Consecutive Integers - SSAT Upper Level Quantitative
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Three consecutive odd integers have sum 537. What is the product of the least and greatest of the three?
Three consecutive odd integers have sum 537. What is the product of the least and greatest of the three?
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Let the middle integer of the three be 
. The three integers are therefore
, and they can be found using the equation
The three integers are 177, 179, and 181, and the product of the least and greatest is
Let the middle integer of the three be
The three integers are 177, 179, and 181, and the product of the least and greatest is
Which of the following can be the sum of four consecutive positive integers?
Which of the following can be the sum of four consecutive positive integers?
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Let 
, 
, 
, and 
be the four consecutive integers. Then their sum would be
In other words, if 6 were to be subtracted from their sum, the difference would be a multiple of 4. Therefore, we subtract 6 from each of the choices and see if any of the resulting differences are multiples of 4.
Since this only happens in the case of 178, this is the only number of the four that can be a sum of four consecutive integers: 43, 44, 45, 46.
Let
In other words, if 6 were to be subtracted from their sum, the difference would be a multiple of 4. Therefore, we subtract 6 from each of the choices and see if any of the resulting differences are multiples of 4.
Since this only happens in the case of 178, this is the only number of the four that can be a sum of four consecutive integers: 43, 44, 45, 46.
Three consecutive integers have sum 
. What is their product?
Three consecutive integers have sum
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Let the middle integer of the three be 
. The three integers are therefore
, and they can be found using the equation
This contradicts the condition that the numbers are integers. Therefore, three integers satisfying the given conditions cannot exist.
Let the middle integer of the three be
This contradicts the condition that the numbers are integers. Therefore, three integers satisfying the given conditions cannot exist.
Three consecutive even integers have sum 924. What is the product of the least and greatest of the three?
Three consecutive even integers have sum 924. What is the product of the least and greatest of the three?
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Let the middle integer of the three be 
. The three integers are therefore
, and they can be found using the equation
The three even integers are therefore 306, 308, and 310, and the product of the least and greatest of these is
Let the middle integer of the three be
The three even integers are therefore 306, 308, and 310, and the product of the least and greatest of these is
Four consecutive integers have sum 3,350. What is the product of the middle two?
Four consecutive integers have sum 3,350. What is the product of the middle two?
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Call the least of the four integers 
. The four integers are therefore
,
and they can be found using the equation
The integers are 836, 837, 838, 839.
To get the correct response, multiply:
Call the least of the four integers
and they can be found using the equation
The integers are 836, 837, 838, 839.
To get the correct response, multiply:
Three consecutive integers have a sum of 
. What is their product?
Three consecutive integers have a sum of
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Let the middle integer of the three be 
. The three integers are therefore
, and they can be found using the equation
The integers are therefore 103, 104, 105. The correct response is their product, which is
Let the middle integer of the three be
The integers are therefore 103, 104, 105. The correct response is their product, which is
What is the value of 
is this sequence?
What is the value of
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This is a geometric sequence since the pattern of the sequence is through multiplication.
You have to multiple each value by 
to get the next one.
The value before 
is 
so 
.
This is a geometric sequence since the pattern of the sequence is through multiplication.
You have to multiple each value by
The value before
Three consecutive odd integers have sum 537. What is the product of the least and greatest of the three?
Three consecutive odd integers have sum 537. What is the product of the least and greatest of the three?
Tap to see back →
Let the middle integer of the three be . The three integers are therefore
, and they can be found using the equation
The three integers are 177, 179, and 181, and the product of the least and greatest is
Let the middle integer of the three be
The three integers are 177, 179, and 181, and the product of the least and greatest is
Which of the following can be the sum of four consecutive positive integers?
Which of the following can be the sum of four consecutive positive integers?
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Let , , , and be the four consecutive integers. Then their sum would be
In other words, if 6 were to be subtracted from their sum, the difference would be a multiple of 4. Therefore, we subtract 6 from each of the choices and see if any of the resulting differences are multiples of 4.
Since this only happens in the case of 178, this is the only number of the four that can be a sum of four consecutive integers: 43, 44, 45, 46.
Let
In other words, if 6 were to be subtracted from their sum, the difference would be a multiple of 4. Therefore, we subtract 6 from each of the choices and see if any of the resulting differences are multiples of 4.
Since this only happens in the case of 178, this is the only number of the four that can be a sum of four consecutive integers: 43, 44, 45, 46.
Three consecutive integers have sum . What is their product?
Three consecutive integers have sum
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Let the middle integer of the three be . The three integers are therefore
, and they can be found using the equation
This contradicts the condition that the numbers are integers. Therefore, three integers satisfying the given conditions cannot exist.
Let the middle integer of the three be
This contradicts the condition that the numbers are integers. Therefore, three integers satisfying the given conditions cannot exist.
Three consecutive even integers have sum 924. What is the product of the least and greatest of the three?
Three consecutive even integers have sum 924. What is the product of the least and greatest of the three?
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Let the middle integer of the three be . The three integers are therefore
, and they can be found using the equation
The three even integers are therefore 306, 308, and 310, and the product of the least and greatest of these is
Let the middle integer of the three be
The three even integers are therefore 306, 308, and 310, and the product of the least and greatest of these is
Four consecutive integers have sum 3,350. What is the product of the middle two?
Four consecutive integers have sum 3,350. What is the product of the middle two?
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Call the least of the four integers . The four integers are therefore
,
and they can be found using the equation
The integers are 836, 837, 838, 839.
To get the correct response, multiply:
Call the least of the four integers
and they can be found using the equation
The integers are 836, 837, 838, 839.
To get the correct response, multiply:
Three consecutive integers have a sum of . What is their product?
Three consecutive integers have a sum of
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Let the middle integer of the three be . The three integers are therefore
, and they can be found using the equation
The integers are therefore 103, 104, 105. The correct response is their product, which is
Let the middle integer of the three be
The integers are therefore 103, 104, 105. The correct response is their product, which is
What is the value of is this sequence?
What is the value of
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This is a geometric sequence since the pattern of the sequence is through multiplication.
You have to multiple each value by to get the next one.
The value before is so .
This is a geometric sequence since the pattern of the sequence is through multiplication.
You have to multiple each value by
The value before
Which of the following can be the sum of four consecutive positive integers?
Which of the following can be the sum of four consecutive positive integers?
Tap to see back →
Let , , , and be the four consecutive integers. Then their sum would be
In other words, if 6 were to be subtracted from their sum, the difference would be a multiple of 4. Therefore, we subtract 6 from each of the choices and see if any of the resulting differences are multiples of 4.
Since this only happens in the case of 178, this is the only number of the four that can be a sum of four consecutive integers: 43, 44, 45, 46.
Let
In other words, if 6 were to be subtracted from their sum, the difference would be a multiple of 4. Therefore, we subtract 6 from each of the choices and see if any of the resulting differences are multiples of 4.
Since this only happens in the case of 178, this is the only number of the four that can be a sum of four consecutive integers: 43, 44, 45, 46.
Three consecutive integers have sum . What is their product?
Three consecutive integers have sum
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Let the middle integer of the three be . The three integers are therefore
, and they can be found using the equation
This contradicts the condition that the numbers are integers. Therefore, three integers satisfying the given conditions cannot exist.
Let the middle integer of the three be
This contradicts the condition that the numbers are integers. Therefore, three integers satisfying the given conditions cannot exist.
Three consecutive odd integers have sum 537. What is the product of the least and greatest of the three?
Three consecutive odd integers have sum 537. What is the product of the least and greatest of the three?
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Let the middle integer of the three be . The three integers are therefore
, and they can be found using the equation
The three integers are 177, 179, and 181, and the product of the least and greatest is
Let the middle integer of the three be
The three integers are 177, 179, and 181, and the product of the least and greatest is
Three consecutive even integers have sum 924. What is the product of the least and greatest of the three?
Three consecutive even integers have sum 924. What is the product of the least and greatest of the three?
Tap to see back →
Let the middle integer of the three be . The three integers are therefore
, and they can be found using the equation
The three even integers are therefore 306, 308, and 310, and the product of the least and greatest of these is
Let the middle integer of the three be
The three even integers are therefore 306, 308, and 310, and the product of the least and greatest of these is
Four consecutive integers have sum 3,350. What is the product of the middle two?
Four consecutive integers have sum 3,350. What is the product of the middle two?
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Call the least of the four integers . The four integers are therefore
,
and they can be found using the equation
The integers are 836, 837, 838, 839.
To get the correct response, multiply:
Call the least of the four integers
and they can be found using the equation
The integers are 836, 837, 838, 839.
To get the correct response, multiply:
Three consecutive integers have a sum of . What is their product?
Three consecutive integers have a sum of
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Let the middle integer of the three be . The three integers are therefore
, and they can be found using the equation
The integers are therefore 103, 104, 105. The correct response is their product, which is
Let the middle integer of the three be
The integers are therefore 103, 104, 105. The correct response is their product, which is