HSPT Quantitative : How to work with number series
Study concepts, example questions & explanations for HSPT Quantitative
All HSPT Quantitative Resources
Example Questions
Example Question #191 : Number Series*
Give the missing term in the following sequence:
The sequence alternates between positive and negative values, and the blank appears between two negative terms; the missing term must be positive, so we can eliminate 
Example Question #192 : Number Series*
Give the missing term in the following sequence:
The pattern is as follows: add 1, multiply by 1; add 2, multiply by 2; add 3, multiply by 3; and keep adding, then multiplying by the next whole number. Examine below:
The missing entry:
Continuing, we can confirm this is correct:
Example Question #193 : Number Series*
Give the missing term in the following sequence:
The sequence is obtained by adding, multiplying by, subtracting, and dividing by 1, in that order; then doing the same operations with 2 in that order; and so forth, increasing the number by 1 every four terms, as follows:
Working the same operations with 2:
Working the same operations with 3:
Multiply by 3 to get the next term:
Continuing the pattern, we see this is correct:
Example Question #194 : Number Series*
Give the missing term of the sequence:
The sequence is formed as follows:
Take the sequence of consecutive integers
Change 3 and every fourth successive entry to its (negative) opposite:
Change 2 and every fourth successive entry to its reciprocal:
Change 4 and every fourth successive entry to the (negative) opposite of its reciprocal:
The missing entry is 
Example Question #192 : Number Series*
Give the missing term in the following sequence:
The terms are generated by adding squares of consecutive odd integers, as follows:
The missing number is generated as follows:
Continuing the pattern, we see that this is correct:
Example Question #196 : Number Series*
Give the missing term in the following sequence:
The pattern is as follows: add 2, multiply by 2, subtract 2; add 3, multiply by 3, subtract 3; keep working this same sequence of operations with consecutive whole numbers. Examine below:
Multiply by 4 to fill in the blank:
Continuing the pattern, we see this is correct:
Example Question #194 : Number Series*
Give the missing term in the following sequence:
Subtract 1, then 2, then 3, and so forth; the amount subtracted increases by 1 each time, as shown:
Subtract 6 to get the missing term:
Continuing the pattern, we confirm this is correct:
Example Question #195 : Number Series*
Give the missing term in the following sequence:
Alternately add 4 and 8 to each term, as follows:
Add 4 to get the missing term:
Continuing the pattern, we see this is correct:
Example Question #196 : Number Series*
Give the missing term in the following sequence:
The terms of the sequence are obtained by alternately multiplying by 
Multiply by 
Continuing the pattern, we see that this is correct:
Example Question #193 : Number Series*
What number should come next in this series?
There are two alternating patterns in this series. The first is add 
The second is to multiply by 
The blank belongs to the second pattern. The last operation is
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