Precalculus : Terms in a Series
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Example Questions
Example Question #1 : Terms In A Series
Consider the sequence:
What is the fifteenth term in the sequence?
The sequence can be described by the equation 
For the 15th term, 
Example Question #1 : Terms In A Series
What is the sum of the first 
Write the formula to find the arithmetic sum of a series where 
Substitute the given values and solve for the sum.
Example Question #1 : Terms In A Series
Given the terms of the sequence 
The next two terms are 
and so on.
Example Question #3 : Terms In A Series
What is the fifth term of the series
Let's try to see if this series is a geometric series.
We can divide adjacent terms to try and discover a multiplicative factor.
Doing this it seems the series proceeds with a common multiple of 
Rewriting the series we get,
When
Example Question #1 : Terms In A Series
What is the 9th term of the series that begins 2, 4, 8, 16...
512
256
1024
488
144
512
In this geometric series, each number is created by multiplying the previous number by 2. You may also see that, because the first number is 2, it also becomes a list of powers of 2. The list is 2, 4, 8, 16, 32, 64, 128, 256, 512, where you can see that the 9th term is 512.
Example Question #31 : Sequences And Series
What is the 10th term in the series:
1, 5, 9, 13, 17....
31
41
23
37
45
37
The pattern in this arithmetic series is that each term is created by adding 4 to the previous one. You can then continue the series by continuing to add 4s until you've gotten to the tenth term:
1, 5, 9, 13, 17, 21, 25, 29, 33, 37
The correct answer, then, is 37.
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