All Precalculus Resources
Example Question #2053 : High School Math
Consider the sequence:
What is the fifteenth term in the sequence?
The sequence can be described by the equation , where is the term in the sequence.
For the 15th term, .
Example Question #1 : Terms In A Series
What is the sum of the first terms of an arithmetic series if the first term is , and the last term is ?
Write the formula to find the arithmetic sum of a series where is the number of terms, is the first term, and is the last term.
Substitute the given values and solve for the sum.
Example Question #2 : Terms In A Series
Given the terms of the sequence , what are the next two terms after ?
The next two terms are and . This is the Fibonacci sequence where you start off with the terms and , and the next term is the sum of two previous terms. So then
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 between each term.
Rewriting the series we get,