- #1

- 43

- 0

## Homework Statement

suppose that the partial sum of the series (sigma)n=1,infinity a

_{n}is given by the partial sum S

_{n}= (-2n+9)/(-6n+15). Find an expression for a

_{n}when n>1

## Homework Equations

S

_{n}= (-2n+9)/(6n+15

## The Attempt at a Solution

So I attempted to subtract S(n-1) from S(n) to get each term for a

_{n}and got the following terms

a

_{2}=8/9

3=-8/3

4=8/9

5=8/45

6=8/105

7=8/189

8=8/297

How am I supposed to come up with a generalized expression from these terms, or am I wrong from the first step of doing S(n)-S(n-1) to get those terms for a

_{n}? The only pattern I can recognize is that after a

_{4}, the difference of the denominators increase by 24 from one term to the next.

## Homework Statement

## Homework Equations

## The Attempt at a Solution

Last edited: