Question

C(n) =-9/2 (-4/3) n-1
What is the 2 term in the sequence?

Answer 1

c(2)=6

Explanation:

The explicit formula for the sequence is:

`c(n) = - (9)/(2) ( { - (4)/(3) })^(n - 1)`

To find the 2nd term, we substitute n=2 to get:

`c(2) = - (9)/(2) ( { - (4)/(3) })^(2- 1)`

We simplify to obtain:

`c(2) = - (9)/(2) ( { - (4)/(3) })^(1)`

This is the same as:

`c(2) = - (9)/(2) ( { - (4)/(3) })`

We cancel common factors to get:

`c(2) = 3 * 2 = 6`