Question

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

Answer 1

Answer:

c(2)=6

Step-by-step explanation:

The explicit formula for the sequence is:

$c(n) = - \frac{9}{2} ( { - \frac{4}{3} })^{n - 1}$

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

$c(2) = - \frac{9}{2} ( { - \frac{4}{3} })^{2- 1}$

We simplify to obtain:

$c(2) = - \frac{9}{2} ( { - \frac{4}{3} })^{1}$

This is the same as:

$c(2) = - \frac{9}{2} ( { - \frac{4}{3} })$

We cancel common factors to get:

$c(2) = 3 \times 2 = 6$