Answer:
c(2)=6
Step-by-step explanation:
The explicit formula for the sequence is:
[tex]c(n) = - \frac{9}{2} ( { - \frac{4}{3} })^{n - 1} [/tex]
To find the 2nd term, we substitute n=2 to get:
[tex]c(2) = - \frac{9}{2} ( { - \frac{4}{3} })^{2- 1} [/tex]
We simplify to obtain:
[tex]c(2) = - \frac{9}{2} ( { - \frac{4}{3} })^{1} [/tex]
This is the same as:
[tex]c(2) = - \frac{9}{2} ( { - \frac{4}{3} }) [/tex]
We cancel common factors to get:
[tex]c(2) = 3 \times 2 = 6[/tex]
