Question

Given the sequence ( c(n) = -(2)(9) left(-(3)(4)right)^(n-1) ), what is the 2nd term in the sequence?

A. ( (1)(6) )
B. ( -(1)(6) )
C. ( (3)(8) )
D. ( -(3)(8) )

Answer 1

B. ( -(1)(6) ). The 2nd term in the sequence is -(6), which corresponds to option B. (-(1)(6)).

Step-by-step explanation:

To find the 2nd term in the sequence, we need to substitute n=2 into the given formula:

c(2) = -2(9)-(-3)(4)^(2-1)

Simplifying, we get:

c(2) = -18-(-3)(4)

c(2) = -18-(-12)

c(2) = -18+12

c(2) = -6

Therefore, the 2nd term in the sequence is -(6), which corresponds to option B. (-(1)(6)).