Question

What is the 9th term in the geometric sequence described by this explicit

formula?
an=-6.(2)(n-1)
O A. -3072
B. 3072
C. -1536
D. 1536

Answer 1

C

Explanation:

The explicit formula is aₙ = -6 · 2⁽ⁿ⁻¹⁾, and we want to find the 9th term in the sequence. To find it, we can simply substitute n = 9 into the explicit formula, which gives us:

a₉ = -6 · 2⁽⁹⁻¹⁾

= -6 · 2⁸

= -6 · 256

= -1536

Hope this helps!