Write a formula for the general term (the nth term) of the geometric sequence.
-$6,12,24,48,96 , \ldots$
A) $a _ { n } = 6 ( 2 ) ^ { n - 1 }$
B) $a _ { n } = a _ { 1 } + 2 ^ { n }$
C) $a _ { n } = 6 ( 2 n )$
D) $a _ { n } = 6 ( 2 ) ^ { \mathrm { n } }$

Question

Quizplus · Accepted Answer

The sequence is geometric with the first term $a_1 = 6$ and common ratio $r = 2$. The formula for the nth term of a geometric sequence is $a_n = a_1 \cdot r^{n-1}$, which matches choice A.

Write a Formula for the General Term (The Nth Term) 6,12,24,48,96,…6,12,24,48,96 , \ldots6,12,24,48,96,…

Write a Formula for the General Term (The Nth Term) $6,12,24,48,96 , \ldots$