Predict the general, or nth term, an, of the sequence.
-$2,4,8,16,32 , \ldots$
A) $2 \mathrm { n }$
B) $2 n - 1 + 1$
C) $2 n$
D) $2 + 2 ( n - 1 )$

Question

Quizplus · Accepted Answer

The sequence is a geometric sequence where each term is multiplied by 2 to get the next term. The first term is 2, so the nth term can be found by multiplying the first term by 2 raised to the power of (n-1), which is $2 \times 2^{n-1}$. This simplifies to $2^n$, matching choice A.

Predict the General, or Nth Term, An, of the Sequence 2,4,8,16,32,…2,4,8,16,32 , \ldots2,4,8,16,32,…

Predict the General, or Nth Term, An, of the Sequence $2,4,8,16,32 , \ldots$