Question

Write the nth term of the following sequence in terms of the first term of the sequence.

2, -4, 8, -16, . . .

Answer 1

\[(-1)^{n+1} 2^n \]

Answer 2

\[\text{Table}\left[(-1)^{n+1} 2^n,\{n,1,6\}\right]\to \{2,-4, 8,-16, 32,-64\} \]