Question

Find the nth term for -2, 4, -8, 16, -32

Answer 1

it is a geomatric progression

Answer 2

u know abt that

Answer 3

ys @gorv is correct

Answer 4

gorv is correct but it is Geometric Progression actually, also acronyms as GP.. :)

Answer 5

Just kidding but not typing.. :P

Answer 6

\[(-1)^n 2^n\]

Answer 7

-2, 4, -8, 16, -32 ...

This is known as a geometric progression, or a GP.
Why?
Well, because each contiguous term has a COMMON ratio.

If you observe, in this case, the next term in the series is -2 times the previous!
So, here, the common ratio is = -2

The nth term of a GP, or \(a_n\), is given by: \(ar^{n-1}\)

a is the first term = -2
r is the common ratio = -2

Can you find \(a_n\) now? :)