Question

write the equation for the nth term of the geometric sequence 12, -3, 3/4, ...

Answer 1

The common ratio is -4.

The sequence will continue as:

12, -48, 192, -768, 3072, -12288, 49152 ...

The terms alternate in sign.

Therefore, the general term will have a (-4)^n in it.

If n = 1, then (-4)^n becomes (-4)^1 = -4

If n = 2, then (-4)^n becomes (-4)^2 = 16

Looking at the first two terms: 12, -48,

-3*(-4) = 12

-3*(16) = -48

Test others of the terms.

The nth term looks to be: -3 * (-4)^n

See what you think.

@SPHott51