Question

Determine the 8th term in the sequence defined by: A_n = 3 * 2^n-1​

Answer 1

384 but see below.

Explanation:

Remark

A_n = 3*2^(n - 1) I will assume that's what you mean. I'll give the answer for A_n = 3*2^n - 1 as well.

Solution

n = 8

A_n = 3 *2^(8 - 1)

A_8 = 3*2^7

A_8 = 3* 128

A_8 = 384

If you mean A_n = 3*2^n - 1

Then you would get

A_n =3 * 2^8 - 1

A_8 = 3 * 256 - 1

A_8 = 768 - 1

A_8 = 767