Brainliest Write the sum using summation notation, assuming the suggested pattern continues. 2 - 8 + 32 - 128 + ... summation of 2 times 4 to the power of the quantity n plus 1 from n equals 0 to infinity summation of 2 times negative 4 to the power of the quantity n minus 1 from n equals 0 to infinity summation of 2 times negative 4 to the power of n from n equals 0 to infinity summation of 2 times 4 to the power of n from n equals 0 to infinity

Question

Mathematics

Romeo Acevedo

26 August, 00:31

Brainliest Write the sum using summation notation, assuming the suggested pattern continues. 2 - 8 + 32 - 128 + ... summation of 2 times 4 to the power of the quantity n plus 1 from n equals 0 to infinity summation of 2 times negative 4 to the power of the quantity n minus 1 from n equals 0 to infinity summation of 2 times negative 4 to the power of n from n equals 0 to infinity summation of 2 times 4 to the power of n from n equals 0 to infinity

+5

Answers (1)

Know the Answer?

Leland Stafford · Answer 1

It's the first choice.

Step-by-step explanation:

The common ratio is - 6/2 = 18/-6 = - 3.

2 * (-3) ^0 = 2*1 = 2.

2 * (-3) ^1 = - 6

2 * (-3) ^2 = 18

2 * (-3) ^3 = - 54.

So in summation notation is

∞

∑ 2 (-3) ^n

n=0