Question

Write the sum using summation notation, assuming the suggested pattern continues.

4 - 24 + 144 - 864 + ...

Answer 1

it is a geometric series with r=6

Answer 2

ik the formula but i need the notation

Answer 3

find the general term first

Answer 4

a = 4
r = -6

\(a_n = ?\)

Answer 5

for geometric sequence,

\(a_n = ar^{n-1}\)

plugin a and r values

Answer 6

\(a_n = 4(-6)^{n-1}\)

Answer 7

use this expression in your SUM notation

Answer 8

i need to use the big E

Answer 9

would it be E4(-6)n-1

Answer 10

\(\large \sum \limits_{n=1}^{\infty} 4(-6)^{n-1}\)