Question

Describe an infinite geometric series with a beginning value of 2 that converges to 10. what are the first 4 terms of the series?

Answer 1

Please Help

Answer 2

sum to infinty is a1/(1-r)

where a1 = ffirst term and r is the common difference

Answer 3

so we have the relation

10 = 2 (1 - r)
Solve for r.

Answer 4

sorry that is 10 = 2 / (1 - r)

Answer 5

so 10 - 10r = 2
10r = 8
r = 0.8

Answer 6

so the first 3 terms are
2 , 2*0.8, 2*0.8^2

Answer 7

ok so i would multiply 2*0.8 and 2*0.8^2 right? and then so on?

Answer 8

@welshfella