Asked by Brianna

What is the sum of the geometric sequence 4/3, 2/3, 1/3, 1/6, ....?

I got 8/3, am I right?
Answered by Ms. Sue
No.

You need to change the fractions to equivalent fractions with the common denominator of 6.

4/3 = 8/6
2/3 = 4/6
1/3 = 2/6

Answered by Olivia
This would equal 2 1/2 or 2.50
Answered by Reiny
You want the sum of "all " the terms
an infinite GS
you have a GS, where a = 4/3, r = 1/2

sum(of all the terms) = a/(1-r)
= (4/3)/(1-1/2)
= (4/3)/(1/2)
= 8/3 or 2 2/3
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