SOLUTION: What is the sum of (2/3) + (2/3)^2 + (2/3)^3 + (2/3)^4 +....+ (2/3)^100 ?
I think the answer is 2-2(2/3)^100
Algebra.Com
Question 972087: What is the sum of (2/3) + (2/3)^2 + (2/3)^3 + (2/3)^4 +....+ (2/3)^100 ?
I think the answer is 2-2(2/3)^100
Answer by farohw(175) (Show Source): You can put this solution on YOUR website!
Hello,
Using the rule we have (2/3)^n
where n represents the exponents 1, 2, 3, 4, +... +, 100. So for,
The sum of (2/3) + (2/3)^2 + (2/3)^3 + (2/3)^4 +....+ (2/3)^100 will be as follows:
and the decimal approximation is 1.99999...
Your answer 2-2(2/3)^100 is correct.
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