Asked by Tammy

Find the sum of all the terms of
1/3 + 2/9 + 3/27 + 4/81 + ...
Answered by Tammy
Ridiculous solution and ridiculous answer
Answered by Tammy
Yes it converges to 3/4

Do you want me to show you how to solve this question?
Answered by Tammy
let S = 1/3 + 2/9 + 3/27 + 4/81 + ...
multiply both sides by 1/3
1/3 S = 1/9 + 2/27 + 3/81 + ....

subtract them:
S - 1/3 S = 1/3 + 1/9 + 1/27 + 1/81 + ...
the right side is a GP with a = 1/3 and r = 1/3 , so
2/3 S = a/(1-r) = (1/3) / (2/3) = 1/2

S = (1/2) / (2/3) = 3/4

now compare the simple solution given by a human to the ridiculous dribble given by you , the bot
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