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the product (32) (32) 1/6 (32) 1/36 .......infinity is equal to?????

the product (32) (32)1/6 (32)1/36.......infinity is equal to?????

Grade:12th pass

4 Answers

Latika Leekha
askIITians Faculty 165 Points
8 years ago
Hello student,
The given series is (32) (32)1/6(32)1/36 ….…...... infinity
= (32) 1+1/6+1/36 + …. ∞
Now, 1+1/6+1/36 + …. ∞
= 1/1-1/6
= 6/5.
So, (32) (32)1/6(32)1/36 ….…...... ∞
= (32) 1+1/6+1/36 + …. ∞
= (32)6/5
= 26
= 64.
mansi dabriwal
29 Points
8 years ago
thanx.....got it..:)
alex
13 Points
8 years ago
wait, how did u get 1/1-1/6 to be 6/5? and why 1/1-1/6 in the 1st place?? how? plz tell me how?? it just doesnt make sense
Panda
24 Points
7 years ago
the formula of sum of infinite terms in a geometric progression is a/(1-r),where “a”is the first term.As 1+(1/6)+(1/36)+.......upto infinity is a geometric progression,we use that formula here.

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