The product (32)(32)16(32)136...to infinity is
16
32
64
0
Explanation for correct option
Given series (32)(32)16(32)136...∞ can also be written as (32)1+16+136+...∞
Here, 1+16+136+...∞is an infinite G.P. with first term a=1 and common ratio r=16
Sum of infinite terms of G.P. =a1-r
So, 1+16+136+...∞=11-16
⇒1+16+136+...∞=16-16
⇒1+16+136+...∞=65
Thus, (32)1+16+136+...∞=3265
=25×65 ∵amn=am×n
=26
⇒ (32)1+16+136+...∞=64
Hence, the correct option is option(C) i.e. 64
The product 32, (32)16 (32)136 ....... to ∞ is equal to
root 6 plus root 6 till infinity is equal to