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If a = underset(55 "times")underbrace(11...

If `a = underset(55 "times")underbrace(111.....1), b= 1+10+10^(2)+10^(3)+10^(4) and c=1+10^(5)+10^(10)+.+10^50` then prove that a=bc

A

`b, (a)/(2),c` are in arithmetic progression

B

`b, sqrta, c ` are in geometric progression

C

a, b, c are in geometric progression

D

`a, sqrtb, c` are in arithmetic progression

Text Solution

Verified by Experts

The correct Answer is:
B
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