Q.

For a positive integer n, Let a(n)=1+12+13+14+…+12n−1. then

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a

a(100)≤100

b

a(100)>100

c

a(200)≤100

d

None of these

answer is A.

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Detailed Solution

It can be proved with the help of mathematical induction that n2100 and  a(100)≤100
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