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Question

Let S=16+124+160+1120+ upto . Then the value of 2S is
  1. 14
  2. 12
  3. 1
  4. 2


Solution

The correct option is B 12
S=16+124+160+1120+ upto 

S=n=21n3n

S=12n=2(1(n1)n1n(n+1))

Let un=1(n1)n 

Then S=12n=2(unun+1)

S=12(u2limn1n(n+1)) 

S=12(120) 

S=14

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