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s=(3/1!+2!+3!)+(4/2!+3!+4!)+.............+(2008/2006!+2007!+2008!) then s is : A)1/2 - 1/2006! B)1/2 - 1/2008! c)1/2006! - 1/2008! D)1/2007! - 1/2008!

s=(3/1!+2!+3!)+(4/2!+3!+4!)+.............+(2008/2006!+2007!+2008!)
then s is :
A)1/2 - 1/2006!
B)1/2 - 1/2008!
c)1/2006! - 1/2008!
D)1/2007! - 1/2008!

Grade:12

1 Answers

Bharani VLSVSS
19 Points
10 years ago

Answer is option b).

The 'r' th term can be written as (r+2)/r!+(r+1)!+(r+2)! = (r+1)/(r+2)! = 1/(r+1)! - 1/(r+2)!.

This sum can be telescoped(finite difference method) to get the required answer.

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