5.(1+%)(1+%)(1+%)(1 +1 /1 20)III? – InterviewSolution

1.

5.(1+%)(1+%)(1+%)(1 +1 /1 20)III?

Answer»

( 1 + 1 /2 ) = ( 2 + 1 ) / 2 = 3/2

( 1 + 1/3 ) = ( 3 + 1 ) /3 = 4 / 3

( 1 + 1/ 4 ) = ( 4 + 1 ) / 4 = 5 / 4

...( 1 + 1/ 120 ) = ( 120 + 1 ) / 120 = 121 / 120

Therefore ,

(1 + 1/2 ) ( 1 + 1/3 ) ( 1 + 1/4 ) ....( 1 + 1/ 120)

= ( 3/2 ) ( 4/3) ( 5/4 ) ..... ( 121 / 120 )

after cancellation ,

= 121 / 2

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