Question

(1+1/2)(1+1/3)(1+1/4)...........(1+1/120) what is the answer?

Answer 1

Hi ,

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

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

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

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.
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( 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

I hope this helps you.

:)

Answer 2

hi,

(1+1/2)=(2+1)/2=3/2(by takingLCM as 2)
(1+1/3)=(3+1)/3=4/3(by taking LCM as 3)
(1+1/4)=(4+1)/4=5/4(by taking LCM as 4)
(1+1/120)=(120+1)/120=121/120(by taking LCM of both fractions as 120)
All the answers are in the form of improper fraction i.e. mixed fraction.
HOPE IT HELPS YOU.