find1.1!+2.2!+3.3!+............nterms
tejas sanjay akole , 15 Years ago
Grade 12
Algebra> series
1 AnswersBadiuddin askIITians.ismu Expert
Last Activity: 15 Years ago
Dear tejas
S=1.1!+2.2!+3.3!+............nn!
rearrange
S=(2-1)1! +(3-1) 2! +(4-1) 3!+.......(n+1-1) n!
=2 1! -1 1! +3 2! -1 2! + 4 3 ! -1 3!...............(n+1) n! - 1 n!
=2! -1! +3! -2! +4! -3! +..............(n+1)! -n!
=(n+1)! -1
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