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tejas sanjay akole Grade: 12
        

find


1.1!+2.2!+3.3!+............nterms

7 years ago

Answers : (1)

Badiuddin askIITians.ismu Expert
147 Points
										

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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Badiuddin

7 years ago
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