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Grade: 12th pass
        
find the sum of the given series.
description given in the image
3 years ago

Answers : (2)

Harsh Patodia
IIT Roorkee
askIITians Faculty
906 Points
							PFA
228-1944_2.PNG
3 years ago
mycroft holmes
272 Points
							
(r2+1) . r! = (r2+2r+1).r! -2r.r! = (r+1)2r! – 2r.r! = (r+1) (r+1)r! – 2r.r!
 
= (r+1).(r+1)! – r.r! – r.r!
 
=[(r+1).(r+1)! – r.r!] – [(r+1)! – r!]
 
Thus, the summation is seen to be sum of two telescoping series.
 
The required sum is easily obtained as (n+1). (n+1)! – (n+1)! = n.(n+1)!
3 years ago
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