Grade 11Algebra
If in a series,Tn= (n+1)/(n+2)! then ∑10n=0 tn is equal then prove that it is equal to 1-1/12!
If in a series,Tn= (n+1)/(n+2)! then ∑10n=0 tn is equal then prove that it is equal to 1-1/12!
1 Answer
Arun
Dear Nishtha
On solving
Tn = 1/(n+2)(n+1)
Tn = [1/n+1 - 1/n+2]
Now open sigma from n = 0 t0 n = 10
Sum = [1/1 - 1/2 ]+[1/2 - 1/3]+[1/3 - 1/4]+......[1/11 - 1/12]
All the terms are cancelled out except 1 and 1/12
Sum = 1 - (1/12)
Regards
Arun (askIITians forum expert)
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