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The sum of the series 1 + 2 xx 3 + 3 xx ...

The sum of the series `1 + 2 xx 3 + 3 xx 5 + 4 xx 7+`...upto 11th term is

A

945

B

946

C

916

D

915

Text Solution

Verified by Experts

The correct Answer is:
B
`1 + 2 xx 3 + 3 xx 5 + 4 xx 7` + …. Upto `11^(th)` term
`T_(n) = n (2n - 1)`
`S_(11) = sum_(n = 1)^(11) T_(n) = 2 sum_(n = 1)^(11) n^(2) - sum_(n = 1)^(11) n = 2 xx (11 xx 12 23)/(6) - (11 xx 12)/(2) = 946`
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