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Question

Value of 11.3.5+13.5.7+15.7.9+ to n terms is equal to:

A
4n2+8n12(2n+1)(2n+3)
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B
14(1(2n+1)(2n+3)13)
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C
4n2+6n12(2n+1)(2n+3)
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D
None of these
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Solution

The correct option is A 4n2+8n12(2n+1)(2n+3)
1135+1357+ General term of the given sequence is : Tn=1(2n1)(2n+1)(2n+3)=14[1(2n1)(2n+1)1(2n+1)(2n+3)
=14(113135
13/5157
1(2n1)(2n+1)1(2n+1)(2n+3))
= 14(131(2n+1)(2n+3))
=1124n2+8n(2n+1)(2n+3)


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