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Question

The value of 13.7+17.11+111.15+.+1(4n1)(4n+3) is

A
n7(4n1)
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B
n3(4n+3)
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C
13(4n1)
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D
13(4n3)
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Solution

The correct option is C n3(4n+3)
13.7+17.11+111.15+.+1(4n1)(4n+3)
Tn=1(4n1)(4n+3)=14[14n114n+3]
T1=14[1317]
T2=14[17111]
Tn=14[14n114n+3]
Sn=14[1314n+3]=n3(4n+3)

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