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Question

If (12t1)+(22t2)+.......+(n2tn)=13n(n21)
then tn is n .

A
True
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B
False
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Solution

The correct option is A True
n2Sn=13n(n2 1)
Sn=16n(n +1)(2n +1)13n(n +1)(n 1)
Or Sn=16n(n +1).(3)=12n(n +1)=n
= 1 + 2 + 3......n tn=n
Alt.tn=SnSn1=12[n(n +1)(n 1)n]=12n.2=n

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