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Question

The sum of 'n' terms of an arithmetic sequence is given by Sn=n(5n3). What is its pth term?

A
p(5p3)
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B
5p3
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C
2(5p4)
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D
5p7
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Solution

The correct option is C 2(5p4)
Given:
Sn=n(5n3)
Sp=p(5p3)
Sp1=(p1)[5(p1)3]=(p1)(5p8)
tp=pth term
tp=SpSp1
=p(5p3)(p1)(5p8)
=5p23p5p2+8p+5p8
=10p8
=2(5p4) (Ans C)

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