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Question

Find the sum to n terms of the AP:
5, 2, -1, -4, -7, ... 



A

n2(133n)

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B

n(23n)

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C

n2(7+3n)

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D

n(n2)

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Solution

The correct option is B

n2(133n)


The given sequence is  5, 2, -1, -4, -7, ...., an AP with first term a=5 and common difference d=25=3.

The sum to n terms of an AP of first term a and common difference d is
     Sn=n2[2a+(n1)d].Sn=n2[10+(n1)(3)]
         =n2[103n+3]
         =n2[133n]


Mathematics

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