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Question

The nth term of an AP is given by an=2+5n. The sum of the first 10 terms of the AP is .

A
295
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B
290
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C
350
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D
330
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Solution

The correct option is C 350

The sum of the first n terms of an AP with first term a and common difference d is given by
Sn=n2(2a+(n1)d).
Given, an=2+5n.
a1=7, a2=12, a3=17...and so on.
a=a1=7 and d=a2a1=5.
S10=102(2(7)+(101)5)
=5(59)
=295
Thus, the sum of the first 10 terms of this AP is 295.


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