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Question

If 18 terms are inserted between 4 and 60 such that the resulting sequence is an AP, then the sum of the resulting AP is .

A
360
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B
480
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C
640
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Solution

The correct option is C 640
If we insert 18 terms in between 4 and 60, the total number of terms, n, will be equal to 20.
Also, a1=4 and a20=60
Moreover, we know that the sum to n terms of the AP is given by
Sn=n2(a+l), where a and l are the first and last terms of the AP respectively.

S20=202(4+60)=10(64)=640

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