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Question

If the sum of the series 54+51+48+..... is 513, then the number of terms are

A
18
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B
20
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C
17
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D
None of these
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Solution

The correct option is D 18
Sum of an AP = n2(2a+(n1)×d) = 513
where a=54 and d=3
n2(2×54+(n1)×(3)) = 513
n2(1113n) = 513
111n3n2=1026
Solving for n,
n=18

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