From the choices, find the sum of the first 15 multiples of 8.

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870

960

690

788

answer is B.

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Detailed Solution

We have to find the sum of the first 15 multiples of 8.
The three-digit numbers that are completely divisible by 13 are:
8, 16, 24, 32, 40,…
The above numbers are in the form of an AP.
So,

a = 8,

d = 16 − 8 = 8

n = 15

We know that sum of n-terms in AP is,

S n = n 2 [2 a + (n − 1) d]

Substitute the known values in the above formula,

S 15 = 152 [2 (8) + (15 − 1) 8)]

= 152 [16 + 112] = 960

960 is the sum of the 15 multiples of 8.
Hence option 2) is correct.

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