1.

SECTION:C(3X81. Find the sum of the first 15 multiples of 8.​

Answer»

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We know that the,

Multiple of 8 are :-

8 , 16 , 24 , 32 , 40, 48 , 56, 64 , 72 , 80 , 88 , 96,----------------,n

According to the QUESTION,

The sum of the first 15 multiples of 8.

Using A.P.

We know that the sum of first n TERMS are :-

Sn = \dfrac{n}{2} (2a + (n - 1)d)

Where, n = no. of terms = 15

a = term = 8.

a2 = 16

d = COMMON difference = a2 - a = 16 - 8 = 8

➝ Sn = \dfrac{15}{2} (2 \times  8 + (15 - 1)8)

\dfrac{15}{2} (16 + (14)8)

\dfrac{15}{2} (16 + 112 )

\dfrac{15}{2} (128 )

➝ 7.5 × 128

960



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