Question

Find the sum of first 10 multiples of 7.
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Answer 1

Concept Introduction:

In math, multiples are the numbers you get when you multiply a certain number by an integer. In math, multiples are the numbers you get when you multiply a certain number by an integer.

Given:

The sum of first 10 multiples of 7.

Find:

Find the sum of first 10 multiples of 7.

Solution:

According to problem :

7+14+21+28+35+42+49+56+63+70

385.

Final Answer:

Hence the sum of first 10 multiples of 7 is 385.

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Answer 2

Answer:

the sum of first 10 multiple of 7 is 385 .

Step-by-step explanation:

Given:

We are given a integer 7

To Find :

We have to find the sum of first 10 multiples of 7

Solution :

Since we know that the first 10 multiples of 7 = 7 , 14 , 21 , 28 , 35 , 42 , 49 , 56 , 63  , 70

Since we can observe that the arithmetic progression   = 7 , 14 , 21 .... 70

that has 10 terms and first term = 7 and the common difference  = 7

then the sum of first 10 terms of the AP = $\frac{n}{2}[2a+(n-1)d]$

Here n = 10 , a = 7 and d = 7

then the sum = $\frac{10}{2}[2\ \text{x} \ 7 + (10-1)\ \text{x}\ 7]$

                      = 5 [ 14 + 9 x 7 ]

                      = 77 x 5

                      =  385

Hence we get that the sum of first 10 multiple of 7 is 385 .

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