Question

Find the sum of first 16 multiples of 8

Answer 1

Answer:

hospitals of Allah lucky

Answer 2

Given:

We have given 16 multiples of 8.

To Find:

We have to find sum of 16 multiple of 8?

Step-by-step explanation:

• We have Multiple of 8 are 8,16,24,so on

• We know any sequence will form A.P when the difference between in it s every term is the same. Hence Here, we can observe that difference between every two terms of A.P will be 8 .hence, it has a common difference .

• Thus, we see Multiples of 8 Form an A.P with

• First term,a=8

• Common difference is given by the formula

                  $d=a_2-a_1=16-8=8$

• Number of terms will be ,n =16

• Now we know sum of n terms of A.P is given by the formula

                $S_n=\frac{n}{2} (2a+(n-1)d)$

• Now put the values a=8, d = 8, n= 16

                $S_n=\frac{16}{2} (2\times8+(16-1)8)\\S_n=8(16+120)\\S_n=8\times136\\S_n=1088$

Hence, the sum of 16 multiples of 8 is 1088.