Question

find the sum of all multiples of 7 which are less than 500
need step by step will mark brainliest​

Answer 1

Answer:

Answer:

The sum of all multiples of 7 between 0 and 500 is 17892.

Step-by-step explanation:

Hence the sum of all multiples of 7 between 0 and 500 is 17892.

Answer 2

Answer:

17892

Step-by-step explanation:

The multiples of 7 between 0 to 500 are:

7x1 = 7

7x2 = 14

7x3 = 21

7x4 = 28

7x5 = 35

………….

7x70 = 490

7x71 = 497

Therefore total number of multiples of 7 between 0 and 500 are 71. If we denote by S71 the sum of all these multiples,

S71 = 7+14+21+28+35+…………+490+497

= 7(1+2+3+4+………………….+70+71)

The series within parentheses is the sum of the first 71 natural numbers and the sum is given by the formula n(n+1)/2, where n=total number of terms=71 . Substituting for n,

S71 = (7x71x72)/2 = 7x71x36 = 17892