Math, asked by SahilKaushik, 1 year ago

Find the number of integer between 200 and 500 which are divisible by 7

Answers

Answered by siddhartharao77
87
Let a be the first term and d be the common difference.

The first term between 200 and 500 divisible by 7 is 203 and the last term is 497.

Therefore the first term a = 203 and the common difference d = 7.

We know that sum of n terms of an AP an = a + (n - 1) * d

                                                                  497 = 203 + (n - 1) * 7

                                                                  497 = 203 + 7n - 7

                                                                  497 = 7n + 196

                                                                  497 - 196 = 7n

                                                                  301 = 7n

                                                                  301/7 = n

                                                                  n = 43.


Therefore, there are 43 integers between 200 and 500 which are divisible by 7.


Hope this helps!

siddhartharao77: Thanks for the brainliest
Answered by RehanAhmadXLX
45
Heya :::-

This is your answer.

We have to find the number of integers which are divisible by 7 between 200 and 500.

Soooo.....
The multiples of 7 between 200 and 500 are in the form of AP ......
203, 210, 217, ........., 497.

Therefore,
a = 203.
d = 7, and
an = 497.

We know that
an = a + (n-1)d
497 = 203 + (n-1)7
294 = 7(n-1)
42 = n -1
n = 43.

Hence there 43 integers between 200 and 500 which are divisible by 7.

HOPE U GOT IT

SahilKaushik: Thanku
SahilKaushik: but how I will know that first number Will be 203?
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