Question

how many 3 digit natural numbers are divided by 7
Ap question​

Answer 1

Step-by-step explanation:

let, the total no.of three digit no.divisible by 7 be n.

first 3 digit no. divisible by 7 is 105

and, last one is 994.

The given condition forms. an AP

where , a=105 n=994 d= 7

so by applying arithmetic formula of n term you will get

An= a + (n-1)d

994= 105 + (n-1)7

994- 105=(n-1)7

(n-1)7=889

n-1=127

n=128

hence, total no. of terms is 128