Question

Find the number of terms from 1 to 1000, which is divisible by 7​

Answer 1

142

the ans is attached above An is highest 3 digit number divisible by 7

Answer 2

Answer:

we can see that all multiples of 7 forms an A.P.

in this A.P.

a= 7  

$a_{n}$ = 994(largest number inside 1000 which is divisible by 7)

d = 7

now we need to find the number of terms n

$a_{n}$ =a +(n-1)d

994   = 7 +(n-1)7

994-7= 7n-7

994   = 7n ( cancelling both -7)

$\frac{994}{7} =n$

142 = n

therefore there are 142 terms divisible by 7 inside 1- 1000