Question

Find the number of integers between 100 and 1000 that are Divisible by 7
Not divisible by 7

Answer 1

Answer: number of terms divisible by 7 = 128

Number of terms NOT divisible by 7 = 773

Step-by-step explanation:

Let the first term be “a”, and common difference be “d”

To find the “n”th term, we use the formula

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

Integers between 100 and 1000 that are divisible by 7:

105, 112, 119...... 994

Here, a = 105; d = 7; “n”th term = 994

Using the “n”th term formula, we get

994 = 105 + (n-1)7

=> 889 = (n-1)*7

=> 127 = n-1

=> n = 128

Therefore number of term divisible by 7 in between 100 and 1000 is 128

Therefore number of terms that are not divisible by 7 between 100 and 1000 is

(1000-100+1) - 128 = 901 - 128 = 773 terms

Please brainlist my answer, if helpful!