Question

How many three-digit numbers are divisible by 7?​

Answer 1

Answer:

Three digit numbers divisible by 7 are

105, 112, 119...994

This is an arithmetic progression

a = 105

d = 7

994 = a + (n-1)d

(994 - a)/d = n-1

(994-105)/7 = n-1

889/7 = n-1

127 = n-1

n = 128

Therefore, there are 128 such terms

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Answer 2

Answer:

To find : n ( number of terms which are divisible by 7).

So the series would be :

105, 112, 119... 994

Here,

a = 105 ( First term )

L = 994 ( Last term )

d = 7 ( common difference )

As per the formula ,

994 = 105 + (n - 1) 7

994= 105 + 7n - 7

994 = 98 + 7n

994 - 98 = 7n

896/7 = n

n= 128