Question

Number of numbers that are divisible by 7 between 100 and 1000 are?

Answer 1

Answer:

So, 128 numbers between 100 and 1000 are divisible by 7.

Step-by-step explanation:

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Answer 2

Answer:

The numbers between 100 & 1000 that are divisible by 7 are,

105,112,119,............,994 which from an A.P with

First term a=105

Common difference d=7

Last term a

n

=994

I.e., a+(n−1)d=994

⟹105+(n−1)(7)=994

⟹7(n−1)=994−105=889

⟹n−1=

7

889

=127

∴n=128

I.e., there are 128 numbers are there between 100 & 1000 which are divisible by 7

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