how many numbers between 11 and 90 are divisible by 7, Numbers, General Mathematics

Question:How many numbers between `11` and `90` are divisible by `7`?

Answer The required numbers are `14,21,28,35....77,84.`
This is an A.P. with `a=14` and `d=(21-14)=7`.
Let it contain n terms.
Then,`T~n=84`
`⇒ a+(n-1)d=84`
`⇒ 14+(n-1) xx 7`
`=84 or n=11`
`:.` Required number of terms `=11`

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How many numbers between `11` and `90` are divisible by `7`?

Question:How many numbers between `11` and `90` are divisible by `7`?

Answer The required numbers are `14,21,28,35....77,84.` This is an A.P. with `a=14` and `d=(21-14)=7`. Let it contain n terms. Then,`T~n=84` `⇒ a+(n-1)d=84` `⇒ 14+(n-1) xx 7` `=84 or n=11` `:.` Required number of terms `=11`