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How many threedigit numbers are divisibl...

How many threedigit numbers are divisible by 7?

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The list of 3 digit numbers divisible by 7 is 105 + 112 + 119 + .... + 994
It is an A.P.
Here, a=105,
`d=112-105=119-112=7`
Let `a_(n)=994`
`rArr 105+(n-1)7=994`
`rArr105+7n-7=994`
`rArr 7n = 896`
`rArr n=128`
`:.` Three digit numbers divisible by 7 are 128.
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