Question

calculate how many multiples of 7 are there between 100 and 300

Answer 1

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Answer 2

Let there be n multiples.
Then, nth term will be 294
and, first term will be 105
also, common difference will be 7
so, Tn = a+(n-1)d
or, 294= 105+(n-1)7
or, 294= 105+7n-7
or, 294-105+7 = 7n
or, 196 = 7n
so, n = 28
Hence, there are 28 multiples of between 100 and 300.


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