Question

Find an arithmetic progression which lies between 200 and 300 and all are multiples of 7.

Answer 1

203.210.217............294
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Answer 2

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An A.P. that lies between 200 and 300 and all are multiples of 7.

203,210,217,224,231,238,245,252,259,266,273,280,287,294.

First term = 203

Last term = 294

Common difference = +7.

Number of terms = 14.

 •  How did we find first term ?

Since the A.P.'s term should be multiple of 7 .So, first term of A.P. will be first multiple of 7 between 200 and 300.
By dividing 200 by 7, 200/7 = 28.57..... So the first term will be 29 x 7 = 203.

 • How did we find last term ?

The last term of A.P. will be the greatest multiple of 7 between 200 and 300.
So, 300 / 7 = 42.18..... So the last term = 42 x 7 = 294.


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