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Arithmetic Progressions
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31/05/2021 11:34 am
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If 17th term of an A.P. exceeds its 10th term by 7. Find the common difference.
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31/05/2021 11:36 am
We know that, for an A.P series;
an = a+(n−1)d
a17 = a+(17−1)d
a17 = a +16d
In the same way,
a10 = a + 9d
As it is given in the question,
a17 - a10 = 7
Therefore,
(a + 16d) - (a + 9d) = 7
7d = 7
d = 1
Therefore, the common difference is 1.