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10. If 17th term of an A.P. exceeds its 10th term by 7. Find the common difference.

10. If 17th term of an A.P. exceeds its 10th term by 7. Find the common difference.

Grade:12th pass

1 Answers

Pawan Prajapati
askIITians Faculty 60787 Points
2 years ago
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.

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