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If 17th term of an A.P. exceeds its 10th term by 7. The common difference is:

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answer is A.

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Detailed Solution

Explanation: Nth term in AP is:
a_n = a+(n-1)d
a₁₇ = a+(17−1)d
a₁₇ = a +16d
In the same way,
a₁₀ = a+9d
Given,
a₁₇ − a₁₀ = 7
Therefore,
(a +16d)−(a+9d) = 7
7d = 7

d = 1

Therefore, the common difference is 1.

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