The first term of an AP is p and its common difference is q. Find its 10th term from its choices.

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p - 9q

p + 10q

P + 11q

p + 9q

answer is D.

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Detailed Solution

It is given that the first term of an AP is p and its common difference is q.
We have to find the 10th term of an AP.
From the given information, we know that,

a = p d = q

The nth term of an AP is given by,

a n = a + (n − 1) d

Substitute the known values in the formula,

a 10 = p + (10 − 1) q

= p + 9 q

The 10th term of an AP is p + 9q.
Hence, option 4) is correct.

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