The first term of an AP

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Solution

Q.
The first term of an AP is p and the common difference is q, then its 10th term is:

1 $q + 9 p$

2 $p - 9 q$

3 $p + 9 q$

4 $2 p + 9 q$

Ans.
(3)

$G i v e n, a = p, d = q ∴ 10 t h t e r m, a_{10} = a + (10 - 1) d = p + 9 q$

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