In an AP the ratio of the 7th term to the 10th term is 1 If the 16th term is 15 what is the 3rd term...........

Quantitative Aptitude ( CCS) Arithmetic progression

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In an AP, the ratio of the 7th term to the 10th term is -1. If the 16th term is -15, what is the 3rd term?

-11

-13

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Explanation:

The 7th and the 10th terms are (a + 6d) and (a + 9d) respectively.
The ratio of these terms is -1.
Solving this ratio, we get -2a = 15d.
The 16th term is (a + 15d) = -15.
Substituting for a, we get a = 15 and d = -2.
Therefore, the 3rd term is (a + 2d) = 11.