In an AP the ratio of the 2nd term to the 7th term is 1 3 If the 5th term is 11 what is the 15th ter...........

Quantitative Aptitude ( CCS) Arithmetic progression

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In an AP, the ratio of the 2nd term to the 7th term is 1/3. If the 5th term is 11, what is the 15th term?

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Explanation:

The 2nd and the 7th terms are (a + d) and (a + 6d) respectively.
The ratio of these terms is 1/3.
Solving this ratio, we get 2a = 3d.
The 5th term is (a + 4d) = 11.
Substituting for a, we get a = 3 and d = 2.
Therefore, the 15th term is (a + 14d) = 31.