In an AP the ratio of the 2nd term to the 6th term is 2 5 If the 8th term is 26 what is the 10th ter...........

Quantitative Aptitude ( CCS) Arithmetic progression

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In an AP, the ratio of the 2nd term to the 6th term is 2/5. If the 8th term is 26, what is the 10th term?

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Explanation:

The 2nd and the 6th terms are (a + d) and (a + 5d) respectively.
The ratio of these terms is 2/5. Solving this ratio,
we get 3a = 5d. The 8th term is (a + 7d) = 26.
Substituting for a, we get a = 5 and d = 3.
Therefore, the 10th term is (a + 9d) = 32