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? A. 28 B. 29 C. 32 D. 33

Solution

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