The 2nd term of an AP is 13 and its 5th term is 25. What is its 17th term?

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73 Explanation: Let first term = a and common difference = d. 2nd term: a + d = 13. 5th term: a + 4d = 25. Subtract: 3d = 12 $\to$ d = 4. Then a = 13 – 4 = 9. 17th term = a + 16d = 9 + 16 $\times$ 4 = 9 + 64 = 73

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