If the 2nd term of an AP is 13 and the 5th term is 25, what is its 7th term?

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KollegeApply · Accepted Answer

33 Explanation: We know that the nth term of an AP is an = a + (n – 1)d Where, a = first term an is nth term d is the common difference a2 = a + d = 13 ...(1) a5 = a + 4d = 25 ...(2) From equation (1) we have, a = 13 – d Using this in equation (2), we have 13 – d + 4d = 25 13 + 3d = 25 3d = 12 d = 4 a = 13 – 4 = 9 a7 = a + 6d = 9 + 6(4) = 9 + 24 = 33

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