Question

in an ap the 24th term is twice the 10th term. Find the ratio of 59th term to 17th term

Answer 1

Solution :

ATQ;
a24 = 2 (a10)

=> a + 23d = 2 (a+9d)

=> a + 23d = 2a + 18d

=> a = 5d ..... (1)

Now,
a59 = a+58d = 5d + 58d = 63 d .... [using 1]

a17 = a + 16d = 5d + 16d = 21d .... [using 1]

now, a59/a17 = 63d/21d = 3:1

Hence, Ratio of 59 term to 17th term is 3:1
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