the ratio of the 5th and 3rd term of an APis 2'5 find the ratio of the 15th and 14th term
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Let the first be a and common difference be b
A.T.Q,
(a + 4d) / (a + 2d) = 2/5
5a + 20d = 2a + 4d
3a + 16d = 0
=> a + 14d / a + 13d
=> -16d/3 + 14d / -16d/3 + 13d
=> (-16d + 42d)/3 / (-16d + 39d)/3
=> 26d / 3 / 23d / 3
=> 78d / 69d
=> 78/69
=> 26/23
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