common difference of an AP in which a 18 - 14 is equal to 32 is _______
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An arithmetic progression is a set of numbers which differ from the previous them with a constant value.To find common difference for the A.P. a18 - a14 = 32,
Let Common Difference be 'd',
a18 = a + 17d,
a14 = a + 13d,
a + 17d - ( a + 13d) = 32,
On simplifying further we get,
17d - 13d =32,
d = 32/4,
d = 8.
Therefore, the common difference of the given A.P. is 8.
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