Mathematics
In an A.P., if a18 - a14 = 32 then the common difference is
8
-8
-4
4
AP GP
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Answer
Given, a18 - a14 = 32.
We know that
an = a + (n - 1)d
∴ a18 = a + (18 - 1) × d = a + 17d.
a14 = a + (14 - 1) × d = a + 13d.
∴ a18 - a14 = a + 17d - (a + 13d) = a - a + 17d - 13d = 4d.
⇒ 4d = 32
⇒ d = 8.
Hence, Option 1 is the correct option.
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