Mathematics

How many multiples of 4 lie between 10 and 250?

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Multiples of 4 lying between 10 and 250 are,

12, 16, 20, 24, ………., 248.

The above sequence is an A.P. with d = 4.

Let 248 be n^th term.

∴ a_n = 248

⇒ 12 + 4(n - 1) = 248

⇒ 12 + 4n - 4 = 248

⇒ 4n + 8 = 248

⇒ 4n = 240

⇒ n = 60.

Hence 60, multiples of 4 lie between 10 and 250.

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