How many multiple of 4 flying between 10 and 250

1.	How many multiple of 4 flying between 10 and 250
Answer» The multiples of 4 that lie between 10 and 250 are:12, 16, 20, 24, ...., 248a2 - a1 = 16 - 12 = 4a3 - a2 = 20 - 16 = 4a4 - a3 = 24 - 20 = 4As ak+1 - ak is the same for k = 1, 2, 3, etc.The above list of numbers forms an\xa0AP with the first term a\xa0= 12and the common difference d = 4Last term (l) = 248Let there be n term s in this AP. Then, nth term = l{tex} \\Rightarrow {/tex}\xa0a + (n - 1)d = 248{tex} \\Rightarrow {/tex}\xa012 + (n - 1)4 = 248{tex} \\Rightarrow {/tex}\xa0(n - 1)d = 248 - 12{tex} \\Rightarrow {/tex}\xa0(n - 1) = 236{tex} \\Rightarrow n - 1 = \\frac{{236}}{4}{/tex}{tex} \\Rightarrow {/tex}\xa0n - 1 = 59{tex} \\Rightarrow {/tex}\xa0n = 59 + 1{tex} \\Rightarrow {/tex}\xa0n = 60Hence, 60 multiples of 4 lie between 10 and 250.

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