Question

how many multiple of 4 lies between 10 and 250

Answer 1

goutami dis is ur ans

Answer 2

$\huge{\underline{\underline{\bf{Solution}}}}$

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$\tt Given \begin{cases} \sf{A.P \: : 12, 16, 20 ....... 248} \\ \sf{First \: term (a) = 12} \\ \sf{Common \: Difference(d) = 4} \\ \sf{Last \: term (A_n) = 248} \\ \sf{Number \: of \: terms (n) = ?} \end{cases}$

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$\Large{\underline{\underline{\bf{To \: Find :}}}}$

We have to find number of terms (n)

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$\Large{\underline{\underline{\bf{Explanation :}}}}$

We know the formula to find the value of n.

$\Large{\star{\boxed{\sf{A_n = a + (n - 1)d}}}}$

___________________[Put Values]

$\sf{\mapsto 248 = 12 + (n - 1)4} \\ \\ \sf{\mapsto 248 = 12 + 4n - 4} \\ \\ \sf{\mapsto 248 = 8 + 4n} \\ \\ \sf{\mapsto 248 - 8 = 4n} \\ \\ \sf{\mapsto 240 = 4n} \\ \\ \sf{\mapsto \frac{\cancel{240}}{\cancel{4}} = n} \\ \\ \sf{\mapsto n = 60}$

$\large{\star{\boxed{\sf{n = 60}}}}$

$\therefore$ Number of multiples of 4 lies between 10 and 250 are 60.