Question

how many multiples of 4 lie between 10 to 50​

Answer 1

Step-by-step explanation:

10 multiple of 4 lie between 10 and 50

Answer 2

$\huge{\red{\underline{\underline{\mathfrak{Answer}}}}}$

Ten multiples of 4 will lie between 10 and 50.

$\huge{\red{\underline{\underline{\mathfrak{Explanation}}}}}$

Multiples of 4 lying between 10 and 50 are :-

12, 16, 20, ........., 48

Here, the numbers are in AP where,

a = 12, d = 16-12 = 4 and l = 48

Let it contain 'n' terms.

Then,

$l = a + (n - 1)d \\ = > 48 = 12 + (n - 1)4 \\ = > 48 - 12 = (n - 1)4 \\ = > 36 = (n - 1)4 \\ = > \frac{36}{4} = n - 1 \\ = > 9 = n - 1 \\ = > n = 9 + 1 \\ = > n = 10$

Hence, there are ten multiples of 4 between 10 and 50.

$\huge{\red{\underline{\underline{\mathfrak{Thank \: You}}}}}$