Question

how many multiples of 4 between 10 and 205

Answer 1

here is your answer mate.....❤❤

Answer 2

There are 49 multiples of 4 between 10 and 205

Solution:

We have to find the number of multiples of 4 between 10 and 205

The sequence goes like this,

12 , 16 , 20 , ......... , 204

This forms a arithmetic sequence with common difference 4

The nth term of arithmetic sequence is given as:

$a_n = a + (n - 1)d$

$a_n$ is the nth term

a is first term

d is common difference

Therefore,

a = 12

d = 4

$a_n = 204$

Substituting the values we get,

$204 = 12 + (n-1) \times 4 \\\\204 = 12 + 4n - 4 \\\\4n = 204 - 8 \\\\4n = 196 \\\\n = 49$

Thus there are 49 multiples of 4 between 10 and 205

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