Question

For how many integers between 200 and 500 are divisuble by8

Answer 1

Heya Mate,

Answer: 37 integers.

Solution:

The first integer after 200 that is divisible by 8 is is 208 = First number of an Arithmetic Progression with common difference 8.

Then, First number (a) = 208

Common difference (d) = 8

And the Last integer of A.P. is 496 = nth term

$AP = 208 \: 224 \: 232....496$

And we know,

$a_{n} = a + (n - 1)d \\ 496=208 + (n - 1)8 \\ 496 = 208 + 8n - 8 \\ 288 = 8n - 8 \\ 8n = 296 \\ n = \frac{296}{8} \\ n = 37$

Hence, there are 37 integers between 200 and 500 which can divisible by 8.

I hOpe It HeLps You!