Question

How many numbers are there between 102 and 750
which divisible by 8​

Answer 1

Answer:

81 there are 81 numbers which are there between 102 and 750 divisible by 8

Answer 2

After 102 , 104 is divisible by 8 so we take it as our first term of the A.P [ a = 104 ]

Before 750 , 744 is divisible by 8 so we take it as our last term of the A.P [ $a_{n} = 744$ ]

a = 104 ,

d = 8

$a_{n} = 744$

$We \: know \: that \:, \\ \\ \qquad \qquad \boxed{a_{n} = a + (n-1)d} \\ \\ \Rightarrow \qquad 744 = 104 + 8n - 8 \\ \\ \Rightarrow \qquad 8n = 744 - 96 \\ \\ \Rightarrow \qquad n = \frac{648}{8} \\ \\ \Rightarrow \qquad n = 81 \\ \\ \bold{\therefore There \: are \: 81 \: numbers \: between \: 102 \: and \: 750 \: which \: are \: divisible \: by \: 8}$