Question

how many numbers between 100 to 300 which divide by 7​

Answer 1

Here, between 100 and 300, the first number which divisible by 13 is 104 and the last number which is divisible by 13 is 299, and the common difference is 13.

Let, the nth term = 299

⇒ (first term) + (n - 1)(common difference) = 299

⇒ 104 + (n - 1)(13) = 299

⇒ 13n - 13 = 299 - 104

⇒ 13n = 195 + 13

⇒ 13n = 208

⇒ n = 16

Therefore, there are 16 numbers between 100 and 300 which are divisible by 13.

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Answer 2

given, between 100 and 300

let a= 105

an=294

d=7

thus,

an=a+(n-1)d

294=105+7n-7

119+7=7n

126=7n

n = 126/7

=18 numbers