Math, asked by Amanshaily6121, 1 year ago

how many numbers between 100 and 300 which are divisible by 13

Answers

Answered by MarkAsBrainliest
18
\textbf{- Answer -}

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.

#\textbf{MarkAsBrainliest}
Answered by chitransh24
3

bracket first number plus and minus 1 bracket mein common factor to last factor number

104+(n-1)(13)=299

13n-13=299-104

13n=195+13

13n=208

n=16

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