Question

List all the integers between 100 and 300 which are 11 (mod 17). Kindly don't copy from those web searches. Do it on your own to become the brainliest.​

Answer 1

Answer:

If some number is in the form n=11(mod17) then n=17k+11(for k=an integer).

First number that can be written in the form 17k+11 and n>100 is 113 and last number in this form n<300 is 283.

Numbers in the form 17k+11 can be written in arithmetic progression.

Common difference for A.P=17(k+1)+11–(17k+11)=17.

We know in an A. P,

Last term=first term +(No of terms—1)*Common difference

So, 283=113+ (No of terms—1)*17

Or, No of terms = 283–113/17 +1

Which gives No of integers between 100 and 300 =11.