Question 1049143
When a number n is divided by 7, the remainder is 2
<pre>
So n is 2 more than some multiple of 7, so

n = 7k+2, for some positive integer k.
</pre>
What is the remainder when 2n+1 is divided by 7?
<pre>
2n+1 = 2(7k+2)+1 = 14k+4+1 = 14k+5

When 14k+5 is divided by 7,

  <u> 2k+0</u>
7)14k+5  
  <u>14k</u>
      5
      <u>0</u>
      5

So the remainder is 5.

Edwin</pre></b>