<PRE><B>Question 1163889</B>
&lt;br&gt;
Your steps are fine.&lt;br&gt;
Your initial equations are fine.&lt;br&gt;
Your solution to the system of equations is not right.&lt;br&gt;
Since you didn&#39;t show the work you did to solve the system of equations, we can&#39;t point out your error.  You should be able to find it yourself.&lt;br&gt;
Don&#39;t try to look at your previous work and see what was wrong with it; when you try to do that, you often end up making the same mistake.&lt;br&gt;
Start over with your two equations an try solving them anew.&lt;br&gt;
------------------------------------------&lt;br&gt;
I misread your solution; your answers r=4 and d=3 are correct.&lt;br&gt;
What is wrong is your final answer to the question as to the sum of the first 11 terms of the arithmetic sequence.&lt;br&gt;
That sum is the average of the first and eleventh terms (which you show), MULTIPLIED BY the number of terms (11).&lt;br&gt;
</PRE>