Question 1088206
<pre>Oh crap!! The other tutor already did it for you!
I was only going to tell you the steps so you could do 
it yourself!  I wish the other tutors would do more of
that!  This is what I was going to tell you to do.
I like to teach students how to do their homework, not do
it for them.  You've heard the old saying "Give a man a
fish...".  But, oh well!

{{{

matrix(1,12,

common,
difference,
""="", 
d,
""="",
(matrix(2,1,2nd,term))-(matrix(2,1,1st,term)),
""="",
(matrix(2,1,3rd,term))-(matrix(2,1,2nd,term)),
""="",
(5k-3)-(2k+1),
""="",
(7k-2)-(5k-3)


)}}}

1.  Solve the equation for k:

{{{matrix(1,3,(5k-3)-(2k+1),""="",(7k-2)-(5k-3))}}}

That's the first thing you are asked for.

2.  Substitute the value you obtained in step 1,
for k in 2k+1 to find the value of the first term 
a<sub>1</sub> = 2k+1.

3.  Substitute the value you obtained in step 1,
for k in 5k-3 to find the value of the second term 

4.  Subtract the result of step 2 from the result
of step 3 to get the common difference d.

5. To find the 17th term, substitute n=17, a<sub>1</sub>d = what you got
in step 2, and d = what you got in step 4.

Edwin</pre>