SOLUTION: A certain arithmetic sequence has a_(base)5=-10 and a_(base)12=18 . Find a_(base)2 and a

SOLUTION: A certain arithmetic sequence has a_(base)5=-10 and a_(base)12=18 . Find a_(base)2 and a_(base)17. Thank you very much.

Question 986705: A certain arithmetic sequence has a_(base)5=-10 and a_(base)12=18 .
Find a_(base)2 and a_(base)17.
Thank you very much.
Answer by ikleyn(52879)   (Show Source): You can put this solution on YOUR website!
.
A certain arithmetic sequence has = -10 and = 18. Find and .
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According to the condition,

= + = + = -10           (1)     and

= + = + = 18.       (2)

By distracting (1) from (2) you get

(11 - 4)*d = 18 - (-10),

7d = 28.

Hence, d = = 4 (the common difference of the arithmetic progression).

Now from (1) you will easily find = -10 - 4*4 = -26.

From this point, complete yourself the remaining part.

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