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
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Question 986764: A certain arithmetic sequence has a_(base)5=-10 and a_(base)12=18 .
Find a_(base)2 and a_(base)17.
Thank you
Answer by ikleyn(52832) (Show Source): You can put this solution on YOUR website!
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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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