SOLUTION: Let a and b be the 4th and 5th term of an arithmetic sequence, respectively. What is its 10th term in terms of a and b?

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Question 1020715: Let a and b be the 4th and 5th term of an arithmetic sequence, respectively. What is its 10th term in terms of a and b?
Answer by ikleyn(52790) About Me  (Show Source):
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Let a and b be the 4th and 5th term of an arithmetic sequence, respectively. What is its 10th term in terms of a and b?
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a%5B10%5D = a%5B5%5D + 5%2A%28a%5B5%5D-a%5B4%5D%29.

Or, which is the same (is equivalent)

a%5B10%5D = 6%2Aa%5B5%5D - 5%2Aa%5B4%5D.