SOLUTION: Find an explicit equation for 5,8,11, 14,17

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Question 938461: Find an explicit equation for 5,8,11, 14,17
Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!

5---8---11--- 14---17
----3----3----3----- 3---common difference
in first row we have common difference 3, means function is linear and previous term is 3 less then next term:
if we have 5 for first term, using common difference it is 3%2A1%2B2
second term is 8 , using common difference it is 5%2B3=3%2B2%2B3=3%2A2%2B2
third term is 11 , using common difference it is 8%2B3=3%2A2%2B2%2B3=3%2A3%2B2
and so on
in general, we can write an explicit equation as:
a%5Bn%5D+=+3n%2B2 (for all terms given) where n= 1,23....