SOLUTION: Write the general term of the following sequence: -2, 3, 8, 13, 18, 63

Algebra ->  Sequences-and-series -> SOLUTION: Write the general term of the following sequence: -2, 3, 8, 13, 18, 63      Log On


   

Question 1048005: Write the general term of the following sequence:
-2, 3, 8, 13, 18, 63
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

-2, 3, 8, 13, 18, highlight%2863%29, it must be highlight%2823%29
as you can see, to get 3 you add 5 to -2
to get 8 you add 5 to 3
to get 13 you add 5 to 8
and the difference between each pair of terms is d=5

The formula for the general term of an arithmetic sequence is:
a%5Bn%5D+=+a%5B1%5D+%2B+%28n-1%29d.......since first term is a%5B1%5D=-2 and common difference is d=5, we have
a%5Bn%5D+=+-2+%2B+5%28n-1%29