SOLUTION: Write an equation for the nth term of each arithmatic sequence. -5,-2,1,4,7

Algebra ->  Sequences-and-series -> SOLUTION: Write an equation for the nth term of each arithmatic sequence. -5,-2,1,4,7      Log On


   



Question 1001125: Write an equation for the nth term of each arithmatic sequence. -5,-2,1,4,7
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Arithmetic sequence starting at -5, common difference plus3.
n is index of term;
highlight%28-5%2B%28n-1%29%2A3%29

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Write an equation for the nth term of each arithmatic sequence. -5,-2,1,4,7
Equation of a specific term of an AP: a%5Bn%5D+=+a%5B1%5D+%2B+%28n+-+1%29d
Common difference: - 2 - - 5, or - 2 + 5, or 3
a%5Bn%5D+=+-+5+%2B+%28n+-+1%293 ------ Substituting - 5 for a%5B1%5D, and 3 for d
a%5Bn%5D+=+-+5+%2B+3n+-+3
highlight_green%28a%5Bn%5D+=+3n+-+8%29