SOLUTION: determine the formula that generates each of the following sequences.... a) 0, -5, -10, -15, -20... b) -18, -16, -14, -12, -10...

Algebra ->  Sequences-and-series -> SOLUTION: determine the formula that generates each of the following sequences.... a) 0, -5, -10, -15, -20... b) -18, -16, -14, -12, -10...      Log On


   



Question 966984: determine the formula that generates each of the following sequences....
a) 0, -5, -10, -15, -20...
b) -18, -16, -14, -12, -10...

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
a) First term is zero. Add -5 to each successive term.
A%5Bn%5D=A%5B0%5D%2B%28n-1%29d
A%5Bn%5D=0%2B%28n-1%29%28-5%29
A%5Bn%5D=-5n%2B5
A%5Bn%5D=5-5n
.
.
b) First term is -18. Add 2 to each successive term.
A%5Bn%5D=-18%2B%28n-1%29%282%29
A%5Bn%5D=-18%2B2n-2
A%5Bn%5D=2n-20