SOLUTION: Write a variable expression to describe the rule for each sequence. Then find the hundredth term. 3,6,9,12 14,15,16,17 21,42,63,84 -10,-9,-8,-7 Thanks, Sheila

Algebra ->  Sequences-and-series -> SOLUTION: Write a variable expression to describe the rule for each sequence. Then find the hundredth term. 3,6,9,12 14,15,16,17 21,42,63,84 -10,-9,-8,-7 Thanks, Sheila      Log On


   

Question 432068: Write a variable expression to describe the rule for each sequence. Then find the hundredth term.
3,6,9,12
14,15,16,17
21,42,63,84
-10,-9,-8,-7
Thanks, Sheila
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

{3,6,9,12,...} d = 3  a%5Bn%5D=3%2B%28n-1%293, a%5B100%5D=3%2B99%2A3+=+300

{14,15,16,17,...} d = 1  a%5Bn%5D=14%2B%28n-1%29%2A1, a%5B100%5D=14%2B99+=+113

{21,42,63,84,...} d = 21  a%5Bn%5D=21%2B%28n-1%29%2A21, a%5B100%5D=21%2B99%2A21+=2100

{-10,-9,-8,-7,...} d = -1  a%5Bn%5D=+-10%2B%28n-1%29%2A-1, a%5B100%5D=-10%2B99%2A-1+=+-109