SOLUTION: What is the sequence patten and identify the sequences as arithmetic, geometric , or neither. 1. 3,6,12,24,... 2. 1,3,5,7,... 3. 1,2,6,24,... 4. 0,7,14,21,...

Algebra ->  Sequences-and-series -> SOLUTION: What is the sequence patten and identify the sequences as arithmetic, geometric , or neither. 1. 3,6,12,24,... 2. 1,3,5,7,... 3. 1,2,6,24,... 4. 0,7,14,21,...      Log On


   



Question 155500: What is the sequence patten and identify the sequences as arithmetic, geometric , or neither.
1. 3,6,12,24,...
2. 1,3,5,7,...
3. 1,2,6,24,...
4. 0,7,14,21,...

Found 2 solutions by vleith, jim_thompson5910:
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
1) each entry is 2 times the previous entry. Geometric
2) each entry is 2 greater than the previous entry. Artimetic
3) each entry is (n+1) times the previous entry. 2 = 1*2, 6 = 2*3, 24 = 6*4. Geometric
4) each entry is 7 more than the previous entry. Arithmetic

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'll do the first two to get you started

1. 3,6,12,24,...

Notice how each term is multiplied by 2 to get from term to term. In other words, 3*2=6, 6*2=12, 12*2=24, etc. So this means that the sequence is the geometric pattern a%5Bn%5D=3%282%29%5En where "n" starts at zero. If you want "n" to start at 1, then the sequence is a%5Bn%5D=3%282%29%5E%28n-1%29





2. 1,3,5,7,...


To get from term to term, simply add 2 to each term. In other words, 1+2=3, 3+2=5, 5+2=7, etc. So this means that the sequence is the arithmetic pattern a%5Bn%5D=2n%2B1 where "n" starts at zero. If you want "n" to start at 1, then the sequence is a%5Bn%5D=2n-1