SOLUTION: Write the general term for the following sequences: 1. 1/2, 1/3, 1/4, 1/5, ... 2. 1, 8, 27, 64, ... 3. 7, 7, 7, 7, ... 4. 1/11, 2/12, 3/13, 4/14, ... 5. 9, 99, 999, ... 6.

Algebra ->  Sequences-and-series -> SOLUTION: Write the general term for the following sequences: 1. 1/2, 1/3, 1/4, 1/5, ... 2. 1, 8, 27, 64, ... 3. 7, 7, 7, 7, ... 4. 1/11, 2/12, 3/13, 4/14, ... 5. 9, 99, 999, ... 6.       Log On


   

Question 893368: Write the general term for the following sequences:
1. 1/2, 1/3, 1/4, 1/5, ...
2. 1, 8, 27, 64, ...
3. 7, 7, 7, 7, ...
4. 1/11, 2/12, 3/13, 4/14, ...
5. 9, 99, 999, ...
6. 1, 1, 2, 3, 5, 8, ...
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Number 2:
Factorize each term.
1....?
8=2%5E3
27=2%5E3
64=8%2A8=2%5E3%2A2%5E3 or 2%5E6=4%2A4%2A4=4%5E3
The rule appears for any n term, general term is n%5E3.

Number 6:
The sequence depends on the first two terms. The n=1 and the n=2 terms are both 1. The sequence follows as any n term is the n-1 term plus the n-2 term. If you want to call any term as T%5Bn%5D, then any n term starting at n=3 will be T%5Bn%5D=T%5Bn-1%5D%2BT%5Bn-2%5D.