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Sequences
Write the recursive form or explicit form of an arith.or geom. sequence.
| Question | Answer |
|---|---|
| 3, 5, 7, 9, ... (recursive) | f(n)=f(n-1) +2. f(1)=3 |
| 3, 6, 12, 24, ... (recursive) | f(n)=f(n-1) *2, f(1)= 3 |
| Geometric Sequence | A sequence formed by multiplying by the same number . |
| Arithmetic Sequence | A sequence formed by adding the same number repeatedly. |
| 5, 10, 20, 40, ... (recursive) | f(n)=f(n-1) *2, f(1)=5 |
| Give the next two terms of the arithmetic sequence 2, 11, 20, 29, ____, ____ | 38, 47 |
| Give the next two terms of the geometric sequence 5, 15, , ____, ____ | 45, 135 |
| Give the next two terms of the arithmetic sequence 5, 15, ____, _____ | 25, 35 |
| 3, 6, 12, 24, ... (explicit) | f(n) = 3(2)^(n-1) |
| 3, 5, 7, 9, ... (explicit) | f(n) = 2n+1 |