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In this worksheet, you must find the first five terms of a sequence from a given formula.
Example
We can find the terms of a sequence from a formula which relates each term to its position in the sequence
The nth term of a sequence is given by the formula 3n+2
| Substitute | n=1 | first term is | 3×1+2 | = | 5 | |
| n=2 | second term is | 3×2+2 | = | 8 | ||
| n=3 | third term is | 3×3+2 | = | 11 | ||
| n=4 | fourth term is | 3×4+2 | = | 14 | ||
| n=5 | fifth term is | 3×5+2 | = | 17 | ||
The first five terms are 5 8 11 14 17
NB The difference between each term is 3. In the formula you multiply n by 3 to get 3n
Answer
| n=1 | 5 |
| n=2 | 8 |
| n=3 | 11 |
| n=4 | 14 |
| n=5 | 17 |
