10.1 Term-to-term and position-to-term rules — Practise

1. Write the next two terms: $7,11,15,19,\ldots$.

Answer: $23,27$.

2. Find the nth term of $5,9,13,17,\ldots$.

Answer: $4n+1$.

3. The nth term is $6n-2$. Work out the 15th term.

Answer: $88$.

4. Find the missing term: $3,8,\square,18,23$.

Answer: $13$.

5. A pattern has 4 tiles at position 1 and adds 6 tiles each time. W

Answer: $6n-2$.

6. Continue $20,15,10,5,\ldots$ by two terms.

Answer: $0,-5$.

7. Which rule gives more at position 10: $4n+3$ or $5n-2$? Say which

Answer: $5n-2$ gives $48$; $4n+3$ gives $43$.

8. H Write a position-to-term rule for a sequence with first ter

Answer: $9n-2$.