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

Try each item before opening its hints. Reveal the full working when you want to check your reasoning.

Warm-up: remember

1. Work out $6+4$.
2. Find the 5th term of $2n$.
3. Write the next term: $10,7,4,\ldots$.

Practise with help

1. Continue $2,6,10,14,\ldots$ by two terms.

2. The rule is $5n+1$. Find the 4th term.

3. A sequence begins $8,13,18,23,\ldots$. Find the nth term.