Term to term rules

The Maths Habit

How many times can you fold
a piece of paper in half?

About 7

Sequence
A list of numbers that follows a rule.
Term
One of the numbers in a sequence.
Term to term rule
How to get from one term to the next.

4+59+514+519+524

Find the rule and the next two terms

25221916
9+514+519+524+529+534

Rule: add 5

41−833−825−817−89−81

Rule: subtract 8

9+514+519+524+529+534

Rule: add 5

1×44×416×464×4256×41024

Rule: multiply by 4

9+514+519+524+529+534

Rule: add 5

6.5+0.57+0.57.5+0.58+0.58.5+0.59

Rule: add 0.5

9+514+519+524+529+534

Rule: add 5

2×36×318×354×3162×3486

Rule: multiply by 3

9+514+519+524+529+534

Rule: add 5

800÷2400÷2200÷2100÷250÷225

Rule: divide by 2

Term to term rules worksheet, page 1

Term to term rules worksheet, page 2

Answer sheet

  1. The rule is “double, then add 1”. The first term is 3. Write the first five terms.

    3, 7, 15, 31, 63

  2. A sequence with an adding rule starts 5, ?, ?, 26. Find the two missing terms.

    12 and 19

The layers of paper go 2, 4, 8, 16. What is the rule? How many layers after 7 folds?

Multiply by 2: 128 layers

  1. Write the term to term rule for 7, 13, 19, 25, …
    Write the next two terms.

    add 6: 31, 37

  2. Write the term to term rule for 3, 6, 12, 24, …
    Write the next two terms.

    multiply by 2: 48, 96

  3. The rule is “multiply by 3, then subtract 1”. The first term is 2. Write the next three terms.

    5, 14, 41
Exit tickets to print