AI generatedAlgebraKS3 / GCSE

Deciding whether a number is in a sequence

Deciding whether a number is in a sequence.

  • Check whether the change is additive, multiplicative or based on the previous two terms.
  • A term-to-term rule moves between terms. A position-to-term rule uses the term number .
  • Check a proposed rule against at least the first two given terms.

Example 1

Does 17 occur in the sequence with this th term?

Set the th-term rule equal to the target.Divide both sides by the coefficient of .A position must be a positive whole number.
Yes. It is term 8.

Example 2

Does 25 occur in the sequence with this th term?

Set the th-term rule equal to the target.Divide both sides by the coefficient of .A position must be a positive whole number.
No. The resulting position is not a positive whole number.

Your turn

Question 1

Does 31 occur in the sequence with this th term?

Check answer
Set the th-term rule equal to the target.Divide both sides by the coefficient of .A position must be a positive whole number.
Yes. It is term 8.
Question 2

Does 39 occur in the sequence with this th term?

Check answer
Set the th-term rule equal to the target.Divide both sides by the coefficient of .A position must be a positive whole number.
No. The resulting position is not a positive whole number.
Question 3

Does 45 occur in the sequence with this th term?

Check answer
Set the th-term rule equal to the target.Divide both sides by the coefficient of .A position must be a positive whole number.
Yes. It is term 8.
Question 4

Does 53 occur in the sequence with this th term?

Check answer
Set the th-term rule equal to the target.Divide both sides by the coefficient of .A position must be a positive whole number.
No. The resulting position is not a positive whole number.
Question 5

Does 59 occur in the sequence with this th term?

Check answer
Set the th-term rule equal to the target.Divide both sides by the coefficient of .A position must be a positive whole number.
Yes. It is term 8.
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