General Rules and nth Terms
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General Rules and nth Terms — Free MYP1 Mathematics Practice Questions

1QuestionEvaluating Terms Using nth Term RuleConcept Practice
2 marks~3 minCriterion A
A pattern of squares grows as shown in the diagram.

Term 1: 1 square — Term 2: 4 squares — Term 3: 9 squares

The nnth term is given by n2n^2.

Calculate the number of squares in the 5th term. [2]
Question diagram

Solutions

2QuestionUnderstanding nth Term ConceptAssessment Practice
2 marks~3 minCriterion D
A student saves money each week. In week 1 she saves 1 dollar, in week 2 she saves 3 dollars, in week 3 she saves 5 dollars, and in week 4 she saves 7 dollars. The formula for week nn is 2n−12n - 1 dollars.

Describe one reason why this formula may not correctly predict her savings in week 10. [2]
Question diagram

Solutions

3QuestionFinding nth Term Formula for Arithmetic SequencesConcept Practice
2 marks~3 minCriterion B
A shop sells candles in boxes. The table shows the total number of candles for different numbers of boxes.

Number of boxes nn1234
Total candles581114
a
State the common difference of this sequence. [1]
b
Write the formula for the nnth term in the form an+ban + b. [1]

Solutions

4QuestionEvaluating Terms Using nth Term RuleConcept Practice
2 marks~3 minCriterion C
A sequence starts: 3, 5, 7, 9, …

The nnth term rule for this sequence is 2n+12n + 1.
a
State what the letter nn stands for in an nnth term rule. [1]
b
Describe how you would use the rule 2n+12n + 1 to find the 10th term of this sequence. [1]

Solutions

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