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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 nth term is given by n2.
Calculate the number of squares in the 5th term. [2]
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 n is 2n−1 dollars.
Describe one reason why this formula may not correctly predict her savings in week 10. [2]
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 n
1
2
3
4
Total candles
5
8
11
14
a
State the common difference of this sequence. [1]
b
Write the formula for the nth term in the form an+b. [1]
Solutions
4QuestionEvaluating Terms Using nth Term RuleConcept Practice
2 marks~3 minCriterion C
A sequence starts: 3, 5, 7, 9, …
The nth term rule for this sequence is 2n+1.
a
State what the letter n stands for in an nth term rule. [1]
b
Describe how you would use the rule 2n+1 to find the 10th term of this sequence. [1]