Pure 1 course · All short practice · Notes & examples

Maths4U Original · 9709 Pure 1

Arithmetic progressions: terms, sums and integer thresholds

Check a short answer, use a hint, then study the reasoning. These checks assess the final answer; use the exam-style problems to practise written explanations.

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Recall · M4U-P1-QP-SERIES-ARITHMETIC-01

nth term

Maths4U Original · Short practice

An AP has first term 7 and common difference -3. Find its eighth term.

Enter one number or fraction. Round decimals to at least six decimal places when needed.

Method · M4U-P1-QP-SERIES-ARITHMETIC-02

finite sum

Maths4U Original · Short practice

Find the sum of the first 12 terms of the AP \(4,9,14,\ldots\).

Enter one number or fraction. Round decimals to at least six decimal places when needed.

Apply · M4U-P1-QP-SERIES-ARITHMETIC-03

recover parameters

Maths4U Original · Short practice

The third and seventh terms of an AP are 11 and 27. Find its common difference.

Enter one number or fraction. Round decimals to at least six decimal places when needed.

Check understanding · M4U-P1-QP-SERIES-ARITHMETIC-04

AP condition

Maths4U Original · Short practice

The numbers \(k,11,19\) are consecutive terms of an AP. Find \(k\).

Choose one answer.

Fresh review variant · M4U-P1-QP-VAR-SERIES-ARITHMETIC-01

nth term

Maths4U Original · Short practice

An AP has first term 5 and difference 4. Find its seventh term.

Enter one number or fraction. Round decimals to at least six decimal places when needed.

Fresh review variant · M4U-P1-QP-VAR-SERIES-ARITHMETIC-02

finite sum

Maths4U Original · Short practice

Find the sum of the first 10 terms of \(2,6,10,\ldots\).

Enter one number or fraction. Round decimals to at least six decimal places when needed.

Fresh review variant · M4U-P1-QP-VAR-SERIES-ARITHMETIC-03

recover parameters

Maths4U Original · Short practice

An AP has second term 7 and sixth term 19. Find its common difference.

Enter one number or fraction. Round decimals to at least six decimal places when needed.

Fresh review variant · M4U-P1-QP-VAR-SERIES-ARITHMETIC-04

AP condition

Maths4U Original · Short practice

The numbers \(k,14,23\) are consecutive AP terms. Find k.

Enter one number or fraction. Round decimals to at least six decimal places when needed.