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Practice — Series • Arithmetic progressions

Arithmetic progressions: check 1
Difficulty: ★★☆
4581
Info
M4U-EXT-QP-0606-ARITHMETIC-O1

Maths4U Original · Short practice

An arithmetic progression has \(\displaystyle u_{2}=23\) and \(\displaystyle u_{5}=26\). Let \(\displaystyle n=6\).

Find the first term a.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

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Arithmetic progressions: review variant 1
Difficulty: ★★☆
4582
Info
M4U-EXT-QP-0606-ARITHMETIC-O1-V1

Maths4U Original · Short practice

An arithmetic progression has \(\displaystyle u_{2}=25\) and \(\displaystyle u_{5}=31\). Let \(\displaystyle n=7\).

Find the first term a.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

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Arithmetic progressions: check 2
Difficulty: ★★☆
4583
Info
M4U-EXT-QP-0606-ARITHMETIC-O2

Maths4U Original · Short practice

An arithmetic progression has \(\displaystyle u_{2}=25\) and \(\displaystyle u_{5}=31\). Let \(\displaystyle n=7\).

Find the common difference d.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

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Arithmetic progressions: review variant 2
Difficulty: ★★☆
4584
Info
M4U-EXT-QP-0606-ARITHMETIC-O2-V1

Maths4U Original · Short practice

An arithmetic progression has \(\displaystyle u_{2}=27\) and \(\displaystyle u_{5}=36\). Let \(\displaystyle n=8\).

Find the common difference d.

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

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Arithmetic progressions: check 3
Difficulty: ★★☆
4585
Info
M4U-EXT-QP-0606-ARITHMETIC-O3

Maths4U Original · Short practice

An arithmetic progression has \(\displaystyle u_{2}=27\) and \(\displaystyle u_{5}=36\). Let \(\displaystyle n=8\).

Find \(\displaystyle u_{n}\).

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

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Arithmetic progressions: review variant 3
Difficulty: ★★☆
4586
Info
M4U-EXT-QP-0606-ARITHMETIC-O3-V1

Maths4U Original · Short practice

An arithmetic progression has \(\displaystyle u_{2}=29\) and \(\displaystyle u_{5}=41\). Let \(\displaystyle n=9\).

Find \(\displaystyle u_{n}\).

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

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Arithmetic progressions: check 4
Difficulty: ★★☆
4587
Info
M4U-EXT-QP-0606-ARITHMETIC-O4

Maths4U Original · Short practice

An arithmetic progression has \(\displaystyle u_{2}=29\) and \(\displaystyle u_{5}=41\). Let \(\displaystyle n=9\).

Find \(\displaystyle S_{n}\).

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

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Arithmetic progressions: review variant 4
Difficulty: ★★☆
4588
Info
M4U-EXT-QP-0606-ARITHMETIC-O4-V1

Maths4U Original · Short practice

An arithmetic progression has \(\displaystyle u_{2}=31\) and \(\displaystyle u_{5}=46\). Let \(\displaystyle n=6\).

Find \(\displaystyle S_{n}\).

Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.

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