Arithmetic progressions · Short practice

Check a final answer, then explain the reasoning on paper. Guest progress stays in this browser; an account saves future checks without overwriting your first result.

Recall

Arithmetic progressions — objective 1

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.

Fresh review variant

Arithmetic progressions — objective 1

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.

Method

Arithmetic progressions — objective 2

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.

Fresh review variant

Arithmetic progressions — objective 2

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.

Apply

Arithmetic progressions — objective 3

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.

Fresh review variant

Arithmetic progressions — objective 3

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.

Check understanding

Arithmetic progressions — objective 4

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.

Fresh review variant

Arithmetic progressions — objective 4

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.

Try written exam-style problems →