Connecting arithmetic and geometric 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 \(\displaystyle u_{2}=20\) 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 \(\displaystyle u_{2}=22\) 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 \(\displaystyle u_{2}=22\) 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 \(\displaystyle u_{2}=24\) 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

Geometric progressions and infinite sums — objective 3

Maths4U Original · Short practice

A geometric progression begins \(5\), \(\displaystyle \frac{5}{2}\). Let \(\displaystyle n=6\).

Find the sum of the first n terms.

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

Fresh review variant

Geometric progressions and infinite sums — objective 3

Maths4U Original · Short practice

A geometric progression begins \(6\), \(2\). Let \(\displaystyle n=7\).

Find the sum of the first n terms.

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

Check understanding

Geometric progressions and infinite sums — objective 4

Maths4U Original · Short practice

A geometric progression begins \(6\), \(2\). Let \(\displaystyle n=7\).

Find the infinite sum.

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

Fresh review variant

Geometric progressions and infinite sums — objective 4

Maths4U Original · Short practice

A geometric progression begins \(2\), \(\displaystyle \frac{1}{2}\). Let \(\displaystyle n=4\).

Find the infinite sum.

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

Try written exam-style problems →