Convergent infinite geometric series · 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

Geometric progressions and infinite sums — objective 1

Maths4U Original · Short practice

A geometric progression begins \(2\), \(1\). Let \(\displaystyle n=7\).

Find the common ratio.

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 1

Maths4U Original · Short practice

A geometric progression begins \(3\), \(1\). Let \(\displaystyle n=4\).

Find the common ratio.

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

Method

Geometric progressions and infinite sums — objective 2

Maths4U Original · Short practice

A geometric progression begins \(3\), \(1\). Let \(\displaystyle n=4\).

Find the fourth term.

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 2

Maths4U Original · Short practice

A geometric progression begins \(4\), \(1\). Let \(\displaystyle n=5\).

Find the fourth term.

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 \(4\), \(1\). Let \(\displaystyle n=5\).

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 \(5\), \(\displaystyle \frac{5}{2}\). 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.

Check understanding

Geometric progressions and infinite sums — objective 4

Maths4U Original · Short practice

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

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 \(6\), \(2\). 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.

Try written exam-style problems →