Connecting arithmetic and geometric progressions: check 1
Difficulty: ★★☆Info
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.
Connecting arithmetic and geometric progressions: review variant 1
Difficulty: ★★☆Info
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.
Connecting arithmetic and geometric progressions: check 2
Difficulty: ★★☆Info
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.
Connecting arithmetic and geometric progressions: review variant 2
Difficulty: ★★☆Info
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.
Connecting arithmetic and geometric progressions: check 3
Difficulty: ★★☆Info
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.
Connecting arithmetic and geometric progressions: review variant 3
Difficulty: ★★☆Info
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.
Connecting arithmetic and geometric progressions: check 4
Difficulty: ★★☆Info
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.
Connecting arithmetic and geometric progressions: review variant 4
Difficulty: ★★☆Info
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.