Series and binomial expansion: review: check 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
Consider \(\left(3 x + 3\right)^{5}\). Work without a calculator.
Find the coefficient of \(\displaystyle x^0\).
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Series and binomial expansion: review: review variant 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
Consider \(\left(4 x + 1\right)^{6}\). Work without a calculator.
Find the coefficient of \(\displaystyle x^0\).
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Series and binomial expansion: review: check 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
Consider \(\left(4 x + 1\right)^{6}\). Work without a calculator.
Find the coefficient of \(\displaystyle x^1\).
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Series and binomial expansion: review: review variant 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
Consider \(\left(5 x + 2\right)^{7}\). Work without a calculator.
Find the coefficient of \(\displaystyle x^1\).
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Series and binomial expansion: review: check 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
An arithmetic progression has \(\displaystyle u_{2}=26\) 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.
Series and binomial expansion: review: review variant 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
An arithmetic progression has \(\displaystyle u_{2}=23\) and \(\displaystyle u_{5}=26\). Let \(\displaystyle n=6\).
Find \(\displaystyle u_{n}\).
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.
Series and binomial expansion: review: check 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.
Series and binomial expansion: review: review variant 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
A geometric progression begins \(3\), \(\displaystyle \frac{3}{2}\). Let \(\displaystyle n=5\).
Find the infinite sum.
Enter one exact number or fraction. These checks support non-calculator practice. Give full reasoning separately for written problems.