Cross-topic review exercise 1: check 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(u_1=12,\ u_{n+1}=4u_n+13\) for \(\displaystyle n\ge 1\).
Find \(\displaystyle u_{6}\).
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Cross-topic review exercise 1: review variant 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(u_1=13,\ u_{n+1}=2u_n+14\) for \(\displaystyle n\ge 1\).
Find \(\displaystyle u_{4}\).
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Cross-topic review exercise 1: check 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(u_1=13,\ u_{n+1}=2u_n+14\) for \(\displaystyle n\ge 1\).
Find the fixed point L.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Cross-topic review exercise 1: review variant 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
\(u_1=14,\ u_{n+1}=3u_n+15\) for \(\displaystyle n\ge 1\).
Find the fixed point L.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Cross-topic review exercise 1: check 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
Define \(S_n=\sum_{r=1}^n(15r+14)\) for positive integers n.
Find the base-case value \(\displaystyle S_{1}\).
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Cross-topic review exercise 1: review variant 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
Define \(S_n=\sum_{r=1}^n(16r+15)\) for positive integers n.
Find the base-case value \(\displaystyle S_{1}\).
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Cross-topic review exercise 1: check 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
Work with the integer powers \(8^n-4^n\).
Find the integer remainder term \(\displaystyle 4^5\) in the successor quotient relation.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Cross-topic review exercise 1: review variant 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
Work with the integer powers \(7^n-5^n\).
Find the integer remainder term \(\displaystyle 5^3\) in the successor quotient relation.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.