Converging series: check 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
For \(a=11,\ n=14\), consider \(\displaystyle S_n=\sum_{r=a}^{a+n-1}\frac{3}{r(r+1)}\).
Find \(\displaystyle S_{n}\).
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Converging series: review variant 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
For \(a=12,\ n=15\), consider \(\displaystyle S_n=\sum_{r=a}^{a+n-1}\frac{4}{r(r+1)}\).
Find \(\displaystyle S_{n}\).
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Converging series: check 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
For \(a=12,\ n=15\), consider \(\displaystyle S_n=\sum_{r=a}^{a+n-1}\frac{4}{r(r+1)}\).
Find the sum from \(\displaystyle r=a\) to infinity.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Converging series: review variant 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
For \(a=13,\ n=16\), consider \(\displaystyle S_n=\sum_{r=a}^{a+n-1}\frac{2}{r(r+1)}\).
Find the sum from \(\displaystyle r=a\) to infinity.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Converging series: check 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
For \(a=13,\ n=16\), consider \(\displaystyle S_n=\sum_{r=a}^{a+n-1}\frac{2}{r(r+1)}\).
Find the positive remainder after n terms.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Converging series: review variant 3
Difficulty: ★★☆Info
Maths4U Original · Short practice
For \(a=14,\ n=17\), consider \(\displaystyle S_n=\sum_{r=a}^{a+n-1}\frac{3}{r(r+1)}\).
Find the positive remainder after n terms.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Converging series: check 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
For \(a=14,\ n=17\), consider \(\displaystyle S_n=\sum_{r=a}^{a+n-1}\frac{3}{r(r+1)}\).
Find the first term of the series.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
Converging series: review variant 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
For \(a=15,\ n=18\), consider \(\displaystyle S_n=\sum_{r=a}^{a+n-1}\frac{4}{r(r+1)}\).
Find the first term of the series.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.