End-of-chapter review exercise 3: check 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
Let \(n=14,\ S=\sum_{r=1}^n(5r^2+12r+1)\). Use the standard summation identities.
Find the sum of r from 1 to n.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
End-of-chapter review exercise 3: review variant 1
Difficulty: ★★☆Info
Maths4U Original · Short practice
Let \(n=15,\ S=\sum_{r=1}^n(2r^2+13r+1)\). Use the standard summation identities.
Find the sum of r from 1 to n.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
End-of-chapter review exercise 3: check 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
Let \(n=15,\ S=\sum_{r=1}^n(2r^2+13r+1)\). Use the standard summation identities.
Find the sum of r squared from 1 to n.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
End-of-chapter review exercise 3: review variant 2
Difficulty: ★★☆Info
Maths4U Original · Short practice
Let \(n=16,\ S=\sum_{r=1}^n(3r^2+14r+1)\). Use the standard summation identities.
Find the sum of r squared from 1 to n.
Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.
End-of-chapter review exercise 3: check 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.
End-of-chapter review exercise 3: review variant 3
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 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.
End-of-chapter review exercise 3: check 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.
End-of-chapter review exercise 3: review variant 4
Difficulty: ★★☆Info
Maths4U Original · Short practice
For \(a=16,\ n=19\), consider \(\displaystyle S_n=\sum_{r=a}^{a+n-1}\frac{2}{r(r+1)}\).
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.