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Practice — Summation of series • The summation formulae Σr, Σr^2, Σr^3

The summation formulae Σr, Σr^2, Σr^3: check 1
Difficulty: ★★☆
3061 • M4U-EXT-QP-9231-FP1-T403-O1

Maths4U Original · Short practice

Let \(n=12,\ S=\sum_{r=1}^n(3r^2+10r+1)\). 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.

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The summation formulae Σr, Σr^2, Σr^3: review variant 1
Difficulty: ★★☆
3062 • M4U-EXT-QP-9231-FP1-T403-O1-V1

Maths4U Original · Short practice

Let \(n=13,\ S=\sum_{r=1}^n(4r^2+11r+1)\). 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.

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The summation formulae Σr, Σr^2, Σr^3: check 2
Difficulty: ★★☆
3063 • M4U-EXT-QP-9231-FP1-T403-O2

Maths4U Original · Short practice

Let \(n=13,\ S=\sum_{r=1}^n(4r^2+11r+1)\). 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.

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The summation formulae Σr, Σr^2, Σr^3: review variant 2
Difficulty: ★★☆
3064 • M4U-EXT-QP-9231-FP1-T403-O2-V1

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 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.

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The summation formulae Σr, Σr^2, Σr^3: check 3
Difficulty: ★★☆
3065 • M4U-EXT-QP-9231-FP1-T403-O3

Maths4U Original · Short practice

Let \(n=14,\ S=\sum_{r=1}^n(5r^2+12r+1)\). Use the standard summation identities.

Find S.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

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The summation formulae Σr, Σr^2, Σr^3: review variant 3
Difficulty: ★★☆
3066 • M4U-EXT-QP-9231-FP1-T403-O3-V1

Maths4U Original · Short practice

Let \(n=15,\ S=\sum_{r=1}^n(2r^2+13r+1)\). Use the standard summation identities.

Find S.

Enter one number or fraction. Use at least six decimal places when needed; a distribution calculator may be used for probabilities.

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The summation formulae Σr, Σr^2, Σr^3: check 4
Difficulty: ★★☆
3067 • M4U-EXT-QP-9231-FP1-T403-O4

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 cubed 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.

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The summation formulae Σr, Σr^2, Σr^3: review variant 4
Difficulty: ★★☆
3068 • M4U-EXT-QP-9231-FP1-T403-O4-V1

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 cubed 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.

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