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482424
Summing Sequences
Description
Further Maths (FP1) Mind Map on Summing Sequences, created by SarahBarrett on 14/01/2014.
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fp1
further maths
further maths
fp1
Mind Map by
SarahBarrett
, updated more than 1 year ago
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Created by
SarahBarrett
over 10 years ago
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Resource summary
Summing Sequences
Sum of the natural numbers
Sum of the squares of the natural numbers
The method of differences
Sum of: f(r) - f(r+1) = f(1) - f(n+1)
Check which terms cancel out by writing out the first and last few.
Sum of the cubes of the natural numbers
0.25 x n^2 x (n+1)^2
Media attachments
Sum_of_the_natural_numbers (image/png)
Sum_of_the_squares_of_the_natural_numbers (image/png)
Sum_of_the_cubes_of_the_natural_numbers (image/png)
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