Summing Sequences

Description

Further Maths (FP1) Mind Map on Summing Sequences, created by SarahBarrett on 14/01/2014.
SarahBarrett
Mind Map by SarahBarrett, updated more than 1 year ago
SarahBarrett
Created by SarahBarrett over 10 years ago
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Resource summary

Summing Sequences
  1. Sum of the natural numbers
    1. Sum of the squares of the natural numbers
      1. The method of differences
        1. Sum of: f(r) - f(r+1) = f(1) - f(n+1)
          1. Check which terms cancel out by writing out the first and last few.
          2. Sum of the cubes of the natural numbers
            1. 0.25 x n^2 x (n+1)^2
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