Summing Series and the Method of Differences (AQA A-Level Further Maths): Flashcards

Summation

$\frac{n(n+1)}{2}$

$\frac{n(n+1)(2n+1)}{6}$

$\frac{n^2(n+1)^2}{4}$

$\left(\sum r\right)^2$ (square of sum of integers)

$u_r = f(r+1) - f(r)$

$\sum_{r=1}^{n} u_r = f(n+1) - f(1)$

Telescoping series method

Write differences vertically

No, must be memorised