Arithmetic and Geometric Progressions Equations

I was struggling to remember these equations for arithmetic and geometric progressions, so decided to make a clear and easy-on-the-eye resource to put up in my bedroom as an ongoing passive revision strategy. Here is a copy in case it helps you. Although bear in mind that these are given in the formula booklet.

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  • Created by: Jackarias
  • Created on: 17-04-10 15:38
Preview of Arithmetic and Geometric Progressions Equations

First 92 words of the document:

ARITHMETIC PROGRESSIONS EQUATIONS AND EXAMPLE
th / Last term
+ - 1
Total of first terms of series
( + )
= ×
2
...and if last term is unknown
= [ + - ]
Sum of first natural numbers
= ( + 1)
2
:: EXAMPLE USING SIGMA NOTATION ::
20 20 6
(4 - 1) = (4 - 1) - (4 - 1)
=7 =1 =1
20(3 + 79) 6(3 + 23)
= -
2 2
= 820 - 78 =
GEOMETRIC PROGRESSIONS EQUATIONS
Any term in a geometric progression
= -1
Total of first terms of series
(1 - )
=
1 -
Sum to infinity (convergent series)
=
1 -

Comments

daviesg

A nice summary of formulae for arithmetic and geometric progressions.  Clealy printed and well presented.

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