Numeracy, Maths and Statistics - Academic Skills Kit

Arithmetic and Geometric Sequences (Economics)ContentsToggle Main Menu 1 Sequences 2 The Summation Operator 3 Rules of the Summation Operator3.1 Constant Rule3.2 Constant Multiple Rule3.3 The Sum of Sequences Rule3.4 Worked Examples 4 Arithmetic sequence4.1 Worked Examples 5 Geometric Sequence 6 A Special Case of the Geometric Progression6.1 Worked Examples 7 Arithmetic or Geometric?7.1 Arithmetic?7.2 Geometric? 8 Simple and Compound Interest8.1 Simple Interest8.2 Compound Interest8.3 Worked Examples 9 Video Examples 10 Test Yourself 11 External ResourcesSequencesA sequence is a list of numbers which are written in a particular order. For example, $1, 3, 5, 7, 9$ is a sequence of odd numbers.A finite sequence is a sequence which ends. The sequence has a known final value. For example $1, 3, 5, \dotso, 19$. is a finite sequence whose end value is $19$.An infinite sequence is a sequence in which the terms go on forever, for example $2, 5, 8, \dotso$.Note: The 'three dots' notation stands...