ABSTRACT
At the end of this chapter, you should be able to:
• define and determine simple number sequences • calculate the nth term of a series • calculate the nth term of an AP • calculate the sum of n terms of an AP • calculate the nth term of a GP • calculate the sum of n terms of a GP • calculate the sum to infinity of a GP
A set of numbers which are connected by a definite law is called a series or a sequence of numbers. Each of the numbers in the series is called a term of the series. For example, 1,3,5,7, . . . is a series obtained by adding 2 to the previous term, and 2,8,32,128, . . . is a sequence obtained by multiplying the previous term by 4
Problem 1. Determine the next two terms in the series: 3,6,9,12, . . .
