Presentation on theme: "Arithmetic Sequences and Series. A sequence is arithmetic if each term – the previous term = d where d is a constant e.g. For the sequence d = 2 nd term."— Presentation transcript:
A sequence is arithmetic if each term – the previous term = d where d is a constant e.g. For the sequence d = 2 nd term – 1 st term = 3 rd term – 2 nd term... = 2 Arithmetic Sequence The 1 st term of an arithmetic sequence is given the letter a.
Arithmetic Sequence An arithmetic sequence is of the form Notice that the 4 th term has 3 d added so, for example, the 20 th term will be The n th term of an Arithmetic Sequence is An arithmetic sequence is sometimes called an Arithmetic Progression (A.P.)
SUMMARY The sum of n terms of an arithmetic series is given by An arithmetic sequence is of the form The n th term is or
Example The common difference of an arithmetic series is - 3 and the sum of the first 30 terms is 255. Find the 1 st term. Solution: