Sequence and Series
SEQUENCE: Mathematically, a sequence is a list of objects or events which have been ordered in a sequential fashion, such that each member either comes before or after every member. There are Arithmetic and Geometric types of sequences. Some examples of sequences are:
a. 1, 3,
5, 7, 9………. that is, each term is 2 more than the proceeding term.
b. 1, 2,
4, 8, 16, 25……. that is, each term is double the proceeding term.
c. 1, 4,
9, 16, 25…… that is, each term is a set of square numbers.
d. -12,
-6, -3, 1.5…… that is, each term is half the proceeding term.
e. 1, 3,
6, 10, 15……. That is, terms between consecutive series are 2, 3, 4, 5……
Exercise
Say what pattern for
each of the following sequences and give the next 3 terms
1. 20,
17, 14…….
2. 1, 8,
27, 64………
3. 8,
0.8, 0.08, 0.008……
4. 2, 6,
12, 20………
SERIES: A series is a sum of a sequence of terms. That is, a series is a list of numbers with
addition operations between them.
S1 = A1
S2 = A1 + A2
S3 = A1 + A2 + A3
where S1,
S2 and S3 are sum of sequence
Then:
