-A sequence or progression is a succession of numbers formed according to a rule. It is also a function defined on the set of positive integers. The elements of a sequence constitute a term. The subscript determines the ordinal of the term i.e. a1 = 5, a2 = 10 and so on.
Illustrative Example:
1. Write the next three terms of the sequence: 2, 7, 12, 17,...
We can observe that to obtain the next term 5 is added to the sequence, therefor, the next three terms are: 22, 27, 32.
2. Write the first 3 terms and the 100th term of the sequence defined by the general rule an= 5x-11.
a1= 5(1)-11= -6
a2= 5(2)-11= -6
a3= 5(3)-11= 4
a100= 5(100)-11= 489
3. Determine the rule given the terms of the sequence: 3, 10, 17, 24, ...
The next term is obtained by adding 7 to the preceeding term, so
a1= 7(1)-4
a2= 7(2)-4
a3= 7(3)-4
an= 7n-4
A/N:
Math is easy, isn't it? I hope this helps. ♡
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MATHEMATICS 10
Non-FictionThis book contains topics from Grade 10 Mathematics. This book might not have all the topics of Mathematics in grade 10 but it will surely help you. Use this as a guide to your Math subject but don't always depend here. Date created: May 8, 2019 Da...
