-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
No FicciónThis 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...
