SEQUENCE AND SERIES: ARITHMETIC PROGRESSION (AP)
CONTENT
- Meaning and types of sequence.
- Example of an A. P.
- Calculation of: (i) first term (ii) common difference (iii) nth term (iv) Arithmetic mean (v) sum of an A. P.
- Practical problems involving real life situations.
Meaning and Types of Sequence
SEQUENCES:
A sequence is an ordered list of numbers whose subsequent values are formed based on a definite rule. The numbers in the sequence are called terms and these terms are normally separated from each other by commas.
Examples:
2, 4, 6, 8, 10,……
Rule: Addition of 2 for subsequent terms.
70, 66, 62, 58, 54,……
Rule: Subtraction of 4 for subsequent terms.
3, –6, 12, –24,……
Rule: Multiply each term by –2.
There are many types of sequences. We shall be considering the Arithmetic Progression and Geometric progression.
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