Concept explainers
The difference between a sequence and series. Include in your discussion how to distinguish arithmetic, geometric, and Fibonacci-type sequence, and give the formulas for their general terms.
Explanation of Solution
The distinguishing a series from a sequence,
A sequences represent the list of numbers having a first term, a second term and so on and it is denoted as
Arithmetic: A sequence with a common difference,
Fibonacci: A sequence with first two term given, and subsequence terms the sum of the two previous terms. and its denoted as
A series represent sum of term of a sequence
Arithmetic series: Sum of the term of an arithmetic sequence:
Geometric series: Sum of the term of an geometric sequence:
Fibonacci series:
A sequence with first two terms given, and subsequence terms the sum of the two previous terms.
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Chapter 11 Solutions
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