what are the differences between an arithmetic sequence and a geometric sequence
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A sequence is a set of numbers, called terms, arranged in some particular order. An arithmetic sequence is a sequence with the difference between two consecutive terms constant. The difference is called the common difference. A geometric sequence is a sequence with the ratio between two consecutive terms constant.
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Arithmetic Sequence
1) An arithmetic sequence is a sequence of numbers is calculated by subtracting or adding fixed term from the previous term.
2) The common difference that is represented by "d".
3) The variation is in a Linear form.
4) The numbers may either progress in a positive or negative manner depending upon the common difference.
Geometric Sequence
1) An geometric sequence is a sequence of numbers where each new number is calculated by multiplying the previous number by fixed and non zero number.
2) The common ratio is represented by "r".
3) The variation is in an exponential form.
4) There is no such an rule as the numbers may progress alternatively in a positive and negative manner in the same sequence.
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