![]() ![]() If we represented an arithmetic sequence on a graph it would form a straight line as it goes up (or down) by the same amount each time. In a geometric sequence, there is a common ratio, r, between consecutive terms in the sequence A geometric sequence can be increasing (r > 1) or decreasing (0. A geometric series would be 90 plus negative 30, plus 10, plus negative 10/3. Compute a possible formula and continuation for a sequence. You need to contact the server owner or hosting provider for further information. Whether it be arithmetic, algebra, calculus, differential equations or anything in between. So for example, this is a geometric sequence. The firewall on this server is blocking your connection. A series, the most conventional use of the word series, means a sum of a sequence. Here are some examples of arithmetic sequences:Īrithmetic sequences are also known as linear sequences. And you might even see a geometric series. The term-to-term rule tells us how we get from one term to the next. ![]() If we add or subtract by the same number each time to make the sequence, it is an arithmetic sequence. 9) Go back and circle the problem numbers in the above sequences (1-8) which represent Arithmetic sequences. Difference between Arithmetic and Geometric Sequence. A geometric sequence is defined by a constant ratio between each term (multiplier). The difference between consecutive terms is an arithmetic sequence is always the same. It is clear that each term differs by +2. An arithmetic sequence is an ordered set of numbers that have a common difference between each consecutive term.įor example in the arithmetic sequence 3, 9, 15, 21, 27, the common difference is 6.Īn arithmetic sequence can be known as an arithmetic progression. ![]()
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