Arithmetico-geometric sequences arise in various applications, such as the computation of expected values in probability theory. Solved word problems, tests, exercises, and preparation for exams. Put plainly, the nth term of an arithmetico-geometric sequence is the product of the nth term of an arithmetic sequenceĪnd the nth term of a geometric one. Quadratic equation - arithmetic progression - word problems. In other words, a linear sequence results from taking the first differences of a quadratic sequence. This sequence has a constant difference between consecutive terms. We need at least three numbers in the list to work out if the numbers form a pattern. A list of numbers in order is called a number pattern or number sequence. It is important to note that the first differences of a quadratic sequence form a sequence. Arithmetic sequences Quadratic sequences Geometric sequences Arithmetic and geometric series 3.1 Number patterns. In mathematics, arithmetico-geometric sequence is the result of term-by-term multiplication of a geometric progression with the corresponding terms of an arithmetic progression. Any sequence that has a common second difference is a quadratic sequence.
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