![]() ![]() ![]() Arithmetico-geometric sequences arise in various applications, such as the computation of expected values in probability theory. We just add some value each time on to infinity. Worked example: using recursive formula for arithmetic sequence. xn a + d (n-1) (We use 'n-1' because d is not used in the 1st term). The above example are typical, as every person will consider their investments in different ways. 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. In an Arithmetic Sequence the difference between one term and the next term is a constant. Arithmetic Sequence is a set of numbers in which each new phrase differs from the previous term by a fixed amount. Obviously, it defines a geometric sequence. 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. ![]()
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