Used to model exponential growth or decay. Used to model linear relationships or changes that occur at a constant rate. The ratio of any two consecutive terms is constant. The difference between any two consecutive terms is constant. The key differences between Arithmetic Sequence and Geometric Sequence are as follows:Ī sequence in which each term is found by adding a fixed number to the previous term.Ī sequence in which each term is found by multiplying the previous term by a fixed number. An arithmetic sequence can be extended to infinity by adding a common difference to the last term.ĭifference Between Arithmetic Sequence and Geometric Sequence.We can observe a symmetry about the mean in the arithmetic sequence.For any three consecutive terms of an Arithmetic Sequence sum of the first and last term is always twice the middle term.Then the resulting sequence is also an Arithmetic Sequence. If each term of an Arithmetic Sequence is multiplied or divided (not by 0) by a constant number.If a constant is added or subtracted to each term of an Arithmetic Sequence then the resulting sequence is also an Arithmetic Sequence.There are some properties of Arithmetic Sequence, some of which are as follows: Thus, the apple in the tree at the end of six-year is 60 apples Properties of Arithmetic Sequence Total apple at the end of five years in the tree. The n th term of an Arithmetic Sequence can be defined recursively as the next term can always be obtained by adding a common difference to the preceding term, the following derivation can be used to illustrate the same thing.Īs we know, n th term of the Arithmetic Sequence is given by Read more on How to Find the Nth term of Arithmetic Sequence? Recursive Formula for Arithmetic Sequence In general, this is the standard explicit formula of an arithmetic sequence whose first term is, A, end, and the common difference is D is given as follows: Thus, the n th term of the given example can be generalized as 6 + (n-1)×d. Thus, the n th term can be found easily by adding one less than n multiple of 10 to the first term of the sequence i.e., 6. 6Īs we can see each term of this example can be represented in a similar form. Let’s consider an example of Arithmetic Sequence 6, 16, 26, 36, 46, 56, 66.
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