Suppose in a sequencea1, a2, a3, …., anare the terms & ratio between each term is ‘r’, then the formula is given byan=(an – 1) × r Geometric Sequence: A sequence in which every successive term has a constant ratio is called Geometric Sequence.Į.g. Suppose in a sequence a1, a2, a3, …., an are the terms & difference between each term is ‘d’, then the formula is given by an = a1 + (n−1)d What are the Different Types of Sequences?Īrithmetic sequence: A sequence in which every successive term differs from the previous one is constant, is called Arithmetic Sequence.Į.g. Used to model exponential growth or decay.The sequence is a collection of objects in which repetitions are allowed and order is important. 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.
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