[tex]a_n = a_1 (r)^n^-^1[/tex] is the formula of a geometric sequence. Geometric sequence, also known as geometric progression is a sequence where each term is multiplied by a constant value (the common ratio) to get the next term. It is similar to arithmetic sequence wherein there is a pattern but in this case, we get it by multiplying rather than dividing.Examples of geometric sequence:2,4,6,8,10... (common ratio of 2)7, 21, 63, 189, 567 (common ratio of 3)15, 7.5, 3.75, 1.875...(common ratio of 0.5)