A geometric sequence is a list of numbers where each number is found by multiplying the previous one by a fixed amount. For example, in the sequence 2, 4, 8, 16, each number is multiplied by 2 to get the next number. The numbers in a geometric sequence can either increase or decrease, depending on whether the number you multiply by is greater than 1 or between 0 and 1. Geometric sequences are important in maths because they help us understand patterns and can be used to solve real-world problems, like calculating interest in a bank account.
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