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答The term "geometric progression" refers to a sequence of numbers in which each term is found by multiplying the previous term by a constant factor. This constant factor is called the common ratio.For example, in the sequence 2, 4, 8, 16, 32, the common ratio is 2. Each term is found by multiplying the previous term by 2.A geometric progression can also be defined by its first term (a) and its common ratio (r). The nth term of the geometric progression can be found using the formula:an = a * r^(n-1)where an is the nth term, a is the first term, r is the common ratio, and n is the position of the term in the sequence.For example, in the sequence 2, 4, 8, 16, 32, the first term (a) is 2 and the common ratio (r) is 2. If we want to find the 5th term (n = 5), we can use the formula:a5 = 2 * 2^(5-1) = 2 * 2^4 = 2 * 16 = 32So, the 5th term of the sequence is 32.
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