Question Determine the explicit formula for the n^th term of the sequence written below. 25, 125/8, 625/27, 3125/64, 125, 78125/216, ... Provide your answer below: a_n =
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The sequence is: 125, 625, 3125, 78125, 25, 125, 27, 64, 216 We can notice that the first four terms are powers of 5: 125 = 5^3, 625 = 5^4, 3125 = 5^5, 78125 = 5^7 The next two terms are also powers of 5: 25 = 5^2, 125 = 5^3 The last three terms are powers Show more…
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Find a formula for the $n$ th term of the sequence. $$-\frac{1}{25}, \frac{8}{125}, \frac{27}{625}, \frac{64}{3125}, \frac{125}{15,625}, \ldots \quad \begin{array}{l} \text { Cubes of positive integers } \\ \text { divided by powers of } 5 \end{array}$$
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