Answer :
Final answer:
The sequence is a geometric series with a first term of 13 and a common ratio of 5. The explicit formula for the nth term is an = 13 * 5^(n - 1).
Explanation:
Looking at the sequence 13, 65, 325, 1625, 8125, we can notice that each term appears to be five times the previous term. To find an explicit formula for the nth term of this sequence, we can express the sequence as a geometric series where the first term a1 is 13 and the common ratio r is 5. Therefore, the nth term an can be calculated using the formula an = a1 * r^(n-1).
The explicit formula for the nth term of this sequence is therefore an = 13 * 5^(n - 1).
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