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Write an explicit formula for a, the nth term of the sequence 5, 25, 125, ____________.

User Antoine
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Final answer:

The explicit formula for the nth term of the sequence 5, 25, 125 is aₙ = 5^(n-1).

Step-by-step explanation:

The explicit formula for the nth term of the sequence 5, 25, 125 is an = 5n-1.

This means that to find the nth term, you raise 5 to the power of (n-1). For example, if you want to find the 4th term, you would substitute n=4 into the formula: a4 = 54-1 = 53 = 125.