Final answer:
The explicit formula for the given sequence is a_n = a_n-1 * -5.
Step-by-step explanation:
An explicit formula is a formula that allows us to find any term in a sequence based on its position. For the given sequence 1, -5, 25,
we can observe a pattern where each term is obtained by multiplying the previous term by -5. Therefore, the explicit formula for this sequence is:
an = an-1 * -5
where an represents the nth term of the sequence, and an-1 represents the previous term.
Using this formula, we can find any term in the sequence by substituting the appropriate values.