1, 5, 25, 125
This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by
5 gives the next term. In other words, an=a1⋅rn−1. Geometric Sequence: r=5
This is the form of a geometric sequence.an=a1rn−1 Substitute in the values of a1=1 and r=5.an=(1)⋅(5)n−1 Multiply (5)n−1 by 1. an=5n−1