1, 5, 25, 125, ... is the sequence geometric? find the Common ratio and the three terms in the sequence after the last one given.

see explanation

Step-by-step explanation:

If the sequence is geometric then there will be a common ratio r between consecutive terms.

5 : 1 = 5, 25 : 5 = 5, 125 : 25 = 5

Since there is a common ratio between consecutive terms the sequence is geometric.

To obtain the next term in the sequence, multiply the previous term by 5

The next 3 terms after 125 are

125 * 5 = 625

625 * 5 = 3125

3125 * 5 = 15625