Question

Describe the pattern. (P.772)

$1,5,25,125,\dots$

Short answer

The pattern is geometric pattern.

Step-by-step solution

Step 1. Given information.

The given sequence is $1,5,25,125,\dots$.

Step 2. Explanation.

If you check the pattern $1,5,25,125,\dots$ it can be seen that each successive member is the multiple of the number 5 and the number before it, or that the power of 5 is increasing from 0 onwards.

Therefore, the pattern is $5^0,5^1,5^2,5^3,\dots$..