Question

Step number/number of dots- 0=1, 1=5, 2=25, 3=125,

At on step, there are 9,765,625 dots in a pattern. At what step number will that happen? Explain how you know.

Answer 1

10th step

Explanation:

The pattern increases by an exponent of 5

0 : 5^0 = 1

1 : 5^1 = 5

2 : 5^2 = 25

3 : 5^3 = 125

The pattern is y = 5^x

• y = output
• x = step number

Now we have:

9,765,625 = 5^x

Equation:

`log_59765625 = x\\ \\ x = 10`

`\boxed{\text{10th step}}`

-Chetan K