Question

At the end of the first day, 7 weeds appear in your neighborhood park. Each day, the number of weeds increases by four times. How many weeds will be in the park at the end of 14 days?

Answer 1

This is a geometric sequence problem, since a common value is multiplied following each day, and not added, as would happen in an arithmetic sequence.

Explanation:

We use the formula `t_n = a xx r^(n -1)` to determine how many weeds will be in the park after `14` days.

In our problem, `a = 7`, `r = 4` and `n = 14`.

`t_14 = 7 xx 4^(14 - 1)`

`t_14 = "469 762 048"`

Hence, there will be `"469 762 048"` weeds in the neighbourhood park after `14` days. I'm afraid the municipality has to do some work!

Hopefully hitch helps!