Question

on day one a scientist using a microscope observes 5 cells in a sample. on day 2 the scientist observes 11 cells in the sample. on day 3 the scientist observes 17 cells in the sample and on day four 23 cells are observed. assume that this pattern continues. how many cells would the scientist observe on day 10? day 100?

Answer 1

hello . I'll explain

Explanation:

the pattern is like this

5 . 11 . 17 . 23 . ...

you see that the numbers go up by addition to 6

so we have 6x

lets make the first number . 6(1) + b =5 b= -1

so our pattern is y = 6x - 1

`day10 \: y = 6 * 10 - 1 = 59 \\ day100 \: y = 6 * 100 - 1 = 599`

hope you understand

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