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Consider a population that grows according to the recursive rule `P_n = P_(n-1) + 70`, with initial population `P_0 = 40`.

Then:

`P_1` =
`P_2` =

Find an explicit formula for the population. Your formula should involve `n` (use lowercase n)

`P_n = `  

Use your explicit formula to find `P_100`

`P_100` =

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