(Write answer on separate paper with clear writing)

The number of houses in a village is growing every year according to the recursive
rule

X

Po = 200 and Pn = Pn-1 + 30.

????Calculate P1 and P2.

????Find an explicit formula for Pn.

????Use your formula to predict the number of houses in 12 years.

????When will there be more than 400 houses in the village?
$The number of houses in a village is growing every year according to the recursive rule \[ P_{0}=200 \text { and } P_{n}=P_{n$

Question

(Write answer on separate paper with clear writing)

The number of houses in a village is growing every year according to the recursive
rule

X

Po = 200 and Pn = Pn-1 + 30.

$The number of houses in a village is growing every year according to the recursive rule \[ P_{0}=200 \text { and } P_{n}=P_{n$

The number of houses in a village is growing every year according to the recursive rule

P_{0} = 200 and P_{n} = P_{n ? 1} + 30

(a) Calculate

P_{1}

and

P_{2}

. (b) Find an explicit formula for

P_{n}

. (c) Use your formula to predict the number of houses in 12 years. (d) When will there be more than 400 houses in the village?

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