A population grows such that Pn=1.05Pn−1P_n = 1.05 P_{n-1}Pn=1.05Pn−1. If P0=1000P_0 = 1000P0=1000, which expression calculates P2P_2P2?
1000⋅(1.05)21000 \cdot (1.05)^21000⋅(1.05)2
1000⋅1.05⋅21000 \cdot 1.05 \cdot 21000⋅1.05⋅2
1000+1.05+1.051000 + 1.05 + 1.051000+1.05+1.05
10002⋅1.051000^2 \cdot 1.0510002⋅1.05