Answer
a. Pn-1 (1,011)
b. 1,011^n x P0
c. P20 = 1,011^20 x 6,9B
Work Step by Step
a.
r = \frac{11}{1000}
P0 = 6,9 B
P1 = 6,9 B (1+\frac{11}{1000})
P2 = P1 (1+\frac{11}{1000})
= 6,9 B (1+\frac{11}{1000}) (1+\frac{11}{1000})
= 6,9 (1+\frac{11}{1000})^{2}
Pn = Pn-1 (1+\frac{11}{1000})
Pn = Pn-1 x 1,011
b. Pn = Pn-1 x 1,011
P0 = 6,9 B
P1 = 1,011 x P0
= 1,011 x 6,9 B
P2 = 1,011 x P1
= 1,011 x (1,011 x 6,9 B)
= 1,011^2 x 6,9 B
Pn = 1,011^{n} x 6,9 B
Pn = 1,011^{n} x P0
c.
2010 ----> n = 0
2030 ----> n = 2030 - 2010
2030 ----> n = 20
Pn = 1,011^{n} x P0
Pn = 1,011^{20} x 6,9 B
