To find the distance of Earth and Mars from the sun using the given formula, we need to substitute the respective values of n into the equation and simplify the expression. Let's calculate them:
For Earth (n = 3, as it is the third planet from the sun):
d = 9,275,200[3(2n − 2) + 4]
d = 9,275,200[3(2*3 − 2) + 4]
d = 9,275,200[3(6 − 2) + 4]
d = 9,275,200[3(4) + 4]
d = 9,275,200[12 + 4]
d = 9,275,200[16]
d = 148,403,200
The distance of Earth from the sun is approximately 148,403,200 miles.
For Mars (n = 4, as it is the fourth planet from the sun):
d = 9,275,200[3(2n − 2) + 4]
d = 9,275,200[3(2*4 − 2) + 4]
d = 9,275,200[3(8 − 2) + 4]
d = 9,275,200[3(6) + 4]
d = 9,275,200[18 + 4]
d = 9,275,200[22]
d = 204,055,200
The distance of Mars from the sun is approximately 204,055,200 miles.
Therefore, the distances are as follows:
Earth: 1.48 ✕ 10^8 mi (148,000,000 miles)
Mars: 2.04 ✕ 10^8 mi (204,000,000 miles)