Answer:
a₁ = -5, d = 7, a₂ = 2, a₃ = 9, a₄ = 16
equation of sequence: 
Step-by-step explanation:
a₁ + a₂ + a₃ = 6
a₁ + a₁ + d + a₁ + 2d = 6
3a₁ + 3d = 6
a₁ + d= 2 ⇒ a₁ = 2 - d
a₄ = 16
a₁ + 3d = 16
2 - r + 3d = 16
2d = 14
d = 7
a₁ = 2-7 = -5
a₁ = -5, d = 7 ⇒ a₂ = -5+7 = 2, a₃ = 2+7 = 9, a₄ = 9+7 = 16
equation of arithmetic sequence:
Answer:
THe value after 5 years will be $301100.755
Step-by-step explanation:
Each year the houses appreciates a 6%; as a result, the price of the house is multiplied by 1.06 for each passing year. If 5 years passed, then the price would multiply for 1.06 a total of 5 times, hence it will be multiplied by 1.06⁵.
The value of the house after 5 years will be
225000*1.06⁵ = $301100.755
Answer:
the answer to number one is (13.3,2)
the answer to number two is (2,-2)
Step-by-step explanation:
Find the distance (in coordinate plane units) from (-4,10) to (-10,-1).
The change in x will be -6 and the change in y will be -11.
Thus, the distance between the 2 pts is, by the Pythagorean Theorem,
sqrt( [-6]^2 + [-11]^2 ) = sqrt(157).
Convert this to miles:
sqrt(157 units^2) = 12.6 units
1.55 mi
12.6 units * ------------- = 19.4 miles (answer)
1 unit
Sam's first three number:6,12,18 George's first three numbers:8,16,24
