Hello from MrBillDoesMath!
Answer:
a^6 + 4 a^5 + 5 a^4 - 5 a^2 - 4 a - 1
Discussion:
You may need to clean things up a bit but suppose that
S(1) = a-1
S(2) = a^2 -1
Since this is a geometric series, the geometric ratio is given by
S(2)/ S(1) = (a^2 -1)/ (a-1)
= (a+1)(a-1)/ (a-1)
= a+1
Conclusion:
S(2) = (a+1) S(1) = (a+1) (a-1)
S(3) = (a+1) S(2) = (a+1) (a+1) (a-1) = (a+1)^ (3-1) (a-1)
S(4) = (a+1) S(3) = (a+1) * (a+1)^2 (a-1) ) = (a+1)^(4-1) (a-1)
in general.....
S(n) = (a+1)^ (n-1) (a-1)
So
S(6) = (a+1)^ (6-1) (a-1)
= (a-1) (a+1) ^ 5
= a^6 + 4 a^5 + 5 a^4 - 5 a^2 - 4 a - 1
Hope I didn't screw something here!
Thank you,
MrB
Answer:
RED,ORANGE,YELLOW
PURPLE,YELLOW,GREEN
BLUE,GREEN,YELLOW
PURPLE,BLUE,GREEN
PURPLE,BLUE,RED
PURPLE,ORANGE,BLUE
RED,YELLOW,BLUE,
ORANGE,YELLOW,GREEN
YELLOW,BLUE,PURPLE
YELLOW,GREEN,PURPLE
there is many combinations
Step-by-step explanation:
8hrs = 480mins
6hrs = 360 mins
472/480 = 0.983...
0.983... x 360 = 354
D) 354
First step: x= ± √ 121
Second step and correct answer: x= ± 11
Because: x^2 = x= ± √