Answer:

Step-by-step explanation:
The sequence shown matches that of a geometric sequence of radius 4. To prove it, divide the term
and check that
Then the formula that represents this sequence is:

Where
is the first term of the series = 2 and
is the radius of convergence = 4.
Then the equation is:

Answer:
108 kilometers per hour = 30 meters per second
So, 108 kilometers per hour = 108 × 0.27777777777778 = 30 meters per second.
Answer:

Step-by-step explanation:
Let
.
and

The graph of the two equations are shown in the attachment.
The points where the two graphs intersected are: 
The x-coordinates of the intersection points are the solutions to
.
Therefore the solutions are: 
Answer:
1/2 = r
Step-by-step explanation:
7r + 21 = 49r
Subtract 7r from each side
7r-7r + 21 = 49r-7r
21 = 42r
Divide each side by 2
21/42 = 42r/42
1/2 = r