Answer: f(n+1) = 3 f(n)
Step-by-step explanation:
- A recursive formula is used to determine each term of a sequence using preceding term or terms.
Given sequence : 2.5, 7.5, 22.5, 67.5, 202.5,...
Here,
Common ratio = 3
Let f(n) be a term in this sequence then the next term will be f(n+1) = 3 f(n), where n is a natural number .
Required recursive formula : f(n+1) = 3 f(n)
Answer:
LOOK IN NOTES
Step-by-step explanation:
The ball describes a parabola, as you can see in the attached picture. So, the point where the ball strike the ground is the point where the parabola meets the x axis. In fact, the x-axis is the set of points where y=0, which means that the ball has height 0 or -again- it hits the ground.
So, we have to set y=0 in our equation and look for the positive solution. We have
And the positive solution is
So that's the distance from the child where the ball strikes the ground.
|3-v| < 6
1) Write the inequality as two inequalities without absolute value:
1st inequality: 3 < 6
2nd inequality: -v < 6
2)
|3-v| < 6
<u>-3 -3</u>
|-v| < 3
v < 3
v = 2
3 - v < 6
3 - 2 < 6
1 < 6
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/ ___ \ Let's imagine a trapezoid looks like this. The two parallel lines would be the top and the bottom lines.
The 10 in. side would be either the top or bottom line. The other parallel line is twice as long, meaning it's 2 times longer. So you multiply 10 in x 2 = 20 in.
The given side length = 10 inches.
Height = half as long, meaning it's half of 10 in. = 5 in.
Formula of a trapezoid =
x height
Where a and b are bases. The top and bottom of the trapezoid are bases.
Area trapezoid =
x 5 =
x 5 = 15 x 5 = 75 in² <-- area means the unit is squared