Given:
The sequence is
436, 218, 109, 54.5, 27.25,...
To find:
The explicit formula for the given sequence.
Solution:
We have,
436, 218, 109, 54.5, 27.25,...
It is a GP because the two consecutive terms have common ratio.
Here,
First term : a=436
Common ratio : d = 
= 
= 
Now, the explicit formula for a GP is
Where, a is the first term and r is the common ratio.
Putting a=436 and r=0.5, we get
Therefore, the correct option is c.
Answer:
2x² + 8x - 35
Step-by-step explanation:
x(2x + 3) + 5(x - 7) ← distribute both parenthesis
= 2x² + 3x + 5x - 35 ← collect like terms
= 2x² + 8x - 35
Answer for Area:
6,518.75 square meters
Explanation for Area:
First, you would multiply the length and the width of the car park to find its area (75 x 100 =7500). Now, find the area of the arena. Since you are given the diameter, divide it by 2 to get the radius (25). Now multiply π by 25^2. This should give you 1962.5. Then, since only half of the arena is in the car park, divide the area of the arena by 2. Now you have 981.25. Now, subtract this from the area of the car park (7500). Your answer should now be 6,518.75.
Answer for Fence:
295 meters
Explanation for Fence:
Add up all the sides. There are two sides with 100 meters and 2 sides with 75 meters. But, because you arent supposed to include the space where the arena is. only add 25. This gets you 300. Now, subtract 5 meters for a gate. 295 is your final answer.
Answer: 2/6
Step-by-step explanation:
There’s only 2 numbers greater than 4 on a die, so two would be the numerator and the denominator would be the number of possibilities you could roll, which is 1-6.
Answer:
521,400 meters squared
Step-by-step explanation:
With the 1cm = 100m scale
6.6 cm = 660m
7.9 cm = 790m
Area = 660 x 790 = 521,400 meters squared
