Answer:
3 courts
Step-by-step explanation:
8,000 = 1 court
24,000 = x courts
8,000 x ? = 24,000
8,000 x <u>3</u> = 24,000
1 x 3 = 3 courts
a_15 = 90
a_n = 6n
Step-by-step explanation:
Given sequence is:
6, 12, 18, 24,...
First of all we have to find the common difference. The common difference is the difference between consecutive terms of an arithmetic sequence.
Here,

The general form for arithmetic sequence is:

Putting the values for a_1 and d

<u>a) Find a15</u>

<u>b) Write an equation for the nth term.</u>
The equation is: a_n=6n
Keywords: Arithmetic sequence, Common Difference
Learn more about arithmetic sequence at:
#LearnwithBrainly
Answer:
p is approximately equal to 1.125, -1.925
Step-by-step explanation:
We can solve this first by expanding, giving us a quadratic equation in the usual ax² + bx + c format, then solving that for p:
(4p - 4)(13p + 27) = 0
52p² + 108p - 52p - 108 = 0
52p² + 52p - 108 = 0
13p² + 13p - 27 = 0
13p² + 13p = 27
p² + p = 27 / 13
p² + p + 1/4 = 27/13 + 1/4
(p + 1/2)² = 108 / 52 + 13 / 52
(p + 1/2)² = 121 / 52
p + 1/2 = ± √(121 / 52)
p = -1/2 ± 11√(1/13) / 2
At that point we can simply plug those numbers into a calculator and solve it:
p ≈ 1.125, -1.925
The answer is 10.<span>Think of the outlier as in the dot that's off-topic out of the entire graph. </span>