Answer:
Step-by-step explanation:
Given
Recursive: 
Required
Determine the formula
Substitute 2 for n to determine 
Substitute
Next is to determine the common difference, d;
The nth term of an arithmetic sequence is calculated as
Substitute and
Hence, the nth term of the sequence can be calculated using
Answer:
the largest interval of x values where f(x) is increasing is (-1,1).
Step-by-step explanation:
the domain of f(x) is all real numbers.
As we can conclude from the table that the function f(x) is decreasing from (-3, -1) and the function is increasing from (-1, 1) .
Graphically we can also show this that for the x-values in (1,-1) function is increasing.
Answer:
Length - 12
Width - 7
Step-by-step explanation:
38 = 2((5+x) + x)
38 = 10 +4x
28=4x
x=7
7+5=12
The system of equations are p = 150 + 5n and p = 15n
<u>Solution:</u>
Given that, The Parks and recreation department in your town offers a season pass for $150.
With the season pass you pay $5 per session to use the town's tennis courts.
Without the season pass you pay $15 per session to use the tennis courts.
We have to write a system of equations to represent the situation
Now, let the number of sessions be "n" and total paying amount be "p"
<em><u>Then in case of taking season pass </u></em>
total amount = season pass cost + $5 per session
p = 150 + 5 x n
p = 150 + 5n
<em><u>And in case of no season pass</u></em>
total amount = 15 per session
p = 15 x n
p = 15n
Hence, the system of equations are p = 150 + 5n and p = 15n
Range: difference between the highest and lowest values
First order from smallest to greatest
3, 8, 24, 24, 29, 38, 62
Smallest number: 3
Largest number: 62
62 - 3 = 59
Solution: the range is 59
