In mathematics, number sequences are classified into three types: arithmetic progression, geometric progression and harmonic progression. Arithmetic sequences have a common difference, geometric sequences have a common ration, while harmonic progression is just the reciprocal of the arithmetic progression.
The first term of the arithmetic sequence is 5, followed by three. Therefore, the common difference is, 3-5 = -2. You use these values to the derived formulas for arithmetic progression. One of these formulas is
An = A1 + (n-1)d
where
An is the nth term in the sequence
A1 is the first term of the sequence
n is the totla number of terms within the sequence
d is the common difference.
In this problem, A1 = 5 and d=2. Substituting to the equation,
An = 5 + (-2)(n-1)
An = 5 - 2(n-1), where n should be more than 1. In order for it to become a sequence, it should contain more than one term.
So, the answer is letter D.
Step-by-step explanation: 2 × 18 = 36. Then (as there are two numbers) take the square root: √36 = 6. this is for 36
Answer:
A C
Step-by-step explanation:
Answer:
Step-by-step explanation:
Leah wants to earn at least 120 dollars a month and she has two job options. This is written as
5x + 8y > 120
She also can't work more than 20 hours, leading us to the second equation
x + y = 20
First we solve for one variable
y = 20 - x
then substitute it into the first equation
5x + 8(20 - x) = 120
Solve for x
5x + 160 - 8x = 120
3x = 40
x = 40/3
Then we solve for y
y = 20 - x
y = 20/3
x < 40/3
y > 20/3
B and D will not work because their x+y is greater than 20.
E will also not work because the value is less than 120
Answer:
a. trapezoid
b. A= (a+b)/2 × h (base a times base b divided by 2 times the height)
c. 78.75
d. rectangle
e. l×w (length times width)
f. 133 (area on its own)
54.25 (area of rectangle minus the area of the
fire pit
Answer:
= x^2 + 3 / (x-1)(x-3)
Step-by-step explanation:
Adjust fractions based on the LCM:
= (x-3)^2 / (x-1)(x-3) + 6(x-1) / (x-3) (x-1)
Combine the fractions (equal denominators):
= (x-3)^2 + 6(x-1) / (x-1) (x-3)
Expand:
x^2 + 3 / (x-1)(x-3)
