Answer:
Arithmetic sequence:
Geometric sequence:
Step-by-step explanation:
The arithmetic sequence: is the sequence whos terms increased or decreased by a constant amount.
Examples:
- 4, 7, 10, 13, 16, ........................ (increased by 3)
- 25, 20, 15, 10, ......................... (Decreased by 5)
The explicit formula for the nth term of the arithmetic sequence is:
is the first term
- d is the constant difference between each two consecutive terms
- n is the position of the number in the sequence
The geometric sequence: is the sequence whos consecutive terms have a constant ratio
Examples:
- 1, 2, 4, 8, 16, ........................ (Multiplying by 2)
- 625, 125, 25, 5, ......................... (Dividing by 5)
The explicit formula for the nth term of the geometric sequence is:
is the first term
- r is the constant ratio between each two consecutive terms
- n is the position of the number in the sequence
* Arithmetic sequence →→→→→→ Geometric sequence
Has a constant difference →→→→→→ Has a constant ratio
→→→→→→
→→→→→→ ![r=\frac{a_{n}}{a_{n-1} }](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Ba_%7Bn%7D%7D%7Ba_%7Bn-1%7D%20%7D)
Answer:
A. (5, 9)
Step-by-step explanation:
The first equation tells you x=5, so the only viable choices are A and C.
The second equation tells you ...
y = 2·5 -1 = 10-1 = 9
so the only viable choice is A.
(x, y) = (5, 9) . . . . . matches choice A
Answer:
50.72 us fl oz
Step-by-step explanation:
Given:
500 ml of ingredient to be mixed with 1000 ml of another ingredient.
![\therefore \textrm{Total solution contains} = 1500ml](https://tex.z-dn.net/?f=%5Ctherefore%20%5Ctextrm%7BTotal%20solution%20contains%7D%20%3D%201500ml)
Now we need to convert ml into Ounces.
Formula:
![\texttrm{us fl oz} = ml \times 0.033814= 1500 \times0.033814 = 50.72 oz](https://tex.z-dn.net/?f=%5Ctexttrm%7Bus%20fl%20oz%7D%20%3D%20ml%20%5Ctimes%200.033814%3D%201500%20%5Ctimes0.033814%20%3D%2050.72%20oz)
![\therefore \textrm{Total solution contains} = 50.72 ounces](https://tex.z-dn.net/?f=%5Ctherefore%20%5Ctextrm%7BTotal%20solution%20contains%7D%20%3D%2050.72%20ounces)
Answer:
pi + -pi = 0
Step-by-step explanation:
We need to have irrational numbers that we are adding and end up with a rational number. This means that it is not closed under addition
pi is an irrational number
0 is a rational number
pi + -pi = 0
irrational + irrational = rational