I believe your answer is A.
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
→→→→→→
→→→→→→
Answer:
(I can not see the options, so I will answer in a general way)
When we have a system of linear equations:
y = a*x + b
y = c*x + d
We have 3 possible options:
One solution: This happens when the lines intersect only one time, and the solution of the system is the point where the lines intersect.
No solutions: This happens when the lines do not intersect, is the case for parallel lines (lines with the same slope but different y-intercept)
Infinite solutions: This happens when the lines do intersect at infinite points, is the case for two equal lines (so both equations represent the same line)
Now we have the system:
y = m*x + b
y = -2*x + A
We want to find values of m and b, such that this system has no solutions.
Then we know that the lines must be parallel, again, the lines must have the same slope but different y-intercept.
Then we can use:
m = -2, b = A + 1
we will get:
y = -2*x + (A + 1)
y = -2*x + A
This system has no solutions.
Other pair can be:
m = -2, b = A + 3
we will get
y = -2*x + (A + 3)
y = -2*x + A
This system has no solutions.
Answer:
This is the formula you use for someone investing in money. The formula is actually supposed to be: A=P(1+).
A is the total amount, P is the principal amount (the initial; original), r is percent (%) rate in decimal form, n is frequency, and t is the amount of years.
Step-by-step explanation:
Answer:
Step-by-step explanation:
well all you have to do is 500 dollars times two, because it times each 15 years right and 30/15=2. So you do $500*2 which is $1000. And you get $1500 in 45 yrs.
So the equations are for each 15 yrs you add 500 dollars to the amount.