The given sequence is
a₁, a₂, ...,

Because the given sequence is an arithmetic progression (AP), the equation satisfied is

where
d = the common difference.
The common difference may be determined as
d = a₂ - a₁
The common difference is the difference between successive terms, therefore
d = a₃ - a₂ = a₄ - a₃, and so on..
The sum of the first n terms is

Example:
For the arithmetic sequence
1,3,5, ...,
the common difference is d= 3 - 1 = 2.
The n-th term is

For example, the 10-term is
a₁₀ = 1 + (10-1)*2 = 19
Th sum of th first 10 terms is
S₁₀ = (10/2)*(1 + 19) = 100
Answer: The correct option is, The coefficient of the first term.
Step-by-step explanation:
The given function is,

End behavior of the polynomial function : It is defined as the graph of f(x) as x approaches
and
.
The end behavior of the graph depends on the leading coefficient and degree of the polynomial.
As, the degree of the polynomial is '3'. So, the leading coefficient will determine the structure of the graph.
Therefore, the coefficient of the first term will indicate that the left end starts at the top of the graph.
The graph is also shown below.
2 2/5=12:5
5 1/5= 26:5
12:26:5
I think.
Answer:
x = -5.25 or 21/4
Step-by-step explanation:
When break the bracket out, if there is a minus sign in front of the bracket, when we break it out, the sign inside the bracket would become positive:
67 = 18 - (8x - 7)
67 = 18 - 8x - (-7)
67 = 18 - 8x + 7
67 = 18 + 7 - 8x
67 = 25 - 8x or rewrite for easier look: 25 - 8x = 67
25 - 8x = 67
8x = 25 - 67
8x = -42
Divide both side by 8, we got:
x = -42 / 8
x = -5.25 or 21/4
Hope this helped :3
Answer:
1/24 chance
Step-by-step explanation:
To begin you would need to find the probability of picking a green sock which would be 3/9; and you could simplify this to 1/3.
After that you need to find the probability of picking a purple sock out of the 8 left, which would provide you with 1/8. To find the probability of both you would multiply 1/8 by 1/3 to find the combined probability which would leave you with 1/24.