Answer:
The explicit form f(n) is 
Step-by-step explanation:
A sequence is arithmetic if the difference between each consecutive terms is a constant.
The explicit formula of an arithmetic sequence is:
Where d is the common difference, a1 is the first term of the sequence and an is the nth term.
In order to obtain the common difference, you have to subtract two consecutive terms:
For the first and second terms:
2a+1 - a = a+1
For the second and third terms:
3a+2 - (2a+1)=
Applying the distributive property:
3a+2-2a-1= a+1
Notice that the difference of any two consecutive terms is the same. Therefore:
d=a+1
Also, a1=a (The first term)
Replacing in the explicit formula:
Answer:
- NOT a function
- domain: [-2, 2]
- range: [-4, 4]
Step-by-step explanation:
A vertical line intersects the graph twice, so the relation is not a function. It is only allowed to intersect once if the relation is a function.
The domain is the horizontal extent, which is from -2 to +2.
The range is the vertical extent, which is -4 to +4.
Make sure you know how to do these you will be using this for the rest of your mathematical schooling.
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Answer:C
because the rest do not have the correct y intercept which is -3
y=mx+b
y=output
m=slope (growth rate)
x=input
b= y intercept
Answer:
23/24
Step-by-step explanation:
I found a common denominator of 24, and then multiplied the numbers so that they would equal the common denominator. I then added all of the numbers up, to get an answer of 37/24. Finally, I subtracted 2 12/24 (which is equal to 2 1/2) to get an answer of 23/24. Because that cannot be simplified, that would be your final answer. Hope this helps :)
