Answer:
a) aₙ = 4.(2)^n-1
b) aₙ = 2+3(n-1)
c) aₙ = 3+4(n-1)
d) aₙ = 3.(4)^n-1
Step-by-step explanation:
a) a geometric sequence with first term of 4 and a common ratio of 2
aₙ = ar^n-1
where a is the first term and r is the common ratio
aₙ = 4.(2)^n-1
Comparing with the standard form:
1st term = 4
Common ratio = 2
b) an arithmetic sequence with a first term of 2 and a common difference of 3
The standard form of arithmetic sequence is:
aₙ = a₁ + d(n-1)
where a₁ is the first term and d is the common difference
Given: aₙ = 2+3(n-1)
Comparing with standard equation
First term = 2
Common difference = 3
c) an arithmetic sequence with a first term of 3 and a common difference of 4
The standard form of arithmetic sequence is:
aₙ = a₁ + d(n-1)
where a₁ is the first term and d is the common difference
Given: aₙ = 3+4(n-1)
Comparing with standard equation
First term = 2
Common difference = 3
d) a geometric sequence with first term of 3 and a common ratio of 4
aₙ = ar^n-1
where a is the first term and r is the common ratio
aₙ = 3.(4)^n-1
Comparing with the standard form:
1st term = 3
Common ratio = 4
The answer is the top left.
Since it is a > sign, it will be a dotted line and a shade to the right (greater). As for x, it is greater than 2. Thus, the graph will be a dotted line connecting the points of which the x coordinate is 2,and shaded to the right.
The answer would be -13=13. Its just telling you to write an equation by usiing the absolute value
Hi there!
So first off, here are little definitions you need to know in order to be able to answer your question :
<u>Constant</u> means that the rates of change are the same.
<u>Variable</u> means that the rates of change are different.
But from what I can see, you don't even need those definitions because you got both answers right!
Continue your great work! If there's anything just let me know! :)
