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
Answer:
y = 1.5x
Step-by-step explanation:
in the graph you can see that when y=2, x= 3 and this graph is linares (im sorry if its not the right word). so this means for every 3gal of white paint youll need 2 gal of red paint. so 2y=3x: y = 3/2x
Answer:
D. 60
Step-by-step explanation:
210 baseballs divided evenly between 7 trash bins = 30 balls per bin
2 trash bins multiplied by 30 balls per bin = 60 balls in two bins
Hope this helps!
Answer:
B
Step-by-step explanation:
You can solve this by using the vertical line test. When you do the vertical line test, the vertical line should only pass through one point on the function. That means that there can to be only one value of x for every y. Set B is the only set where the x value doesn't repeat.
