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:
c. (3, 2)
Step-by-step explanation:
Equating the values of y :
- -x + 5 = x - 1
- x + x = 5 + 1
- 2x = 6
- <u>x = 3</u> [x-coordinate of the solution]
Finding y by substituting x in one of the equations :
- y = x - 1
- y = 3 - 1
- <u>y = 2</u> [y-coordinate of the solution]
Solving :
- Solution = (x, y)
- Solution = (3, 2)
We'll do the first one. I can't read the variable, but it looks like a
so that's what I'll use, but it doesn't matter.
First, get the variable by itself:
You get that before you multiply each side by two.
Now, you color the line so that all values that are less than 6 are shaded, so you put an open circle at 6 since it's not included and then you shade everything to the left.
(40×5)+(2×5) so 40×5=200 and 2×5=10 so 200+10=210
You would find the sign if the signs are not the same if you are dividing or multiplying its negitve if its the same its positive
