Answer:
True.
Step-by-step explanation:
The explicit form for an arithmetic sequence is:
where 
is the first term and 
is the common difference.
The common difference here is 2 because the y's are going up by 2 while the x's are going up by 1.
Yes, the common difference is the slope.
So we have d=2.
The first term is 9.5 because that is what happens when x=1.
x is n.
y is 
.
So the answer is true.
----
You can also verify by plugging in numbers for n and see if you get the outputs mentioned in the pairs given:
Let n=1:
Let n=2:
Let n=3:
Let n=4:
Let n=5:
Let n=6:
We have confirmed that we get all 6 of the mentioned points using the equation they gave.
Start with 1.
1st number = 1
2nd number = 1 * 4 + 3 = 7
3rd number = 7 * 4 + 3 = 31
4th = 31 * 4 + 3 = 127
5th = 127 * 4 + 3 = 511
Which means the 6th = 511 * 4 + 3, which is 2047.
Answer:
75, 105
Step-by-step explanation:
12. 180-105 = 75
13. 105
Answer: approx. 8.33 ounces
Step-by-step explanation: you are splitting 25 ounces between 3 people when we do 25 / 3. The decimal would continue at eight point three repeated. To round to the nearest hundredth the answer is 8.33 See picture.
Answer:
$78
Step-by-step explanation:
In the equation y = 2x + 40, x represents the number of months the member is a part of the club.
We are given that a certain member is part of the club for 19 months, so we substitute the number 19 in for x:
y = 2x + 40 = 2 * 19 + 40 = 38 + 40 = 78.
Thus, the total cost is $78.
Hope this helps!
