Answer:
Step-by-step explanation:
According to the formula we need to start from n = 1. So the first 5 terms of the sequence, will have the following values of n: 1,2,3,4,5
Now, we need to replace the values of n into the formula to get all the terms.
f(1) = 1/3 ^ 1-1 = 1/3^0 = 1.
This is because any number elevated to zero is always the unit, in this case, 1.
f(2) = 1/3 ^2-1 = 1/3 ^1 = 1/3
This, because any number elevated to 1, is always the same initial number.
f(3) = 1/3 ^3-1 = 1/3 ^2 = 1/9.
Because when the exponent is elevating a fraction number, the power goes to both numbers (numerator and denominator)
f(4) = 1/3 ^4-1 = 1/3 ^3 = 1/27.
f(5) = 1/3 ^5-1 = 1/3 ^4 = 1/81.
Answer:
See attached
Step-by-step explanation:
The midpoint will be -> (3, 2)
We get this from plugging in our numbers (file 2) and solving. You get (6/2, 4/2) which results in (3, 2).
<u>Files:</u>
[1] Midpoint Formula
[2] I filled in the image you shared
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Answer:
40,320.
Step-by-step explanation:
We are asked to find the number of ways in which 8 books could be arranged on a shelf.
The 1st could be arranged in 8 ways. Since one place is filled, so 2nd book could be arranged in 7 ways.
Similarly, the 3rd book could be arranged in 6 ways as first two places are already taken. This process will go on.
So the 8 books can be arranged in 

Therefore, 8 books could be arranged in 40,320 ways.
The correct answer is b because of the answers given you start to graph it gives you the answer.
Answer:
2 3/4 in
Step-by-step explanation:
The sum of the marked distances is equal to the total distances shown:
... (1 5/8) + ? + (1 5/8) = 6
... ? = 6 - (1 5/8 + 1 5/8) . . . . . subtract the constants on the left
... ? = 6 - (2 5/4) . . . . . . . . . . . add the numbers in parentheses
... ? = 6 - 3 1/4 . . . . . . . . . . . . rewrite the number in parentheses (2+5/4 = 2 + 1 1/4)
... ? = (6 -3) -1/4 = 3 -1/4 . . . . . see below
... ? = 2 3/4
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<em>Comment on subtacting mixed numbers</em>
Some folks find it convenient to subtract by adding. To find the difference between 3 1/4 and 6, they would start by adding 3/4 to make 4, then add 2 to make 6. Then they see the difference is 3/4 + 2 = 2 3/4.
Here, I chose to subtract 3 1/4 by subtracting 3, then subtracting 1/4. After subtracting 3 from 6, I get 3, from which I now need to subtract 1/4. It should be clear that taking 1/4 away from 3 will leave 2 3/4. (One of the units has been converted to 4/4 to make the subtraction of 1/4 possible.)
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<em>Comment on doubling a fraction</em>
As part of this problem, we needed to add 1 5/8 to itself. We did that by doubling the integer part, and doubling the fraction. When a fraction has an even denominator, it is easy to double it: replace the denominator with half its value — 2×(5/8) = 5/4, where the denominator 4 is half the denominator 8.