1)
n 1 2 3 4 5 6
f(n) 1033 932 831 730 629 528
First term (a₁): <u>1033 </u> Common difference (d): <u>-101 </u>
Explicit rule:
Recursive rule: ![a_{n} = a_{n-1} - 101](https://tex.z-dn.net/?f=a_%7Bn%7D%20%3D%20a_%7Bn-1%7D%20-%20101)
![a_{n} = a_{1} + d(n - 1)](https://tex.z-dn.net/?f=a_%7Bn%7D%20%3D%20a_%7B1%7D%20%2B%20d%28n%20-%201%29)
![a_{n} = 1033 - 101(n - 1)](https://tex.z-dn.net/?f=a_%7Bn%7D%20%3D%201033%20-%20101%28n%20-%201%29)
![a_{n} = 1033 - 101n + 101](https://tex.z-dn.net/?f=a_%7Bn%7D%20%3D%201033%20-%20101n%20%2B%20101)
![a_{n} = 1134 - 101n](https://tex.z-dn.net/?f=a_%7Bn%7D%20%3D%201134%20-%20101n)
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2)
n 1 2 3 4 5 6
f(n) -39 -29 -19 -9 9 19
First term (a₁): <u> -39 </u> Common difference (d): <u> +10 </u>
Explicit rule:
Recursive rule: ![a_{n} = a_{n-1} + 10](https://tex.z-dn.net/?f=a_%7Bn%7D%20%3D%20a_%7Bn-1%7D%20%2B%2010)
![a_{n} = a_{1} + d(n - 1)](https://tex.z-dn.net/?f=a_%7Bn%7D%20%3D%20a_%7B1%7D%20%2B%20d%28n%20-%201%29)
![a_{n} = -39 + 10(n - 1)](https://tex.z-dn.net/?f=a_%7Bn%7D%20%3D%20-39%20%2B%2010%28n%20-%201%29)
![a_{n} = -39 + 10n - 10](https://tex.z-dn.net/?f=a_%7Bn%7D%20%3D%20-39%20%2B%2010n%20-%2010)
![a_{n} = -49 + 10n](https://tex.z-dn.net/?f=a_%7Bn%7D%20%3D%20-49%20%2B%2010n)
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3)
n 1 2 3 4 5 6
f(n) 3.75 2.5 1.25 0 -1.25 -2.5
First term (a₁): <u> 3.75 </u> Common difference (d): <u> -1.25 </u>
Explicit rule:
Recursive rule: ![a_{n} = a_{n-1} - 1.25](https://tex.z-dn.net/?f=a_%7Bn%7D%20%3D%20a_%7Bn-1%7D%20-%201.25)
![a_{n} = a_{1} + d(n - 1)](https://tex.z-dn.net/?f=a_%7Bn%7D%20%3D%20a_%7B1%7D%20%2B%20d%28n%20-%201%29)
![a_{n} = 3.75 - 1.25(n - 1)](https://tex.z-dn.net/?f=a_%7Bn%7D%20%3D%203.75%20-%201.25%28n%20-%201%29)
![a_{n} = 3.75 - 1.25n + 1.25](https://tex.z-dn.net/?f=a_%7Bn%7D%20%3D%203.75%20-%201.25n%20%2B%201.25)
![a_{n} = 5 - 1.25n](https://tex.z-dn.net/?f=a_%7Bn%7D%20%3D%205%20-%201.25n)
To find the percentage of a number, you take the percent - 5% - and change it to a decimal by moving the percent over 2 times to the left and multiplying it by the number. So...
.05 x 63
= 3.15
Answer: 5% of 63 is 3.15
so if it was three four hours and he took four five of the time it will be all day for take away for 0/0
Check the picture below
so, the volume will then be, the product of the area of the triangle and the height of the prism, and as you know, the area of the triangle is 1/2bh
LIFO method
Units Available for sale = 25 + 20 + 30 + 15 = 90 units
Ending Inventory = 24 units
Units Sold = (90 – 24) = 66 units
Cost of Goods Sold
Sales from September = 15 units x $45 = $675
Sales from June = 30 units x $38 = $1140
Sales from March = 20 units x $42 = $900
Sales from Beginning Inventory = 1 unit x $25 = $25
Total: 66 units = $2740
Ending Inventory from beginning inventory = 24 units x 35 = $840