Simplify the following:
-5×1×11×4
-5×1 = -5:
-5×11×4
-5×11 = -55:
-55×4
-55×4 = -220:
Answer: -220
Answer:
Explanation is in a file
Step-by-step explanation:
The answer order is
Bill
Tip
Because there are 4 friends. They each pay 1/4 of the bill.
And they each tip 2 dollars
It’s going to be negative infinitely, infinitely.
Answer:
1)![a_{n}=a_{1}+(n-1)d\Rightarrow a_{n}=-1-2(n-1)\\a_{2}=-1-2(2-1)\Rightarrow a_{2}=-3\\a_{3}=-1-2(3-1)\Rightarrow a_{3}=-5\\(...)\\a_{10}=-1-2(10-1)=-19](https://tex.z-dn.net/?f=a_%7Bn%7D%3Da_%7B1%7D%2B%28n-1%29d%5CRightarrow%20a_%7Bn%7D%3D-1-2%28n-1%29%5C%5Ca_%7B2%7D%3D-1-2%282-1%29%5CRightarrow%20a_%7B2%7D%3D-3%5C%5Ca_%7B3%7D%3D-1-2%283-1%29%5CRightarrow%20a_%7B3%7D%3D-5%5C%5C%28...%29%5C%5Ca_%7B10%7D%3D-1-2%2810-1%29%3D-19)
2) ![a_{10}=4+8(10-1)\Rightarrow a_{10}=76](https://tex.z-dn.net/?f=a_%7B10%7D%3D4%2B8%2810-1%29%5CRightarrow%20a_%7B10%7D%3D76)
Step-by-step explanation:
1) To write an Arithmetic Sequence, as an Explicit Term, is to write a general formula to find any term for this sequence following this pattern:
![a_{n}=a_{1}+d(n-1)\Rightarrow \left\{\begin{matrix}a_{n}=n^{th}\: term\\a_1=1st \: term \\d=\: difference\\n=n^{th}\, term\end{matrix}\right.](https://tex.z-dn.net/?f=a_%7Bn%7D%3Da_%7B1%7D%2Bd%28n-1%29%5CRightarrow%20%5Cleft%5C%7B%5Cbegin%7Bmatrix%7Da_%7Bn%7D%3Dn%5E%7Bth%7D%5C%3A%20term%5C%5Ca_1%3D1st%20%5C%3A%20term%20%5C%5Cd%3D%5C%3A%20difference%5C%5Cn%3Dn%5E%7Bth%7D%5C%2C%20term%5Cend%7Bmatrix%7D%5Cright.)
<em>"Write an explicit formula for each explicit formula A(n)=-1+(n-1)(-2)"</em>
This isn't quite clear. So, assuming you meant
Write an explicit formula for each term of this sequence A(n)=-1+(n-1)(-2)
As this A(n)=-1+(n-1)(-2) is already an Explicit Formula, since it is given the first term
the common difference
let's find some terms of this Sequence through this Explicit Formula:
![a_{n}=a_{1}+(n-1)d\Rightarrow a_{n}=-1-2(n-1)\\a_{2}=-1-2(2-1)\Rightarrow a_{2}=-3\\a_{3}=-1-2(3-1)\Rightarrow a_{3}=-5\\(...)\\a_{10}=-1-2(10-1)=-19](https://tex.z-dn.net/?f=a_%7Bn%7D%3Da_%7B1%7D%2B%28n-1%29d%5CRightarrow%20a_%7Bn%7D%3D-1-2%28n-1%29%5C%5Ca_%7B2%7D%3D-1-2%282-1%29%5CRightarrow%20a_%7B2%7D%3D-3%5C%5Ca_%7B3%7D%3D-1-2%283-1%29%5CRightarrow%20a_%7B3%7D%3D-5%5C%5C%28...%29%5C%5Ca_%7B10%7D%3D-1-2%2810-1%29%3D-19)
2)
In this Arithmetic Sequence the common difference is 8, the first term value is 4.
Then, just plug in the first term and the common difference into the explicit formula:
![a_{10}=4+8(10-1)\Rightarrow a_{10}=76](https://tex.z-dn.net/?f=a_%7B10%7D%3D4%2B8%2810-1%29%5CRightarrow%20a_%7B10%7D%3D76)