Answer:
10000
Step-by-step explanation:
Answer:
![\Huge \boxed{\frac{1}{125}}](https://tex.z-dn.net/?f=%5CHuge%20%5Cboxed%7B%5Cfrac%7B1%7D%7B125%7D%7D)
Step-by-step explanation:
<h2>Order of operations</h2>
PEMDAS
Parenthesis, exponent, multiply, divide, add, and subtract from left to right.
Do exponent.
![\displaystyle \frac{1}{5^3}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B1%7D%7B5%5E3%7D)
![\displaystyle 5^3=5\times5\times5=125](https://tex.z-dn.net/?f=%5Cdisplaystyle%205%5E3%3D5%5Ctimes5%5Ctimes5%3D125)
![\displaystyle \frac{1}{125}=125](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cfrac%7B1%7D%7B125%7D%3D125)
, which is our answer.
Hope this helps!
This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by 4 gives the next term. In other words:
an = a1 * r ^ (n-1)
Now, knowing that a1 = 2, and r = 4
We check
a2 = 2 * 4 ^ (2-1) = 2 * (4 ^ 1) = 8
a3 = 2 * 4 ^ (3-1) = 2 * (4 ^ 2) = 32
a4 = 2 * 4 ^ (4-1) = 2 * (4 ^ 3) = 128
Therefore, this is the geometric function that this sequence fulfills.
Answer:
x² + 2x - 6
Step-by-step explanation:
= f(x) + g(x)
= (2x + 1) + (x² - 7)
= 2x + 1 + x² - 7
= 2x - 6 + x²
= x² + 2x - 6
<em>good luck, i hope this helps :)</em>