The sequence is an geometric progression;
Nth=a₁r^(n-1)
a₁ is the first term=-1
r=ratio=a₂/a₁=6/-1=-6
Nth=-1(-6^(n-1)
NTh=an
a₁=-1(-6⁰)=-1
a₂=-1(-6¹)=6
a₃=-1(-6²)=-36
a₄=-1(-6³)=216
therefore this serie is rising at an increasing fast speed, it is an geometric progression.
Three hundred twenty five thousand eight hundred nine
Answer:
.
Step-by-step explanation:
The given expression is

We need to simplify the expression such that answer should contain only positive exponents with no fractional exponents in the denominator.
Using properties of exponents, we get
![[\because a^ma^n=a^{m+n}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%5Ema%5En%3Da%5E%7Bm%2Bn%7D%5D)

![[\because a^{-n}=\dfrac{1}{a^n}]](https://tex.z-dn.net/?f=%5B%5Cbecause%20a%5E%7B-n%7D%3D%5Cdfrac%7B1%7D%7Ba%5En%7D%5D)

We can not simplify further because on further simplification we get negative exponents in numerator or fractional exponents in the denominator.
Therefore, the required expression is
.
-7y+3 is the answer that you are looking for
Answer:
132ft
Step-by-step explanation:
Mathius Distance = 3/8 mile
Eva Distance = 2/5 mile
1 mile = 5,280ft
1. Start by multiplying the mile distance of Mathius to the distance of 1 mile in feet.
5,280ft x 3/8 = 15840ft/8 = 1980ft
2. Do the same thing as number 1 but for Eva's distance now.
5,280ft x 2/5 = 10560ft/5 = 2112ft
3. Subtract Eva's Distance from Mathius' Distance for the answer.
2112ft (Eva) - 1980ft (Mathius) = <em>132ft</em>