Answer:
0
Step-by-step explanation:
Because anything times 0 is 0
Answer:
The common ratio is ![\frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D)
The next term in the sequence is 2
Step-by-step explanation:
In a geometric sequence, the common ratio is the constant value you multiply a term by in order to find the value of the following term. Therefore, it is mathematically calculated as the quotient between a term and the term immediately before it. And it is in fact That is:
common ratio ![r=\frac{a_{n+1}}{a_n}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Ba_%7Bn%2B1%7D%7D%7Ba_n%7D)
This quotient should be true for any two consecutive terms in the sequence.
so using the first two terms, we find:
![r=\frac{a_{n+1}}{a_n}=\frac{a_{2}}{a1}=\frac{128}{512} =\frac{1}{4}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Ba_%7Bn%2B1%7D%7D%7Ba_n%7D%3D%5Cfrac%7Ba_%7B2%7D%7D%7Ba1%7D%3D%5Cfrac%7B128%7D%7B512%7D%20%3D%5Cfrac%7B1%7D%7B4%7D)
You can test that this common ratio is true for all other terms listed:
![\frac{a_3}{a_2} =\frac{32}{128} =\frac{1}{4} \\\frac{a_4}{a_3} =\frac{8}{32} =\frac{1}{4} \\](https://tex.z-dn.net/?f=%5Cfrac%7Ba_3%7D%7Ba_2%7D%20%3D%5Cfrac%7B32%7D%7B128%7D%20%3D%5Cfrac%7B1%7D%7B4%7D%20%5C%5C%5Cfrac%7Ba_4%7D%7Ba_3%7D%20%3D%5Cfrac%7B8%7D%7B32%7D%20%3D%5Cfrac%7B1%7D%7B4%7D%20%5C%5C)
So now, in order to find the term that follows, all we need to do is to multiply the last term given (8) by this common ratio:
![a_5=8*\frac{1}{4} =2](https://tex.z-dn.net/?f=a_5%3D8%2A%5Cfrac%7B1%7D%7B4%7D%20%3D2)
Answer:
extra money earn by typical person earning = $1850
Step-by-step explanation:
earned = $50,000 per year
retained = 2%
credit on their federal tax return = $850
amount of taxes = $850
typical person earning = $50,000
to find out
extra money did a typical person earning receive due to the tax cuts
solution
extra money earn by typical person earning is
extra money earn by typical person earning = 2% of $50000 + $850
extra money earn by typical person earning = $1000 + $850
extra money earn by typical person earning = $1850
Answer: 480 cubes touch the box
Step-by-step explanation: