subtract 10 from both sides
-6.5x = 130 divide
-6.5 into 130
<span>x = -20
</span>
Answer:
r=3 where r is the common ratio
Step-by-step explanation:
The sum of geometric progression for n terms is given by:
, where
is the
first term of the series and r is the common ratio.
Now, according to the question, there are four terms and they form a geometric progression. So sum of four terms is given as
and
.
Also according to the above formula:
![S_{4}=a_{1} ( 1-r^{4})/ 1-r](https://tex.z-dn.net/?f=S_%7B4%7D%3Da_%7B1%7D%20%28%201-r%5E%7B4%7D%29%2F%201-r)
Using the values as given in the question into the above equation we get:
![1+r =1/10 ( 1-r^{4})/ 1-r](https://tex.z-dn.net/?f=1%2Br%20%3D1%2F10%20%28%201-r%5E%7B4%7D%29%2F%201-r)
![(1+r)(1-r)=1/10 ( 1-r^{4})](https://tex.z-dn.net/?f=%281%2Br%29%281-r%29%3D1%2F10%20%28%201-r%5E%7B4%7D%29)
[ Using formula
]
![(1-r^{2})=1/10 ( 1-r^{2})(1+r^{2})](https://tex.z-dn.net/?f=%281-r%5E%7B2%7D%29%3D1%2F10%20%28%201-r%5E%7B2%7D%29%281%2Br%5E%7B2%7D%29)
![10=(1+r^{2})](https://tex.z-dn.net/?f=10%3D%281%2Br%5E%7B2%7D%29)
![10-1=(r^{2})](https://tex.z-dn.net/?f=10-1%3D%28r%5E%7B2%7D%29)
![\sqrt{9}=(r)](https://tex.z-dn.net/?f=%5Csqrt%7B9%7D%3D%28r%29)
which is the required answer.
Answer:
9.
Step-by-step explanation:
The top triangle is half in measurements then the bottom
Answer:
n is the least value, q is the greatest value and q is also the closest to zero
Step-by-step explanation:
First, you would subtract 4.25 from 6.25 and that would be equal to 2.
Then, you would take 2.25z and subtract it from 3.5z and it would equal 1.25z.
Next, you would separate the z by dividing 1.25 on both sides. Z=1.6
Answer: B
There is only one solution.