Answer:
Step-by-step explanation:
common difference d=3-1=2
first term a=1
an=a+(n-1)d
2n-1=1+(l-1)2
2n-1=1+2l-2
2n-1=2l-1
l=n
(i used l for number of terms)
number of terms=n

The first term is 2 and the 20th term is 1048576 .
<u>Step-by-step explanation:</u>
Here we have , If the sum of the first 12 terms of a geometric series is 8190 and the common ratio is 2. We need to Find the first term and the 20th term. Let's find out:
We know that Sum of a GP is :
⇒
So ,Sum of first 12 terms is :
⇒ 
⇒ 
⇒ 
⇒ 
Now , nth term of a GP is
⇒ 
So , 20th term is :
⇒ 
⇒ 
⇒ 
Therefore , the first term is 2 and the 20th term is 1048576 .
A) d = r - 5 where t is the full price
<span>b) p = ( r - 5 ) * 1.05 </span>
<span>c) p = (15.5-5)*1.05 = 10.5 * 1.05 = $ 11.02</span>
An educated guess
In order to find this you need to use the right triangle formula and multiply the two.
Hope this helps!
Answer:
Hence, the sphere has a radius of
and is centered at the point (1,-1,1)
Step-by-step explanation:
We have the equation

We have to take into account the relation between coordinates

by substituting we have:
![\rho=2[\frac{x}{\rho}-\frac{y}{\rho}+\frac{z}{\rho}]\\\\\rho^2=2x-2y+2z\\\\x^2+y^2+z^2=2x-2y+2z](https://tex.z-dn.net/?f=%5Crho%3D2%5B%5Cfrac%7Bx%7D%7B%5Crho%7D-%5Cfrac%7By%7D%7B%5Crho%7D%2B%5Cfrac%7Bz%7D%7B%5Crho%7D%5D%5C%5C%5C%5C%5Crho%5E2%3D2x-2y%2B2z%5C%5C%5C%5Cx%5E2%2By%5E2%2Bz%5E2%3D2x-2y%2B2z)
We have to complete squares:

Hence, the sphere has a radius of
and is centered at the point (1,-1,1)
hope this helps!!