a geometric sequence is a bunch of numbers where you can get from a number to the next number by multiplying the previous number by a certain number
might be confusing so here's an example
1,2,4,8,16
each term is multiplied by 2 to get next term, that number that each term is multiplied by is called the common ratio
formula for geometric sequence is
![a_n=a_1(r)^{n-1}](https://tex.z-dn.net/?f=a_n%3Da_1%28r%29%5E%7Bn-1%7D)
where
is nth term
is first term
r is teh common ratio
n=which term
in our example
1,3, 9, 27, 81
each term is being multiplied by 3 so it is a geometric sequence and thus r=3
also first term is 1 so ![a_1=1](https://tex.z-dn.net/?f=a_1%3D1)
so the formula is
or in function notation ![f(n)=1(3)^{n-1}](https://tex.z-dn.net/?f=f%28n%29%3D1%283%29%5E%7Bn-1%7D)
6,250
1,000/4,000 = 25/100
25/100 = x/5,000
x = 1,250
5,000 + 1,250 = 6,250
Answer:
5.25
Step-by-step explanation:
1. 19 + 1/4x =40
2. 1/4x=40-19
3. 1/4x=21
4. x= 21/1/4
5. x= 5.25
Answer:
Below
Step-by-step explanation:
2x + 5 > -1
Treat the equality sign (ex. < >) as the costumary equal sign (=).
2x + 5 + (-5) > -1 + (-5) ---- -5 will cancel out the 5 on the left
2x/2 > -6/2 ------ divide by 2 to single out the x
x > -3
Remember to draw an open dot. Draw an arrow from -3 to the extreme right.
3x + 5y
Equal it out to zero.
3x + 5y = 0
Lets solve for x first.
3x = -5y
Divide by 3 to get x by itself.
x = -5y/3
Now solve for y.
3x + 5y = 0
Add -3 to both sides.
5y = -3x
Divide both sides by 5.
y = -3/5x
I Sure Hope This Helps!