Given
- f(n) values for n=1,2,3,4
- possible candidates for the function
Solution:
Method: Evaluate some of the values, for each function. A function with ANY value not matching the given f(n) values will be rejected.
N=1, f(n)=4
f(1)=4-3(1-1)=4
f(1)=4+3^(1+1)=4+3^2=4+9=13 ≠ 4 [rejected]
f(1)=4(3^(n-1))=4(3^0)=4
f(1)=3(4^(n-1))=3(4^0)=3*1=3 [rejected]
N=2, f(n)=12
f(1)=4-3(2-1)=4-3(1)=1 ≠ 12 [rejected]
[rejected]
f(1)=4(3^(2-1)=4*3^1=4*3=12
[rejected]
Will need to check one more to be sure
N=3, f(n)=3
[rejected]
[rejected]
f(3)=4(3^(n-1))=4(3^(3-1))=4(3^2)=4*9=36 [Good]
[rejected]
Solution: f(n)=4(3^(n-1))
Answer:
6
Step-by-step explanation:
STEP
1
:
1
Simplify —
3
The equation at the end of step
1
:
12 1
—— + (((—)2) • 9) • 3)
4 3
STEP
2
:
Equation at the end of step
2
:
12 1
—— + ((—— • 9) • 3)
4 32
STEP
3
:
Canceling Out:
3.1 Canceling out 32 as it appears on both sides of the fraction line
Equation at the end of step
3
:
12
—— + (1 • 3)
4
STEP
4
:
3
Simplify —
1
Equation at the end of step
4
:
3 + 3
STEP
5
:
Pulling out like terms
5.1 Pull out 3
After pulling out, we are left with :
3 • ( 1 - (-1) ))
Final result :
6
Answer:
A or B
Step-by-step explanation:
Answer:
radius: DF (it is a line segment drawn from the center of the circle to any point on the circle)
diameter: AC ( it is a straight line passing through the center of the circle and intersecting the circle at two distinct points)
chord : AB ( it is a line segment joining any two points on the circle)
Answer:
-22
Step-by-step explanation:
18 + 4 = 22
then just add the negative to 22
-22