Answer:
Option (B)
Step-by-step explanation:
Given sequence is 45, 135, 405, 1215, 3645..........
Since it's a geometric sequence,
Common ratio of each successive term to the previous term
r = 
First term of the sequence 'a' = 45
Explicit formula of a geometric sequence will be,


Recursive formula of this sequence will be,
, 
Therefore, Option (B) will be the answer.
Answer: x=15
Step-by-step explanation: Let's solve your equation step-by-step.
x+
1
/2
(x−5)=20
Step 1: Simplify both sides of the equation.
x+
1
/2
(x−5)=20
x+(
1
/2
)(x)+(
1
/2
)(−5)=20(Distribute)
x+
1
/2
x+ −5
/2
=20
(x+
1
/2
x)+(
−5
/2
)=20(Combine Like Terms)
3
/2
x + −5
/2
=20
3
/2
x + −5
/2
=20
Step 2: Add 5/2 to both sides.
3
/2
x + −5
/2 + 5
/2
=20+
5
/2
3
/2
x= 45
/2
Step 3: Multiply both sides by 2/3.
(
2
/3
)*(
3
/2
x)=(
2
/3
)*(
45
/2
)
x=15
A school custodian waxed a gymnasium floor that measured 20 feet by 20 feet. How many square feet did she have to wax?
If it's 20 feet * 20 feet = to
400 sq.ft
Hope this helps!
-46=3x+7x
-46=10x
X= 10/(-46)
X=-5/23
Therefore, the equation only has one solution