What is the next number in the sequence 9....3....1....1/3?
Answers
Answer:
The next number in the sequence is 1/9
Step-by-step explanation:
The sequence you present is a geometric sequence. Geometric sequences are sequences in which successive terms are increases/decreases of an initial number by a common constant factor and are defined as
An= A0*r^(n-1)
The nth term of the sequence is the first term A1 multiplied by a common factor r.
In your problem A1 is 9. The common factor between terms is 1/3 because
9* (1/3) = 9/3= 3
3* (1/3) = 9/3= 1
1* (1/3) = 1/3= 1/3
So the fifth term n= 5 is
An= A0*r^(n-1)
A5=9*(1/3)^(5-1) =9*(1/3)^(4) =9*(1/81)=9/81= 1/9
The answer is 1/9
The next number in the sequence is 1/9.
The sequence provided is 9, 3, 1, 1/3. To identify the pattern and find the next number in the sequence, we observe that each subsequent term is obtained by dividing the previous term by 3.
9 ÷ 3 = 3
3 ÷ 3 = 1
1 ÷ 3 = 1/3
Therefore, the pattern suggests that we should divide the last term, 1/3, by 3 to find the next number:
(1/3) ÷ 3 = 1/9
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A total of 120,000 votes were cast for 2 opposing candidates, Garcia and Pérez. If Garcia won by a ratio of 5 to 3, what was the number of votes cast for Pérez?
Answers
Simplify both sides of the equation
-5/2 x +3/4 x = -3/4
Combine like terms
(-5/2 x + 3/4 x )
-7/4 x = -3/4
-7/4 x = -3/4
Multiply both sides by 4/(-7)
(4/-7)*(-7/4 x ) = (4/-7 ) * ( -3/4 )
x = 3/7
Answers
We can plug in what we know to solve for r
400=4*pi*r^2
100=pi*r^2 (divide out the 4)
100/pi=r^2 (divide out the pi)
√(100/pi)=r (square root of both sides)
r=5.6 rounded to the nearest tenth
Answers
a = 1, b = -6, c = 9
Discriminant = b² - 4ac = (-6)² - 4*1*9 = 36 - 36 = 0
Since the Disciminant, D = 0, the roots are real and equal
Answers
Subtract k from 2k
4 - k - 24 > 0
Add 24 to both sides
4 - k > 24
Subtract 4 from both sides
-k > 28
Divide -1 on both sides while flipping the inequality sign.
Final Answer: k < -28
Answers
, by the number of servings in the box. So, 8 times 12 equals 96, therefore there are 96 crackers in a box.
2 servings = 16 crackers (2 x 8 = 16)
3 servings = 24 crackers (3 x 8 = 24)
12 servings = ? crackers
12 x 8 = 96
The answer is 96 crackers
Find the sum of -240 + 370
Find the sum of -5.7 + (-4.2)
Answers
Answer:
0, 130, -9.9 I think
Step-by-step explanation:
Hope this helped!