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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Answer:
x = 2
Step-by-step explanation:
To simplify the given equation:
(15/x - 5) - 5 = (21/x - 6) - 7
First, let's simplify the algebraic expressions within the parentheses.
(15/x - 10) = (21/x - 13)
Now, let's multiply both sides of the equation by the common denominator, which is x.
x * (15/x - 10) = x * (21/x - 13)
This simplifies to:
15 - 10x = 21 - 13x
Next, let's combine like terms.
-10x + 15 = -13x + 21
Adding 10x to both sides of the equation:
15 = -3x + 21
Now, subtract 21 from both sides of the equation:
15 - 21 = -3x
-6 = -3x
Finally, divide both sides by -3 to solve for x:
x = -6 / -3
Simplifying the expression, we find:
A. 11
B. 3
C. -17
D. -1