The sequence diverges because the value of the absolute common ratio r is greater than the 1.
<h3>What is convergent of a series?</h3>
A series is convergent if the series of its partial sums approaches a limit; that really is, when the values are added one after the other in the order defined by the numbers, the partial sums getting closer and closer to a certain number.
We have series:
9, 27, 81, 243....
The above series is a geometric progression with common ratio r is 3
r = 3
We know the formula for a geometric sequence:
A geometric series converges only if the absolute value of the common ratio:
r < 1 and
It diverges if the ratio ≥ 1
Here the value of r = 3 which is greater than the 1 so the sequence diverges.
Thus, the sequence diverges because the value of the absolute common ratio r is greater than the 1.
Learn more about the convergent of a series here:
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We have the following function:
f (x) = 4 * ((81) ^ (1/3)) ^ x
We observed that:
(81) ^ (1/3) = 4.326748711> 1
Therefore the function grows as it increases and decreases as x decreases.
We have then:
Domain: all reals.
Range: all reals greater than zero.
Answer:
A) {x | x is a real number}; {y | y> 0}
Answer:
92°
Step-by-step explanation:
The exterior angle is equal to the sum of the 2 opposite interior angles, that is
2x - 2 = x + 45 ( subtract x from both sides )
x - 2 = 45 ( add 2 to both sides )
x = 47
Then
exterior angle = 2x - 2 = 2(47) - 2 = 94 - 2 = 92°
Answer: this is what i got hope this helped i took a sceernshot of it
Step-by-step explanation:
ples make brainly
I believe the answer should be D hope it helped