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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The wander is B=3y the way to figure that out is by adding each of the numbers together
Answer:
D.
Step-by-step explanation:
that is the answer to the question above
Answer:
6m -11n
Step-by-step explanation:
Answer:
Amount the watch normally costs: w
Amount if the discount: 0.3w
Percent decrease of the discount, as a decimal: 0.3
Percent of the normal cost that Chad paid, as a decimal: 0.7