Answer:
b is a correct answer
Step-by-step explanation:
that is correct and right answer.
The sequence 3/4, 4/5, 5/6, 6/7, . . . is diverges option (A) The sequence diverges is correct.
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 get closer and closer to a certain number.
The sequence can be defined as the systematic way of representing the data that follows a certain rule of arithmetic.
It is given that:
The sequence:
3/4, 4/5, 5/6, 6/7, . . .
AS we know, the convergent sequence occurs when, as n approaches infinity, you arrive at a final and constant term through a number of terms.
Divergent sequences are those in which the terms never stabilize; instead, they constantly increase or decrease as n approaches infinity, approaching either infinity or -infinity.
The nth term of the sequence
a(n) = 2+n/3+n
Applying divergence test:
The sequence diverges
Thus, the sequence 3/4, 4/5, 5/6, 6/7, . . . is diverges option (A) The sequence diverges is correct.
Learn more about the convergent of a series here:
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