Consider the sequence 1, –3, 9, –27, 81, … Which statement describes the sequence?

Mathematics

2 answers:

ludmilkaskok [199]3 years ago

8 0

Answer:

There is a similar problem with the same numbers except with no negatives so it goes 1 , 3 , 9 , 27, 81 for this question the answer is that it diverges.

Step-by-step explanation:

It was on the unit test review for edge and the answer was that it diverges.

Maru [420]3 years ago

7 0

Answer:

The sequence diverges.

Step-by-step explanation:

• The given sequence is;

1, –3, 9, –27, 81,...

• Now, from the sequence above, we can see that each number is multiplied by -3 to get the next one in the sequence.

In mathematics as seen in this link;

•www.mathsisfun.com/definitions/diverge.html

• From the link quoted above, A divergent sequence is one in which the values are approaching an infinite value which could either be positive or negative whereas if it is a convergent sequence it will be approaching 0.

• In this sequence given, we can see that the values are increasing to either positive or negative and as such it will keep changing till an infinite positive or negative value which corresponds with the definition of a divergent sequence in the link quoted earlier.

• Thus, the sequence is a divergent one.

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Please anyone answer me

ollegr [7]

Let's divide the shaded region into two areas:

area 1: x = 0 ---> x = 2

ares 2: x = 2 ---> x = 4

In area 1, we need to find the area under g(x) = x and in area 2, we need to find the area between g(x) = x and f(x) = (x - 2)^2. Now let's set up the integrals needed to find the areas.

Area 1:

$A\frac{}{1} = ∫g(x)dx = ∫xdx = \frac{1}{2} {x}^{2} | \frac{2}{0} = 2$