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dexar [7]
3 years ago
8

Consider the sequence 1, 4, 16, 64, 128, … Which statement describes the sequence? The sequence diverges. The sequence converges

to 0. The sequence converges to [infinity]. The sequence converges to –[infinity].
Mathematics
1 answer:
vagabundo [1.1K]3 years ago
5 0

Answer:

The sequence diverges

Step-by-step explanation:

The given sequence is 1, 4, 15, 64, 128, ...

By observation the sequence can be expressed as a sequence of 4 raised to increasing powers of 'x' as follows;

The sequence is 4ˣ, where; x = 0, 1, 2, 3, 4, ..., ∞

Therefore, the values of each subsequent term of the sequent is higher than the term it succeeds, the sequence does not converge to a given limit value and therefore, the sequence diverges.

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In ΔXYZ, y = 53 inches, z = 55 inches and ∠X=120°. Find the length of x, to the nearest inch.
djverab [1.8K]

Answer: 94

Step-by-step explanation:

4 0
3 years ago
Scientist are studying a bacteria sample. The function f(x)=360(1.07)^x gives the number of bacteria in the sample at the end of
Lapatulllka [165]

Options :

A. The initial number of bacteria is 7.

B. The initial of bacteria decreases at a rate of 93% each day.

C. The number of bacteria increases at a rate of 7% each day.

D. The number of bacteria at the end of one day is 360.

Answer:

C. The number of bacteria increases at a rate of 7% each day.

Step-by-step explanation:

Given the function :

f(x)=360(1.07)^x ; Number of bacteria in sample at the end of x days :

The function above represents an exponential growth function :

With the general form ; Ab^x

Where A = initial amount ;

b = growth rate

x = time

For the function :

A = initial amount of bacteria = 360

b = growth rate = (1 + r) = 1.07

If ; (1 + r) = 1.07 ; we can solve for r to obtain the daily growth rate ;

1 + r = 1.07

r = 1.07 - 1

r = 0.07

r as a percentage ;

0.07 * 100% = 7%

7 0
2 years ago
Multiplying a number by its reciprocal always results in a product of 1. What number must be multiplied by 3 23 to create a prod
natima [27]
I got 323 I hope u have a good day
8 0
2 years ago
A bag contains 4 red marbles, 8 green marbles, and 6 yellow marbles. If Jack takes one marble out of the bag without looking, wh
skelet666 [1.2K]
I already answered that question, here's the link: brainly.com/question/10534199.

But if you still want the explanation, here it is:

"So if we want to measure probability, you have to add, then divide, like this:

First 4+8+6, which gives us 18.

Then we see, that 6 is 1/3 of 18, so we conclude. The answer is 33.33%.

Hope this helped!
"
7 0
3 years ago
Need some help................
Diano4ka-milaya [45]

Answer:

its option B: r=(3xy)/(x-2y)

6 0
3 years ago
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