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3 years ago

What is the sum of the geometric sequence 3,12,48... if there are 8 terms?

Mathematics

1 answer:

s344n2d4d5 [400]3 years ago

6 0

Answer:

C) 65,535

Step-by-step explanation:

You can add up the 8 terms ...

3, 12, 48, 192, 768, 3072, 12288, 49152

to find their sum is 65535.

_____

Estimating

Knowing the last term (49152) allows you to make the correct choice, since the sum will be more than that and less than double that.

_____

Using the formula

You know the formula for the sum of a geometric sequence is ...

S = a1(r^n -1)/(r -1)

where a1 is the first term (3), r is the common ratio (4), and n is the number of terms (8).

Filling in the values, you find the sum is ...

S = 3(4^8 -1)/(4-1) = 4^8 -1 = 65535

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Bonjour à tous, pouvez vous m'aider à trouver la réponse pour cette "question ouverte" svp?

AlekseyPX

La solution:

625 cm^2.

Explication étape par étape:

Si la forme est rectangulaire, elle aura la plus grande superficie possible quand la longueur équivaut à la largeur. Pour avoir un périmètre de 100 cm, cela signifie que chaque côté doit faire 25 cm.

La superficie serait alors de 25 cm x 25 cm = 625 cm^2.

8 0

2 years ago

Help me someone pleaseee

quester [9]

OOF that looks hard...

6 0

3 years ago

Donatello Co. has identified an activity cost pool to which it has allocated estimated overhead of $9,600,000. It has determined

ahrayia [7]

Answer:

option (a) Widgets $2,400,000, Gadgets $1,800,000, Targets $5,400,000

Step-by-step explanation:

Data provided in the question:

Allocated estimated overhead = $9,600,000

Expected use of cost drivers for the activity = 800,000 inspections.

Inspections required by Widgets = 200,000

Inspections required by Gadgets = 150,000

Inspections required by Targets = 450,000

Therefore,

Total overhead per activity = $\frac{\textup{estimated overhead}}{\textup{Total activity}}$

= $\frac{\textup{9,600,000}}{\textup{800,000 }}$

= $12 per activity

Thus,

Overhead allocated to Widgets = 200,000 × 12 = $2,400,000

Overhead allocated to Gadgets = 150,000 × 12 = $1,800,000

Overhead allocated to Target = 450,000 × 12 = $5,400,000

Hence, The correct answer is option (a)

8 0

2 years ago

Which r–value represents the strongest negative correlation? –0.7 –0.22 0.38 0.9

inn [45]

Answer:

Option A is correct.

The value of r = -0.7 represents the strongest negative correlation.

Step-by-step explanation:

A correlation is a value that describes a relationship between two things or variables.

Strongest Negative Correlation says that closer a negative correlation to -1, the stronger the relationship between the two variables.

From the options, we have only two negative values i.e, r= -0.7 and r= -0.22.

We have to find the strongest negative correlation r-value.

By the definition, you can see that -0.7 is very closer to -1 ,

therefore, the value of r = -0.7 represents the strongest negative correlation.

3 0

3 years ago

Read 2 more answers

Which statement identifies the effect of replacing h(x) with h(-x) on the graph?

Bond [772]

Answer:

No.C(The curve would remain same size but would be flipped upside down.)

5 0

2 years ago