Mathematics, 24.03.2020 21:46 toxsicity

Which function forms a geometric sequence when x = 1, 2, 3, . . . ?
f(x) = 3(4)x
f(x) = 3(x)2
f(x) = 2x + 4
f(x)= x + (2)4

Answers: 2

Show answers

Answers

Answer from: sophx

$a) f(x)=3(4)^{x}$

Step-by-step explanation:

The correct options are:

$a) f(x)=3(4)^{x}$

$b) f(x)=3(x)^{2}$

c) f(x)=2x+4

$d) f(x)=x+(2)^{4}$

We have to identify which of these options will form a geometric sequence. A geometric sequence is defined as the sequence in which the ratio of two consecutive terms remain the same. This ratio is known as common ratio of the sequence. General term of a geometric sequence is defined as:

$a_{n}=a_{1}(r)^{n-1}$

Here,

$a_{n}$ is the nth term of the sequence. Replacing n by different values will give us the term of the sequence at that values.

The option resembling the general term of the geometric sequence is option a, with only difference that in place on "n", the variable x is used in the option. So option a should be our answer. Lets verify this.

$f(x)=3(4)^{x}$

For x = 1, the value will be:

f(1) = 12

For x = 2, the value will be:

f(2) = 48

For x =3, the value will be:

f(3) = 192

The ratio of these terms is:

Ratio of f(2) and f(1) = 4

Ratio of f(3) and f(2) = 4

Therefore, the function given in option a represents a geometric sequence.

Answer from: Quest

introduction, methodology, results, discussion

step-by-step explanation:

an observational study is one which consists of actual observation to record data and then analyse the data.

there are a number of factors that should be analyzed before starting an observational study.

the main four factors are:

i) introduction: this should be analysed to check whether the purpose of the study is correctly established and the data recorded are appropriate for the study

methodology: the method of collecting the data, such as whether randomly selected, and whether sample size matches with the population to be studied, whether questions asked are easy to answer by common men, etc.

results: then results such as summary of data with comments should be studied thoroughly

discussion: the last is the discussion, this can be either by management people or persons who are all interested , etc.

Answer from: Quest

Hey dear, hoping i'll be

Another question on Mathematics

Mathematics, 21.06.2019 16:30

What is the equation of a vertical line passing through the point (−5, −1)? y = −5 y = −1 x = −5 x = −1

Answers: 2

Answer

Mathematics, 21.06.2019 19:00

Rob spent 25%, percent more time on his research project than he had planned. he spent an extra h hours on the project. which of the following expressions could represent the number of hours rob actually spent on the project? two answers

Answers: 3

Answer

Mathematics, 22.06.2019 00:00

Apolygon is shown on the graph: a polygon is shown on the coordinate plane. vertices are located at 3 comma 5, 1 comma 3, 1 comma 1, 2 comma 0, 4 comma 0, 5 comma 1, and 5 comma 3. what effect will a translation 3 units down and 2 units left have on the polygon? be sure to address how it could impact the angles, side lengths, and congruency between the original pre-image and the image. xd i need

Answers: 3

Answer

Mathematics, 22.06.2019 00:00

Afair survey question is one that does not encourage biased responses. which survey question is fair? a.) do you agree that only unethical people take credit for other people’s work? b.) have you ever taken credit for somebody else’s work? c.) have you ever engaged in unethical behavior, such as taking credit for somebody else’s work? d.) don’t you think it is unethical to take credit for somebody else’s work?

Answers: 1

Answer

You know the right answer?

Which function forms a geometric sequence when x = 1, 2, 3, . . . ?
f(x) = 3(4)x
f(x) =...

Questions