Ask question

Ask question

All categories

3 years ago

13

if a sequence is defined recursively by f(0)=4 and f(n+1)= -3f(n+1)=-3f(n)+1 for n≥0, then f(3) is equal to? DESPERATELY NEED HE

LPPPP

1 answer:

muminat3 years ago

5 0

f(3) is equal to -101.

<u>Step-by-step explanation</u>:

The sequence is followed by f(0)=4
The given expression is f(n+1)= -3f(n)+1

Put n=0,

f(0+1)= -3f(0)+1

f(1)= -3(4)+1

f(1)= -12+1 = -11

Put n=1,

f(1+1)= -3f(1)+1

f(2)= -3(-11)+1

f(2)= 33+1 = 34

Put n=2,

f(2+1)= -3f(2)+1

f(3)= -3(34)+1

f(3)= -102+1

f(3)= -101

You might be interested in

Parker bought a 15-year treasury bond for a face amount of $400. The 3.5% interest will be compounded quarterly. What will the f

MArishka [77]

If you're behind like I am and are just now doing these assignments then good luck on catching up.

If it's AQRB Unit 2 Lesson 3 then the answers to the multiple choice are below, you'll need to do the essay and calculation on your own.

1: $674.64
2: $26, 255.38
3: $191, 398.49
4: $23, 884.84

6 0

3 years ago

Recall from Intermediate Algebra that two non-vertical lines are perpendicular if and only if they have negative reciprocal slop

OLEGan [10]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The line is $y = -4 x$

Step-by-step explanation:

From the question we are told that

The line is $y = \frac{1}{4} x + 8$

The point is P(0,0 )

Generally the equation for a line is $yn = mx + c$

Now comparing this with the given equation we see that

$m =\frac{1}{4} = slope$

$C =8 = intercept$

Generally the slope of the perpendicular to the given line is mathematically evaluated as

$m_1 = - \frac{1}{m}$

=> $m_1 = - \frac{1}{ \frac{1}{4}}$

=> $m_1 = -4$

Generally from the univesal equation of a line and the given point we have that

y = mx + c at p(0,0) and $m_1 = -4$ is

0 = -4 (0 ) + c

=> c = 0

Hence the equation perpendicular to the line given at the point given is

$y = -4 x$

8 0

3 years ago

Find the difference between 7 1/2 and 2 3/4

NNADVOKAT [17]

Answer:

4 $\frac{3}{4}$ or 4.75

Step-by-step explanation:

first we're going to convert the number into improper fractions.

7 $\frac{1}{2}$ = $\frac{15}{2}$ and 2 $\frac{3}{4}$ = $\frac{11}{4}$

For subtracting it is suitable to adjust both fractions to an equal denominator, so we're going to multiply $\frac{15}{2}$ x2, it'll equal the same number.

So now we have $\frac{30}{4}$ - $\frac{11}{4}$ , 30-11= 19.

$\frac{19}4}$ simplified is, 4 $\frac{3}{4}$ .

As you can see I also added 4.75 as an answer, that's if the answer must be a decimal.

I hope this helps you!

3 0

3 years ago

g A researcher wants to construct a 95% confidence interval for the proportion of children aged 8-10 living in Atlanta who own a

Helga [31]

Answer:

The sample size needed is 2401.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

The margin of error of the interval is:

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

95% confidence level

So $\alpha = 0.05$ , z is the value of Z that has a pvalue of $1 - \frac{0.05}{2} = 0.975$ , so $Z = 1.96$ .

Estimate the sample size needed if no estimate of p is available so that the confidence interval will have a margin of error of 0.02.

We have to find n, for which M = 0.02.

There is no estimate of p available, so we use $\pi = 0.5$

$M = z\sqrt{\frac{\pi(1-\pi)}{n}}$

$0.02 = 1.96\sqrt{\frac{0.5*0.5}{n}}$

$0.02\sqrt{n} = 1.96*0.5$

$\sqrt{n} = \frac{1.96*0.5}{0.02}$

$(\sqrt{n})^{2} = (\frac{1.96*0.5}{0.02})^{2}$

$n = 2401$

The sample size needed is 2401.

7 0

3 years ago

Read 2 more answers

The sum of 3 consecutive even numbers of 78

Jet001 [13]

26, 24, 28 could be the answer

3 0

3 years ago

Read 2 more answers