Ask question

Ask question

All categories

2 years ago

13

A sequence can be generated by using an=12an−1, where n is a whole number greater than or equal to 1.

1 answer:

frutty [35]2 years ago

7 0

Answer:

8, 11, 14, 17

Step-by-step explanation:

For example,

Given: an=2an−1−xan=2an−1−x

a5=99a5=99

a3=27a3=27

a5=2a4−x=2(2a3−x)−x=4a3−3x=99a5=2a4−x=2(2a3−x)−x=4a3−3x=99

4(27)−3x=994(27)−3x=993x=108−99=93x=108−99=9

x=3x=3

You might be interested in

Find a and b so that f(x) = x^3 + ax^2 + b will have a critical point at (2,3).

Digiron [165]

Using the critical point concept, it is found that a = -3 and b = 7.

<h3>What are the critical points of a function?</h3>

The critical points of a function are the values of x for which:

$f^{\prime}(x) = 0$

In this problem, the function is:

$f(x) = x^3 + ax^2 + b$

Hence, the derivative is:

$f^{\prime}(x) = 3x^2 + 2ax$

Then:

$f^{\prime}(x) = 0$

$3x^2 + 2ax = 0$

$x(3x + 2a) = 0$

$x = 0$

$3x + 2a = 0$

$3x = -2a$

$x = -\frac{2a}{3}$

Since the critical point is at x = 2, we have that:

$-\frac{2a}{3} = 2$

$-2a = 6$

$2a = -6$

$a = -3$

Then:

$f(x) = x^3 - 3x^2 + b$

Critical point at (2,3) means that when $x = 2, y = 3$ , then:

$3 = 2^3 - 3(2)^2 + b$

$8 - 12 + b = 3$

$b = 7$

You can learn more about the critical point concept at brainly.com/question/2256078

4 0

1 year ago

What is the value of 2 in 5,014,245?

Arlecino [84]

Your reasoning and your answer were both correct. Discuss with the teacher. ("Discuss". DON'T fight.)

6 0

2 years ago

What is the product of (5y-3)^2

Airida [17]

Answer:

$\sf 25y^2-30y+9$

___________

$\sf Solve$

Expand the expression using the factors within the range of <em>y</em>.

___________

5 0

1 year ago

Read 2 more answers

Subject differential equation<br>Day. Month.<br>Year. ..<br>(y-secx<br>) dx + tanxdy...o

Colt1911 [192]

$(y-\sec x)\,\mathrm dx+\tan x\,\mathrm dy=0$

Divide both side by $\mathrm dx$ and rearrange terms to get a linear ODE;

$\tan x\dfrac{\mathrm dy}{\mathrm dx}+y=\sec x$

Multiply both sides by $\cos x$ :

$\sin x\dfrac{\mathrm dy}{\mathrm dx}+\cos x\,y=1$

The left side can be condensed as the derivative of a product:

$\dfrac{\mathrm d}{\mathrm dx}(\sin x\,y)=1$

Integrate both sides, then solve for $y$ :

$\sin x\,y=x+C\implies\boxed{y(x)=x\csc x+C\csc x}$

8 0

2 years ago

6 added to a number n

Salsk061 [2.6K]

Answer:

That is 6 + n

Step-by-step explanation:

6 is added to an unknown number

4 0

2 years ago