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Paha777 [63]
2 years ago
13

Write the rule for the nth term of geometric sequence a1=6 and r=3

Mathematics
1 answer:
pychu [463]2 years ago
6 0

Step-by-step explanation:

Hey there!

Given;

a1 = 6

and r = 3

Then;

Let's see, we have a1 "first term" and r "common ratio". So, firstly use the formula.

nth \: term \: of \: geometric \: sries =  {a}^{} . {r}^{n - 1}

Now, keep all values.

nth = 6 \times  {3}^{n - 1}

So, it becomes like this.

Therefore, the rule is nth= 6*3^n-1.

<em>Hope</em><em> </em><em>it </em><em>helps</em><em>!</em>

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The digram repersents a 12cm by 4cm rectangule. Calcute the area of the rectangular,giving the units of your units
brilliants [131]

Answer:

48

Step-by-step explanation:

area of rectangle = lxb

                            = 12 x 4

  •                    = 36 cm^{2}
6 0
2 years ago
HELP I GIVE 15 POINTS
ExtremeBDS [4]

Answer:

Alright well first off you start by converting everything to fractions, but decimals work better for me. So it would be 40.5 and 1.25, 40.5 being miles and the other gas. Divide 40.5 by 1.25, giving you 32.4

<u><em>His car get 32.4 miles per gallon</em></u>

8 0
3 years ago
Find the solution of this system of equations.
Vilka [71]
The answer is (2,0)

Explanation

So I’m gonna use substitution to help me solve this problem. I’m gonna solve for x.

X-y=2

+y. +y

X= y + 2

Now that we have solved for x we are going to plug it into the first equation!
Shown like this


Y+2 - 10y = 2

Then we solve it as a normal problem

So first we combine light terms

-9y+2=2

Then we isolate the variable

-9y+2=2
-2. -2

-9y = 0

Then we divide by -9 on both sides

-9y /-9 = 0 / -9
Y = 0

Now that we solved for y we plug it into one the equations to get the x value!

X - 0 = 2
X=2

The solution is (2,0)

I hope this helped you! Pls mark as brainliest

6 0
3 years ago
Question 1- Whats the derivative of: A) f(x)= 4 cos(x) + ln(x+1)<br> B) f(x)= sec(x) X tg(x)
Kryger [21]

The derivatives for this problem are given as follows:

a) f^{\prime}(x) = -4\sin{x} + \frac{1}{x + 1}

b) f^{\prime}(x) = \sec{x}\tan^{2}{x} + \sec^3{x}.

<h3>What is the derivative of the sum?</h3>

The derivative of the <u>sum is the sum of the derivatives</u>.

In this problem, the function is:

f(x) = 4\cos{x} + \ln{(x + 1)}

Using a derivative table for the derivatives of the cosine and the ln, the derivative of the function is:

f^{\prime}(x) = (4\cos{x})^{\prime} + (\ln{(x + 1)})^{\prime}

f^{\prime}(x) = -4\sin{x} + \frac{1}{x + 1}

What is the product rule?

The derivative of the product is given as follows:

(f(x) \times g(x))^{\prime} = f^{\prime}(x)g(x) + g^{\prime}(x)f(x)

In this problem, we have that:

  • f(x) = \sec{x}, f^{\prime}(x) = \sec{x}\tan{x}.
  • g(x) = \tan{x}, f^{\prime}(x) = \sec^2{x}.

Hence the derivative is:

f^{\prime}(x) = \sec{x}\tan^{2}{x} + \sec^3{x}.

More can be learned about derivatives at brainly.com/question/2256078

#SPJ1

4 0
2 years ago
How to get 6/9 as a decimal using division help
stellarik [79]
The answer is .6666666667
4 0
2 years ago
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