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butalik [34]
3 years ago
7

Find the sixth term of the geometric sequence 9, -27, 81, a6

Mathematics
1 answer:
Crank3 years ago
8 0

Answer:

The sixth term of the sequence = <em>-234</em>

Step-by-step explanation:

The formula of a geometric sequence is:

<em>aₙ = a₁ + r⁽ⁿ⁻¹⁾</em>

Where;

aₙ = the term value

n = the term that has to be found out

a₁ = first term in the sequence

r = common ration

Here in this situation:

aₙ = unknown

n = 6

a₁ = 9

r = -3

Therefore the solution would be:

a₆ = 9 + (-3)⁶⁻¹

a₆ = 9 + (-3)⁵

a₆ = 9 + (-243)

a₆ = -234

Therefore <u>the sixth term of the sequence would be: -234</u>

Hope this helps!

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Sauron [17]

Answer:

Choice C:   m=\frac{1}{2}; y=\frac{1}{2} x+4

Step-by-step explanation:

To find your slope do:

\frac{y^2-y^1}{x^2-x^1}

\frac{3-4}{-2-0}=\frac{-1}{-2} =\frac{1}{2}

that's how you get 1/2

4 is just the y-int.

6 0
2 years ago
What is the solution for the equation -15=5(3y-10)-5y
marissa [1.9K]

Answer:

  • \Large\boxed{\sf{y=\dfrac{7}{2} }}

Step-by-step explanation:

Isolate the variable of y from one side of the equation.

-14=5(3y-10)-5y

<u>First, switch sides.</u>

\sf{5\left(3y-10\right)-5y=-15}

Use the distributive property.

<u>DISTRIBUTIVE PROPERTY:</u>

A(B-C)=AB-AC

5(3y-10)

Multiply by expand.

5*3y=15y

5*10=50

15y-50-5y

15y-5=10y

= 10y-50

10y-50=-15

Add by 50 from both sides.

10y-50+50=-15+50

Solve.

10y=35

Then, you divide by 10 from both sides.

10y/10=35/10

Solve.

Divide the numbers from left to right.

35/10=7/2

y=7/2

Divide is another option.

7/2=3.5

\Longrightarrow: \boxed{\sf{y=\dfrac{7}{2}}}

  • <u>Therefore, the correct answer is y=7/2.</u>

I hope this helps. Let me know if you have any questions.

7 0
2 years ago
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Answer:

Associative and Commutative properties

Step-by-step explanation:

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Mamont248 [21]

Answer:

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Step-by-step explanation:

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anygoal [31]
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