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2 years ago

What is the next term of the geometric sequence? 4/9,-4/3,4,...

Mathematics

2 answers:

Wittaler [7]2 years ago

6 0

Answer: 9 is the answer

Step-by-step explanation:

Gnesinka [82]2 years ago

3 0

Answer:

- 12

Step-by-step explanation:

This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by

−

gives the next term. In other words,

⋅

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Geometric Sequence:

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This is the form of a geometric sequence.

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Substitute in the values of

and

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(

)

⋅

(

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)

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Combine

and

(

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)

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(

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)

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Substitute in the value of

to find the

th term.

(

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)

(

)

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Simplify the numerator.

Tap for more steps...

⋅

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Simplify the expression.

Tap for more steps...

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Evaluate.<br> 13[42–(2+4)]

german

Answer:

468

Step-by-step explanation:

=13[42-6]

=13 (36)

=13×36

=468

6 0

2 years ago

If the sum of a number and four is tripled the result is eight less than twice the number

Drupady [299]

Answer:

The number is -20.

Step-by-step explanation:

If x is the number, then 3(x+4)=2x-8.

3x+12=2x-8

x=-20

5 0

2 years ago

Read 2 more answers

SOMEONE HELP ME IM FREAKING OUT I LITERALLY CANT WITH THIS QUESTION IM PRAYING PLEASE HELP ME IM SO SERIOUS IM GONNA END IT PLS

antiseptic1488 [7]

Answer:

$\sf -11+7\sqrt{2}$

Step-by-step explanation:

Given expression:

$\sf \dfrac{3-\sqrt{32}}{1+\sqrt{2} }$

Rewrite 32 as 16 · 2:

$\sf \implies \dfrac{3-\sqrt{16 \cdot 2}}{1+\sqrt{2} }$

Apply radical rule $\sf \sqrt{a \cdot b}=\sqrt{a}\sqrt{b}$

$\sf \implies \dfrac{3-\sqrt{16}\sqrt{2}}{1+\sqrt{2} }$

As $\sf \sqrt{16}=4$ :

$\sf \implies \dfrac{3-4\sqrt{2}}{1+\sqrt{2} }$

Multiply by the conjugate:

$\sf \implies \dfrac{3-4\sqrt{2}}{1+\sqrt{2} } \times \dfrac{1-\sqrt{2} }{1-\sqrt{2} }$

$\sf \implies \dfrac{(3-4\sqrt{2})(1-\sqrt{2})}{(1+\sqrt{2})(1-\sqrt{2})}$

$\sf \implies \dfrac{3-3\sqrt{2}-4\sqrt{2}+4\sqrt{2}\sqrt{2}}{1-\sqrt{2}+\sqrt{2}-\sqrt{2}\sqrt{2}}$

As $\sf \sqrt{2}\sqrt{2}=\sqrt{4}=2$ :

$\sf \implies \dfrac{3-3\sqrt{2}-4\sqrt{2}+4 \cdot 2}{1-\sqrt{2}+\sqrt{2}-2}$

$\sf \implies \dfrac{3-7\sqrt{2}+8}{1-2}$

$\sf \implies \dfrac{11-7\sqrt{2}}{-1}$

$\sf \implies -11+7\sqrt{2}$

7 0

1 year ago

Describe and give an example of a rational and irrational number, plot points on a number line, simplify expressions and estimat

sergij07 [2.7K]

Answer:

Some of the top causes of poverty around the world :

Inadequate access to clean water and nutritious food.

Little or no access to livelihoods or jobs.

Conflict.

Inequality.

Poor education.

Climate change.

Lack of infrastructure.

Limited capacity of the government❥

Step-by-step explanation:

i hope it help you

5 0

2 years ago

How fast is the minivan traveling in miles per minute

s2008m [1.1K]

The van is traveling about 55.9 miles per hour.

7 0

2 years ago

What is the next term of the geometric sequence? 4/9,-4/3,4,... ​

What is the next term of the geometric sequence? 4/9,-4/3,4,...