3 years ago

30% of what number is 33?

Mathematics

1 answer:

Stella [2.4K]3 years ago

6 0

110 is the answer to that

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Represent the geometric series using the explicit formula.

Dennis_Churaev [7]

The correct answer is:

b.) f(n) = 3 • (-2)^(n-1)

Further explanation:

Given sequence is:

3, -6, 12, -24, ...

We have to find the common ratio first.

Common ratio is the ratio between two consecutive terms of a geometric sequence.

It is denoted by r.

So,

$Here,\\a_1=3\\a_2=-6\\a_3=12\\a_4=-24\\r=\frac{a_2}{a_1}=\frac{-6}{3}=-2\\\frac{a_3}{a_2}=\frac{12}{-6}=-2$

General formula for geometric sequence is:

$a_n=a_1r^{n-1}\\Here\\a_n\ is\ the\ nth\ term\\a_1\ is\ the\ first\ term\\and\\r\ is\ common\ ratio$

Putting the values of a1 and r

$a_n=3.(-2)^{n-1}\\f(n)=3.(-2)^{n-1}$

Hence,

The correct answer is:

b.) f(n) = 3 • (-2)^(n-1)

Keywords: Geometric Sequence, Explicit formula

Learn more about geometric sequence at:

#LearnwithBrainly

7 0

4 years ago

I need help with this problem :)

klasskru [66]

Answer:

$48 \times \frac{8}{2} 6$

3 0

3 years ago

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Factor n^3 - n^2 + 3n - 3.

lozanna [386]

N^2(n - 1) + 3(n - 1)

(n^2 + 3)(n - 1)

the answer is c

5 0

3 years ago

1/2x-2/3>3 enter your answer using interval notation

Nata [24]

So basically u keep the x on one side and the rest on the other. Get a common denominator. to get rid of the half u times both sides by 2.
hope this helps

7 0

3 years ago

1 -3,45<br> Rational or irrational

Naddik [55]

Answer: rational

Step-by-step explanation:

A rational number is a number that can be expressed as a fraction. Hence 1-3.45 = - 2.45 which is - 49/20 as a fraction

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3 years ago

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30% of what number is 33? ​

30% of what number is 33?