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2 years ago

07

Mathematics

1 answer:

mr_godi [17]2 years ago

4 0

Answer:

-1536

Step-by-step explanation:

By taking the general formula for the geometric sequence, we substitute the variables with the values of our sequence, finding -1536 as the 11th term

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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

3 years ago

The number of calories is correlated with the amount of vitamin c

Elza [17]

Step-by-step explanation:

World's Healthiest Foods rich in

vitamin C

Food calories

Papaya119224%

Bell Peppers29157%

Broccoli55135%

Brussels Sprouts56129%

Strawberries46113%

Pineapple83105%

Oranges6293%

Kiwifruit4285%

Cantaloupe5478%

Cauliflower2973%

4 0

3 years ago

Joeli has 10 quarters. She wants to buy postcards to mail to her friends. Each postcard costs 2 quarters. How many postcards can

Arada [10]

5 post cards because its 10 divided by 2

3 0

3 years ago

Read 2 more answers

Which statements are correct about the two way frequency table? Check all that apply. The table displays quantitative data, the

Andreyy89

Answer:

A the table display qualitative data, C two teachers do not wear glasses, E a total of 6 teachers were polled

7 0

3 years ago

Read 2 more answers

A tree initially measured 3812 feet tall. Over the next 512 years, it grew to a final height of 4912 feet. During those 512 year

Arlecino [84]

Answer:

2 feet per year

Step-by-step explanation:

I think you meant 38 1/2

and 5 1/2

but if you didn't then its

2.1484375

because

4912-3812=1100

1100÷512= 2.1484375

3 0

3 years ago