Ask question

Ask question

All categories

3 years ago

8

What is the 4th term in the sequence b(n)=1(-2)^n-1

1 answer:

marishachu [46]3 years ago

7 0

Answer:

<h2>The answer is 8</h2>

Step-by-step explanation:

From the question the formula for the sequence is

$b(n) = 1 ({ - 2})^{n - 1}$

where

n is the nth term in the sequence

Since we are finding the 4th term n = 4

Substitute this value of n into the above formula

That's

$b(4) = 1 ({ - 2})^{4 - 1} \\ = 1 ({ - 2})^{3} \\ = { - 2}^{3}$

We have the final answer as

<h3>8</h3>

Hope this helps you

You might be interested in

Write the equation of a circle with a center at (1, 4) where a point on the circle is (4, 8).

mina [271]

Notice the picture below

$\bf \textit{equation of a circle}\\\\
(x-{{ h}})^2+(y-{{ k}})^2={{ r}}^2
\qquad center\ ({{ h}},{{ k}})\qquad
radius={{ r}}\\\\
-----------------------------\\\\
\textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ 1}}\quad ,&{{ 4}})\quad 
% (c,d)
&({{ 4}}\quad ,&{{ 8}})
\end{array}\qquad 
% distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}\leftarrow r$

you have the center, the h,k, all you really need is the radius "r"

5 0

2 years ago

Definition: This type of factory and mill was common in the American South at the start of the 20th

LUCKY_DIMON [66]

Answer:

Textile

Step-by-step explanation:

5 0

3 years ago

I am between 24 and 34 . you say my name when you count by twos from zero. you say my name when you count by fives from zero. wh

jonny [76]

The answer is 30

2 * 15 = 30
5 * 6 = 30
30 is between 24 and 34

4 0

3 years ago

Find the probability of each event.

jeka57 [31]

Using the binomial distribution, it is found that there is a 0.0108 = 1.08% probability of the coin landing tails up at least nine times.

<h3>What is the binomial distribution formula?</h3>

The formula is:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$C_{n,x} = \frac{n!}{x!(n-x)!}$

The parameters are:

x is the number of successes.

n is the number of trials.

p is the probability of a success on a single trial.

In this problem:

The coin is fair, hence p = 0.5.

The coin is tossed 10 times, hence n = 10.

The probability that is lands tails up at least nine times is given by:

$P(X \geq 9) = P(X = 9) + P(X = 10)$

In which:

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 9) = C_{10,9}.(0.5)^{9}.(0.5)^{1} = 0.0098$

$P(X = 10) = C_{10,10}.(0.5)^{10}.(0.5)^{0} = 0.001$

Hence:

$P(X \geq 9) = P(X = 9) + P(X = 10) = 0.0098 + 0.001 = 0.0108$

0.0108 = 1.08% probability of the coin landing tails up at least nine times.

More can be learned about the binomial distribution at brainly.com/question/24863377

#SPJ1

5 0

1 year ago

What is the area of this shape?<br><br> PLEASE HELP!

Andrej [43]

Answer: 5

Step-by-step explanation:

1+1+1+1+1

3 0

2 years ago

Read 2 more answers