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2 years ago

What is the recursive formula of the geometric sequence? 1, 5, 25, 125, 625, ...

Mathematics

1 answer:

Ilia_Sergeevich [38]2 years ago

4 0

The recursive formula of the geometric sequence is given by option D; an = (1) × (5)^(n - 1) for n ≥ 1

<h3>How to determine recursive formula of a geometric sequence?</h3>

Given: 1, 5, 25, 125, 625, ...

first term, a = 1

Common ratio, r = 25/5

= 5

n = number of terms

an = a × r^(n - 1)

= 1 × 5^(n - 1)

an = (1) × (5)^(n - 1) for n ≥ 1

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Find the mean, variance, and standard deviation of the binomial distribution with the given values of n and p. , The mean, ,

klemol [59]

Complete Question

Find the mean, variance, and standard deviation of the binomial distribution with the given values of n and p. , The mean, , is nothing. (Round to the nearest tenth as needed.)

p = 0.6 n = 18

Answer:

The mean $\mu = 10.5$

The standard deviation $\sigma = 2.08$

The variance $var = 4.32$

Step-by-step explanation:

From the question we are told that

The probability of success is $p = 0.6$

The sample size is $n = 18$

Generally given that the distribution is binomial, then the probability of failure is mathematically represented as

$q = 1- p$

substituting values

$q = 1- 0.6$

$q =0.4$

Generally the mean is mathematically evaluated as

$\mu = np$

substituting values

$\mu = 18 * 0.6$

$\mu = 10.5$

The standard deviation is evaluated as

$\sigma = \sqrt{npq}$

substituting values

$\sigma = \sqrt{18 * 0.6 * 0.4}$

$\sigma = 2.08$

The variance is evaluated as

$var = \sigma^2$

substituting value

$var = 2.08^2$

$var = 4.32$

4 0

3 years ago

Simplify the following expression. 4a^-2b<br><br> A.) b/4a^2<br> B.)4b/a^2<br> C.)1/4a^b2

Sergio [31]

ANSWER

The correct answer is B

$\frac{4b}{ {a}^{2} }$

EXPLANATION

The given exponential expression is

$4 {a}^{ - 2} b$

We can rewrite this as,

$4b \times {a}^{ - 2}$

We need to simplify to obtain a positive index, so we apply the following property,

${a}^{ - m} = \frac{1}{ {a}^{m} }$

This implies that,

$4b \times {a}^{ - 2} = 4b \times \frac{1}{ {a}^{2} }$

This will finally simplify to,

$4b \times {a}^{ - 2} =\frac{4b}{ {a}^{2} }$

Therefore the correct answer is B

6 0

3 years ago

Read 2 more answers

Write 2.71x10-3 as an ordinary number.

Katyanochek1 [597]

Step-by-step explanation:

${2.71 \times 10}^{ - 3}$

This can be rewritten as

$2.71 \times \frac{1}{10^{3} }$

If we will solve this way,

$\frac{2.71}{1000} = 0.00271$

But since the denominator is just in terms of 1, we can just simply get the (-3). Note that we have to take the negative into consideration.

From the original position of the decimal point, move the decimal point 3 times TO THE LEFT. Therefore, from 2.71 we move the decimal point 3 times to the left, 0.00271.

If the exponent has a positive value, move TO THE RIGHT.

For example,

$2.71 \times {10}^{3} = 2.71 \times 1000 \\ = 2710$

Note that the exponent has a positive value. Therefore, we have to move the decimal point 3 times TO THE RIGHT. Producing 2710 as the answer.

5 0

3 years ago

James has a 6-ft board that is 24 in. wide. He wants to cut it into five pieces to make a small bookshelf with two shelves. The

Elodia [21]

Answer:

width=x, length = y

(in ft)

3x + 2y = 6y>x

y = 1.5 , x= 1

1ft = 12 in 1.5ft = 18in

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2 years ago

16pts for help with this math question

diamong [38]

Y=76 x-18
should be the anwer.

6 0

3 years ago

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