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2 years ago

Find a formula for geometric series that begins with 28, 98, 343,...

Mathematics

1 answer:

otez555 [7]2 years ago

6 0

Answer:

Step-by-step explanation:

In a geometric series, the successive terms differ by a common ratio which is determined by dividing a term by the preceding term.

The formula for determining the nth term of a geometric progression is expressed as

Tn = ar^(n - 1)

Where

a represents the first term of the sequence.

r represents the common ratio between successive terms in the sequence.

n represents the number of terms in the sequence.

From the seies shown,

a = 28

r = 98/28 = 343/98 = 3.5

The formula representing the nth term of the given sequence would be expressed as

Tn = 28 × (3.5)^(n - 1)

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aliya0001 [1]

Answer:

$P(X$

And we can find this probability with the normal standard distirbution or excel and we got:

$P(z$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem

Let X the random variable that represent the lenghts of a population, and for this case we know the distribution for X is given by:

$X \sim N(80,5)$

Where $\mu=80$ and $\sigma=5$

We are interested on this probability

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And the best way to solve this problem is using the normal standard distribution and the z score given by:

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If we apply this formula to our probability we got this:

$P(X$

And we can find this probability with the normal standard distirbution or excel and we got:

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3 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

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Step-by-step explanation:

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3 years ago

Find the product of z1 and z2, where z1 = 5(cos 60° + i sin 60°) and z2 = 7(cos 210° + i sin 210°)

Verizon [17]

Answer:

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Step-by-step explanation:

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2 years ago

Help<br> Simplify. 2−4÷2+2^3

Radda [10]

Hey there!

If we use pemdas:

P - Parentheses
E - Exponents
M - Multiplicatiom
D - Division
A - Addition
S - Subtractiom

We know we have to evaluate the exponent first. Two to the rid power is equal to 8. Therefore, we have:

2 - 4/2 + 8

Next, we do the division. -4/2 = -2, so we have:

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Hope this helps!

3 0

3 years ago

Read 2 more answers

Find a formula for geometric series that begins with 28, 98, 343,...​

Find a formula for geometric series that begins with 28, 98, 343,...