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3 years ago

7

Is the set of numbers one 1,5,25 and 125 a geometric sequence

1 answer:

Strike441 [17]3 years ago

6 0

Short answer: Yes.
Each member of the sequence is multiplied by 5 to get to the next member of the sequence.

Find the general equation.
tn = a*5^(n - 1)

Example
t4 = 1*5^(4 - 1)
t4 = 1*5^3
t4 = 125 just as the sequence shows.

t5 = 1^5^4
t5 = 625 Any member of the sequence can be found this way.

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Three trigonometric functions for a given angle are shown below. cosecant theta = thirteen-twelfths; secant theta = Negative thi

Kay [80]

Answer:

(–5, 12) is the correct answer.

Step-by-step explanation:

We are given the following values:

$cosec\theta = \dfrac{13}{12}\\sec\theta=-\dfrac{13}{5}\\cot\theta =-\dfrac{5}{12}$

Now, we know the following identities:

$sin \theta = \dfrac{1}{cosec\theta}\\cos \theta = \dfrac{1}{sec\theta}\\tan \theta = \dfrac{1}{cot\theta}$

Now, the values are:

$sin\theta = \dfrac{12}{13}\\cos\theta=-\dfrac{5}{13}\\tan\theta =-\dfrac{12}{5}$

Sine value is positive and cos, tan values are negative.

It can be clearly observed that $\theta$ is in 2nd quadrant.

2nd quadrant means, the value of $x$ will be negative and $y$ will be positive.

Let us have a look at the value of $tan\theta$ :

$tan\theta = \dfrac{Perpendicular}{Base}\\OR\\tan\theta = \dfrac{y-coordinate}{x-coordinate} = -\dfrac{12}{5}\\\therefore y = 12,\\x = -5$

Please refer to the attached image for clear understanding and detailed explanation.

Hence, the correct answer is coordinate (x,y) is (–5, 12)

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2 years ago

laiz [17]

YOU USE 1 7/8
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3 years ago

A rectangular prism has a length of 9 feet, a height of 20 feet, and a width of 4 feet. What is its volume, in cubic feet?

Crank

Answer:

V=720ft³

Step-by-step explanation:

V=whl=4·20·9=720ft³

happy to help

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3 years ago

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natali 33 [55]

Answer:

What is the question

Step-by-step explanation:

So u can solve it for u

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3 years ago

Ron wants to buy a video game with a selling price of ?$36?, on sale for? 50% off. The sales tax in his state is 5.5 %. How much

cestrela7 [59]

Answer:

Yes, it costs $18.99.

Step-by-step explanation:

The game is originally $36 and a game 50% off is 36/2 = $18.

The sale price is $18.

The state charges 5.5% tax which means you pay 105.5% of the sale price.

1.055(18) = 18.99

The final total is 18.99 which means Ron's $19 is enough.

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3 years ago