Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are -36 and 2304, respectively.

Answers

Answer 1

Answer: When we find a geometric sequence using the first and second terms, what we do is divide the second by the first to find a "common ratio," the number you multiply by to get to the next term.

In this case, we only have the second and fifth terms. From the second to the fifth term, we've multiplied by that common ratio three times.
What we can do is divide the fifth by the second and then take the cube root to find our common ratio.

$2304/-36=-64\n\sqrt[3]-64=\boxed{-4}$

Now we know we're multiplying by -4 each time, let's find the first term.

The opposite of multiplying by -4 would be dividing by -4. We work back from our second term -36 to find that the first term would be 9.

For each sucessive term, we then multiply by -4.

Our equation is $a_n=9*-4^((n-1))$

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10y = 360degrees????????????????

Answers

y equals 36 because 10 times 36 is 360

Solve by factoring (please show work)The equation for an arrow shot on mars is d= -6t^2 +120t. After how many seconds will the arrow hit the surface?

Answers

Answer:

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Step-by-step explanation:

A six-sided number cube is rolled. Find the probability of rolling a 5 or an even number?A. 1/12
B. 1/3
C. 2/3
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Answers

Well there are 3 even numbers on a six sided number cube. Then there is the 5. So together that would be 4 of six, and simplified that would be 2/3.

c bc 4/6 simplified is 2/3

Wilhelm is making a pie. He uses 1/2 cup of blueberries and 2/3 cup of raspberries. what is the total amoutn of berries in wilhelm's pie? (Please be specific with answer)

Answers

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Pls help ASAP!!!!!!!!!Royce is taking violin lessons. The instructor charges an initial fee and an hourly fee. The amount Royce pays based on the length of his lesson is shown in the graph below. What is the instructor’s hourly fee?_____per hour(format $xx.xx). A graph titled Cost of Royce's Violin lesson has length of lesson (hours) on the x-axis and cost (dollars) on the y-axis. A line goes through points (2, 52), (3, 67), (4, 82) and (5, 97).

Answers

67-52= 15
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Answer:

It is not 37

Step-by-step explanation:

I did the test on eg

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Answers

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