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OlgaM077 [116]
3 years ago
5

What is the explicit formula for the sequence 10, 15, 22.5, 33.75, …?

Mathematics
1 answer:
Flura [38]3 years ago
8 0

Answer:

Step-by-step explanation:

Since there's no one one number you can add to one number in the sequence to get to the next number, this is not arithmetic. It must be geometric. We need then to find the common ratio. Let's start with the first 2 numbers, find a ratio, and then use it to test for accuracy.

10x = 15 and

x = \frac{15}{10}=\frac{3}{2} If this is in fact a geometric sequence witha common ratio of 3/2, we should be able to multiply 15 by 3/2 to get to the next number in the sequence. Let's try it out:

15(\frac{3}{2})= \frac{45}{2}=22.5 Good. So the common ratio is 3/2. The formula for an explicit geometric formula is

A_n=a_1(r)^{n-1 where a1 is the first number in the sequence and r is the common ratio. Filling in:

A_n=10(\frac{3}{2})^{n-1

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3 years ago
Using the quadratic formula to solve 7x2 -x = 7, what are the values of x?
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Answer:

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Step-by-step explanation:

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I hope this helps      :)

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3 years ago
. The mean incubation time for a type of fertilized egg kept at a certain temperature is 25 days. Suppose that the incubation ti
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Answer:

Step-by-step explanation:

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