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3 years ago

What is the recursive formula when given the explicit formula for the following geometric sequence?

Mathematics

1 answer:

satela [25.4K]3 years ago

5 0

Answer:

Step-by-step explanation:

Take a careful look at a(n) = 6(-8)^(n-1).

The first term is 6. This is the result if we let n = 1; 6(-8)^0 = 6(1) = 6. Thus, we can immediately eliminate possible answer choices A and D.

What's the next term? Knowing that the first term, a(1), is 6, the next term is found by multiplying this 6 by (-8)^1, obtaining -48.

The next (third) term is found by multiplying this -48 by (-8)^2, obtaining -48*(+64), or - 3072.

Note that the sign of (-8)^(n-1) alternates, being odd when n-1 is odd and even when n-1 is even.

Answer C is the correct one.

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3 years ago

The price of a flight was increased by 3% to £650. What was the price before the increase?

liubo4ka [24]

Answer:

£ 631

Step-by-step explanation:

Hi this is a simple mathematics issue.

First, let's imagine what is 3%. '3 percents' means 3/100. If your family have 100 apples and you have 3 apples, that means you have 3% of your family apples.

Now, get back to this problem. We need to find the price before increase. Let's say the price was £ X. Now we will find the X number.

It's said that the price was increased by 3%. That means they took 3% of X and added that amount to X to have the new price : £ 650. That means we have this equation :

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Let's make it easier to look :

650 = X + 3/100 ×X

650 = X×( 1+ 3/100)

= X × 103/100

So we can see 650 is equaled to X multipled by 103/100.

To find the correct answer, simply divide 650 by 103/100.

*A hint: When you divide a number by a fraction, you can simply put the number multiplied by the "flipped" fraction .

Hope you learn with Joy and High Grades !!!

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3 years ago

What is the solution to 1/3(s-2)=s+4

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3 years ago

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Step-by-step explanation:

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2 years ago

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3 years ago