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mixas84 [53]
4 years ago
14

Write a recursive function for the following geometric sequence ,6,18,54,162

Mathematics
1 answer:
sasho [114]4 years ago
5 0

Answer:

f(n + 1) = 3f(n) with a₁ = 6

Step-by-step explanation:

The common ratio r of the geometric sequence is

r = 18 ÷ 6 = 3

Thus to obtain the next term in the sequence multiply the previous term by 3

Expressing this as a recursive function then

f(n + 1 ) = 3f(n) with a₁ = 6

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Solve for n using the additive identity property.
tangare [24]

<em>The answer is:</em>

\boxed{n=5}

<h2>Explanation:</h2>

The additive identity property states that if you add any real number to zero or add zero to any real number, you will get the same real number back. In other words:

a+0=0+a=a \ For \ any \ real \ number \ a

Here we have that:

5+0=n

So by the mentioned property:

5+0=0+5=5

In other words:

\boxed{n=5}

<h2>Learn more:</h2>

Distributive property: brainly.com/question/12256474

#LearnWithBrainly

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Answer:

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Step-by-step explanation:

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From the number line, it is clear that

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The unit rate = 3520 yards / 2 miles

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1760 × 5 = 8800 miles

Therefore, the number of yards in 5 miles will be: 8800 miles

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