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Julli [10]
4 years ago
10

Find an explicit formula for f(n). ​

Mathematics
1 answer:
soldi70 [24.7K]4 years ago
5 0

Answer:

f(n) = 2n - 2

Step-by-step explanation:

Given the recursive formula

f(n) = f(n - 1) + 2 with f(1) = 0, then

f(2) = f(1) + 2 = 0 + 2 = 2

f(3) = f(2) + 2 = 2 + 2 = 4

f(4) = f(3) + 2 = 4 + 2 = 6

The terms of the sequence are 0, 2, 4, 6, ....

These are the first 4 terms of an arithmetic sequence with explicit formula

f(n) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here d = 2 - 0 = 4 - 2 = 6 - 4 = 2 and a₁ = 0, thus

f(n) = 0 + 2(n - 1), that is

f(n) = 2n - 2 ← explicit formula

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EleoNora [17]

Inbetween each term, you are multiply by 4.


10 x 4 = 40

40 x 4 = 160

160 x 4 = 640

640 x 4 = 2560



Your next numbers are 640 & 2560.


hope this helps

6 0
3 years ago
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Will give Brainliest! if right!
jasenka [17]
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Let's try our median. The median is the middle number of a sequence listed from least to greatest. I will make the list for you.
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8 0
4 years ago
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spayn [35]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
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4 years ago
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4 0
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