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vredina [299]
2 years ago
7

How do you do these 2 questions?

Mathematics
1 answer:
zavuch27 [327]2 years ago
5 0

Answer:

0 ≤ an ≤ bn

The series ∑₁°° bn converges

The series ∑₁°° an converges by comparison to ∑₁°° bn.

0 ≤ an ≤ bn

The series ∑₁°° bn diverges

The comparison test is inconclusive for our choice of bn.

Step-by-step explanation:

an = 1 / (n² + n + 3) and bn = 1 / n²

The numerators are the same, and the denominator of an is greater than the denominator of bn.  So 0 ≤ an ≤ bn.

bn is a p series with p > 1, so it converges.

Since the larger function converges, the smaller function also converges.

an = (3n − 1) / (6n² + 2n + 1) and bn = 1 / (2n)

If we rewrite bn as bn = (3n − 1) / (6n² − 2n), we can tell that when the numerators are equal, the denominator of an is greater than the denominator of bn.  So 0 ≤ an ≤ bn.

bn is a p series with p = 1, so it diverges.

The larger function diverges.  We cannot conclude whether the smaller function converges or diverges.

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Age If you add Natalie's age and Fred's age, the result is 40. If you add Fred's age to 4 times
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Answer:

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Step-by-step explanation:

Let Nathalie's age be x

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Answer:

<h2><u>Toothpaste</u></h2>

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Tartar Free = $0.2075 per ounce

Bright = $0.19875 per ounce

I will buy Bright because it is the cheapest.

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