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Aliun [14]
2 years ago
12

What will be the first negative term in the sequence 87,84,81​

Mathematics
1 answer:
o-na [289]2 years ago
8 0

Answer:

a₃₁

Step-by-step explanation:

The terms have a common difference between consecutive terms, that is

d = 84 - 87 = 81 - 84 = - 3

This indicates the sequence is arithmetic with nth term

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 87 and d = - 3 , then

a_{n} = 87 - 3(n - 1) = 87 - 3n + 3 = 90 - 3n

To find when a_{n} < 0 , solve

90 - 3n < 0 ( subtract 90 from both sides )

- 3n < - 90

Divide both sides by - 3, reversing the symbol as a result of dividing by a negative quantity, then

n > 30

Thus the 31st term will be the first negative term

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Read 2 more answers
Find the absolute minimum and absolute maximum values of f on the given interval. f(x) = x − ln 8x, [1/2, 2]
insens350 [35]
The given function is 
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The derivative of f is
f'(x) = 1 - 1/x
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A local maximum or minimum occurs when f'(x) = 0.
That is,
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f(1/2) = 1/2 - ln(4) = -0.886
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The maximum value of f is
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A graph of f(x) confirms the results.

Answer: 
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4 0
3 years ago
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Answer:

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Step-by-step explanation:

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25.29% increase.

5 0
2 years ago
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