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dexar [7]
2 years ago
8

Consider the sequence 1, 4, 16, 64, 128, … Which statement describes the sequence? The sequence diverges. The sequence converges

to 0. The sequence converges to [infinity]. The sequence converges to –[infinity].
Mathematics
1 answer:
vagabundo [1.1K]2 years ago
5 0

Answer:

The sequence diverges

Step-by-step explanation:

The given sequence is 1, 4, 15, 64, 128, ...

By observation the sequence can be expressed as a sequence of 4 raised to increasing powers of 'x' as follows;

The sequence is 4ˣ, where; x = 0, 1, 2, 3, 4, ..., ∞

Therefore, the values of each subsequent term of the sequent is higher than the term it succeeds, the sequence does not converge to a given limit value and therefore, the sequence diverges.

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1.2

Step-by-step explanation:

\frac{3x2}{5} = \frac{6}{5} = 1.2

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Which expression is equivalent to 1/3?
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Answer:

C) 1/6y+1/6(y+12)-2

Step-by-step explanation:

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A string of holiday lights at a store has three colors that flash at different times. Red lights flash every fifth second. Blue
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Answer:

60

Step-by-step explanation:

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3 years ago
Kari is on a trip to Italy. She has made a list of cities she would like to tour while she is there, as well as how much she exp
Amanda [17]

Unit conversion is a way of converting some common units into another. Kari cannot afford to see Genoa, because it would put her $84. 48 over budget.

<h3>What are Units conversions?</h3>

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

The cost of the Kari visiting the Vatican, Rome, Naples, Venice, and Milan are €68.77, €95.41, €71.06, €113.38, and €49.69. Therefore, the total cost of visiting these places would be,

Total Cost = €68.77 + €95.41 + €71.06 + €113.38 + €49.69

                  = €398.31

Now, as it is given that 1$ is equal to 0.6859€, therefore, if we convert the amount that is already spent by Kari to visit these places in dollars, we will get,

\rm Total\ cost = \dfrac{398.31 }{0.6859} = \$\ 580.72

The amount that is left with Kari,

\rm \text{Amount left with Kari} = (Budget\ of\ Kari)-(Total\ cost)

                                    = \$585-\$580.72\\\\=\$4.28

Also, the cost of visiting Genoa is €60.85, now, if the cost is converted to dollars we will get the cost to visit Genoa,

\text{Cost of visiting Genoa} = \dfrac{60.85}{0.6859}=\$88.72

Thus, the cost of visiting Genoa is $88.72, while the amount of budget that is left with Kari is $4.28, therefore, Kari cannot afford to see Genoa, because it would put her $84. 48 over budget.

Learn more about Units conversion:

brainly.com/question/4736731

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2 years ago
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