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2 years ago

Write an explicit formula formula for the sequence 2, 8, 14, 20, 26,...

Mathematics

1 answer:

Degger [83]2 years ago

5 0

Answer:

d. a_n = 6n - 4.

Step-by-step explanation:

The common difference (d) is 8-2 = 14-8 = 20-14 = 26-20 = 6.

This is an Arithmetic Sequence with the first term (a1) is 2.

The general form of the explicit formula is a_n = a1 + d(n - 1) so this sequence has the formula:

a_n = 2 + 6(n - 1)

a_n = 2 + 6n - 6

a_n = 6n - 4.

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A pilot and co-pilot are performing a test run in a new airplane. The pilot is required to take off and fly in a straight path a

crimeas [40]

Using the slope concept, it is found that:

The minimum horizontal distance is of 14,281.5 feet.

The maximum horizontal distance is of 15,398.6 feet.

<h3>What is a slope?</h3>

The slope is given by the <u>vertical change divided by the horizontal change</u>.

It's also the tangent of the angle of depression.

In this problem, the vertical change is the altitude of 10,000 feet.

The minimum horizontal distance is with an angle of 35º, hence:

$\tan{35^{\circ}} = \frac{10000}{d}$

$d = \frac{10000}{\tan{35^{\circ}}}$

$d = 14281.5$

The maximum horizontal distance is with an angle of 33º, hence:

$\tan{33^{\circ}} = \frac{10000}{d}$

$d = \frac{10000}{\tan{33^{\circ}}}$

$d = 15398.6$

You can learn more about the slope concept at brainly.com/question/22568180

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2 years ago

Use decimals to express a probability in tenths.

Alisiya [41]

The answer is 1/10
=.1

4 0

3 years ago

Read 2 more answers

What is 3 times the sixth power of 10

sergey [27]

3000000...........
10^6 =1000000 (3) = 3000000

7 0

2 years ago

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Help me plz I need it I'm very desperate help

Klio2033 [76]

Answer:

1/45

Step-by-step explanation:

There are 10 marbles

P ( yellow) = yellow marbles / total = 2/10 = 1/5

We do not replace the marble

There are 9 marbles, 1 of which is yellow

P ( yellow) = yellow marbles / total = 1/9

P ( yellow, no replacement, yellow) = 1/5 * 1/9 = 1/45

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3 years ago

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ivann1987 [24]

Answer:

$\frac{8x}{14y} = \frac{ \frac{8x}{2} }{ \frac{14y}{2} } = \frac{4x}{7y} \\$

Hence, they are equivalent.

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2 years ago