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4 years ago

Write a recursive formula for the following arithmetic sequence. 8, 5, 2, −1,

Mathematics

1 answer:

Kamila [148]4 years ago

8 0

Answer:

$a_{n}$ = $a_{n-1}$ - 3

Step-by-step explanation:

A recursive formula allows a term in the sequence to be found from the previous term by adding the common difference to it.

Here d = 5 - 8 = - 3, thus

$a_{n}$ = $a_{n-1}$ - 3 with a₁ = 8 ← recursive formula

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Answer:

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3 years ago

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A man is standing at a radar base and observes an unidentified plane at an altitude 6000m flying towards the radar base at an an

liubo4ka [24]

Answer:

The speed in of the plane is 115.47 m/sec

Step-by-step explanation:

Given:

Height at which the plane is flying = 6000 m

Angle of elevation at the radar base = 30 Degrees

Angle of elevation at the radar base after one minute = 60 Degrees

To Find:

The Speed of the plane in meter per second = ?

Solution:

Let us use the tangent of the angle to find the distance (d) to a point directly below plane:

when the angle is 30 degrees

$tan(30) = \frac{6000}{d1}$

$d1 = \frac{6000}{tan(30)}$

$d1 = \frac{6000}{0.577}$

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when the angle is 60 degrees

$tan(60) = \frac{6000}{d2}$

$d2 = \frac{6000}{tan(60)}$

$d2 = \frac{6000}{1.732}\\$

d2 = 3464.1 meters

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=>d1 - d2

=>0392.3 - 3464.1

= 6928.2 m/min

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3 years ago

You need $40 $ 40 to buy a new pair of shoes. You have saved $15 $ 15 . Which inequality models how much more you must save?

Hoochie [10]

Answer:

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Step-by-step explanation:

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3 years ago

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Answer:

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Step-by-step explanation:

Set A = {−7, −4, 2, 14, 21, 34, 42}

Set B = {even numbers}

Set C = {multiples of 7}

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Darya [45]

Answer:

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Step-by-step explanation:

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3 years ago

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