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k0ka [10]
3 years ago
12

Given a geometric sequence with a1 = 3 and r = 0.5, write the first three terms of the sequence

Mathematics
1 answer:
Blizzard [7]3 years ago
8 0
In a geometric sequence, the numbers are found by multiplying each number by a fixed amount called a common ratio(r).

a1....this is ur first number....so since a1 = 3, ur first number is 3...and to find ur next numbers, multiply each number by r, the common ratio (which equals 0.5)

first number = 3.......3 x 0.5 = 1.5
second number = 1.5......1.5 x 0.5 = 0.75
third number = 0.75

si the first 3 terms are : 3, 1.5, 0.75
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pychu [463]

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5 0
3 years ago
An observer on top of a 50-foot tall lighthouse sees a boat at a 7° angle of depression. To the nearest foot, how far is the boa
Yuri [45]

Answer:

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Step-by-step explanation:

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Let x foot be the distance of the object(boat) from the base of the lighthouse

Angle of depression = 7^{\circ}

\angle CAB = \angle DCA = 7^{\circ}       [Alternate angle]

In triangle CAB:

To find AB = x foot.

Using tangent ratio:

\tan (\theta) = \frac{Opposite side}{Adjacent Base}

\tan (\angle CAB) = \frac{BC}{AB}

Here, BC = 50 foot and \angle CAB =7^{\circ}

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\tan (7^{\circ}) = \frac{50}{x}

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Therefore, the boat from the base of the light house is, 407.22'





5 0
3 years ago
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