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Shtirlitz [24]
4 years ago
13

In circle A shown below, Segment BD is a diameter and the measure of Arc CB is 54°.

Mathematics
1 answer:
expeople1 [14]4 years ago
4 0
Line segment BD is the diameter of Circle A. It is also the hypotenuse of the right triangle found inside circle A.

angle C = 90°
angle D = 54°/ 2 = 27°

angle B = 180° - 90° - 27° = 63°

The <span>measure of ∡DBC is 63</span>°
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If the sixth term in a geometric sequence is 1/625, and the common ratio is 15, find the explicit formula of the sequence.
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Answer:

The explicit formula of the sequence is a_n=5(\frac{1}{5})^{n-1} for n \geq 2

Step-by-step explanation:

Sixth term in a geometric sequence =\frac{1}{625}

Common ratio =\frac{1}{5}

Formula of nth term =a_n=ar^{n-1}

Substitute the values

So,\frac{1}{625}=a(\frac{1}{5})^{6-1}\\\frac{1}{625}=a(\frac{1}{5})^{5}\\\frac{1}{625} \times 5^5=a

5=a

Substitute the value in 1

So,a_n=5(\frac{1}{5})^{n-1}

So, Option C is true

Hence the explicit formula of the sequence is a_n=5(\frac{1}{5})^{n-1} for n \geq 2

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