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Colt1911 [192]
2 years ago
6

19, 38, 76, ... find the 8th term

Mathematics
1 answer:
Alisiya [41]2 years ago
4 0
I think it’s 557

reasoning in pic

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Y= 2x+1 Graph this line
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Find the explicit formula that produces the given sequence. <br> 3/2, 3/4, 3/8, 3/16,...
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\frac{3}{2};\ \frac{3}{4};\ \frac{3}{8};\ \frac{3}{16};\ ...\\\\a_1=\frac{3}{2}\\\\a_2=\frac{3}{4}=\frac{3}{2}\cdot\frac{1}{2}\\\\a_3=\frac{3}{8}=\frac{3}{4}\cdot\frac{1}{2}=\frac{3}{2}\cdot\left(\frac{1}{2}\right)^2\\\\a_4=\frac{3}{16}=\frac{3}{8}\cdot\frac{1}{2}=\frac{3}{2}\cdot\left(\frac{1}{2}\right)^3\\\vdots
a_n=\frac{3}{2}\cdot\left(\frac{1}{2}\right)^{n-1}=\frac{3}{2}\cdot\left(\frac{1}{2}\right)^{-1}\cdot\left(\frac{1}{2}\right)^n=\frac{3}{2}\cdot2\cdot\left(\frac{1}{2}\right)^n=3\cdot\left(\frac{1}{2}\right)^n
7 0
2 years ago
Find X in the figure below.
Hitman42 [59]
<h3>Answer:</h3>

x = 3

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The product of the lengths of segments from the intersection point to the circle is the same for both secants.

... 1×6 = 2×x

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_____

<em>Comment on secant geometry</em>

Interestingly, this relation is true whether the point of intersection of the secants is inside the circle or outside.

When it is outside, the product is of the distance to the near intersection with the circle and the distance to the far intersection with the circle.

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