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V125BC [204]
3 years ago
8

Determine whether the sequence converges or diverges. If it converges, give the limit.

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
6 0
<span>the sequence is geometric, with the common ratio being 1/6 (48 * 1/6 = 8

The formula for a geometric sequence is cr^n where "c" is a constan</span>t <span> and "r" is the common ratio 
=48(1/6)^n. 

A geometric series converges only if the absolute value of the common ratio is < It diverges if the ratio is >or equal to 1.
 the ratio is 1/6, so the sequence converges. 

Now in this case, the limit seems to approach 0,
 values can only keep getting smaller.
 If the limit approaches 0, then the series will converge to a definite sum
 S = c / (1 - are) 
S = 48 / (1 - 1/6) 
S = 57.6 

series converges, has a limit of 0,
 sum of 57.6.
hope this helps</span>
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What is the difference in the surface area of two cubes, one with edge 15 and one with an edge of 12
Lilit [14]

Remark

A cube has six sides, all of them equal. The formula for 1 side is s^2. The formula for all six = 6s^2.


Step One

Find the surface area of the larger cube.

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Step Two

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Step Three

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The difference is area = 486 units^2 <<<<< Answer


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3 years ago
Let <img src="https://tex.z-dn.net/?f=K" id="TexFormula1" title="K" alt="K" align="absmiddle" class="latex-formula"> be a circle
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The bisector of angle APQ passes through O and this is illustrated below.

<h3>How to illustrate the information?</h3>

From the information given, the center is O. and the circle passes through O and cuts at K.

In this case, it should be noted that the circles are equal according to the SAS test.

Here, AOB + APQ = 180° (Linear pair)

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