The given geometric series as shown in the question is seen to; Be converging with its' sum as 81
<h3>How to identify a converging or diverging series?</h3>
We are given the geometric series;
27 + 18 + 12 + 8 + ...
Now, we see that;
First term; a₀ = 27
Second Term; a₁ = 2(27/3)
Third term; a₂ = 2²(27/3²)
Fourth term; a₃ = 2³(27/3³)
Thus, the formula is;
2ⁿ(27/3ⁿ)
Applying limits at infinity gives;
2^(∞) * (27/3^(∞)) = 0
Since the terms of the series tend to zero, we can affirm that the series converges.
The sum of an infinite converging series is:
S_n = a/(1 - r)
S_n = 27/(1 - (2/3)
S_n = 81
Read more about converging or diverging series at; brainly.com/question/15415793
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-(7+8/100)
= -(7+4/50)
= -(7+2/25)
= -177/25
Answer:
Option 3 is the best option that compares the pair of intersecting rays with the angle
Step-by-step explanation:
The definition of angle says that an angle is a shape that is produced by the intersection of two rays that have a common end point.
A ray is a line segment that has only one end point and is extended infinitely in a unique direction
So Yeah. :) Hope I've helped
Answer:
Step-by-step explanation:
add 12 and a number: 12 + c
subtract a number from 12: 12 - c
divide a number by 12: c : 12 or c/12
multiply 12 by a number: 12 · c = 12c
