Answer:
x < 15
Step-by-step explanation:
- 3 < 0 ( add 3 to both sides )
< 3 ( multiply both sides by 5 to clear the fraction )
x < 15
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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Answer:
3a – 4b + 6c – 3d
when a = 5 b = 4 c = 3 d = 2
the value
= 3×5 - 4×4 + 6×3 - 3×2
=15-16+18-6
=11
Answer:
2
Step-by-step explanation:
13-5x =3
-13 -13
-5x = -10
-5 -5
x=2
