So you first want to move all variables to one side.
2x = 1/8 + 4x
So perform the opposite of each operation to move it.
2x - 4x = 1/8 + 4x - 4x
-2x = 1/8
And then just divide both sides by -2
-2x / -2 = 1/8 / -2
x = -1/16
Answer:
The answer is (3x^2-2x+5)
The geometric series is convergent and the value is 16.
<h3>How to illustrate the information?</h3>
Recall that the sum of an infinite geometric series, S, given first term, t_1, and common ratio, r, is given by:
S = t_1/(1 - r)
Note that:
3 = (4)(3/4)
9/4 = (3)(3/4)
27/16 = (9/4)(3/4)
So this a geometric series with t_1 = 4 and r = 3/4. Therefore:
4 + 3 + 9/4 + 27/16 + ... = 4/(1 - 3/4) = 4/(1/4) = 16
The correct option is 16.
Learn more about geometric series on:
brainly.com/question/24643676
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Determine whether the geometric series is convergent or divergent. If it is convergent, find its sum
4+3+ 9/4 +27/16 +???
choices are
1. 3/4
2. 12
3. 4
4. divergent
5. 16
Answer:
21
Step-by-step explanation:
y = 3x + 9
y = -3x + 12
y=21
