Answer:
81
Step-by-step explanation:
The formula for calculating the sum of geometric series varies depending on the value of its common ratio.
Given the common ratio to be 2/3 which is less than 1, the formula to be used is given as;
Sn = a(1-rⁿ)/1-r
n is the number of terms of the series
a is the first term
r is the common ratio.
Sn is the sum of the series
Given n = 3, r = 2/3 and Sn = 171,
a= ?
Substituting this values in the formula we have;
171 = a{1-(2/3)³}/1-2/3
171 = a{1-8/27}/(1/3)
171 = a(19/27)/(1/3)
171 = 19a/27 × 3/1
171 = 57a/27
57a = 171×27
57a = 4,617
a = 4,617/57
a = 81
The first term of the series is 81
Answer:
60
Step-by-step explanation:
i did the math yeah
Answer:
C
Step-by-step explanation:
1. If it is to the power of a negative, you do the reciprocal, so you know the answer will be 1/y.
2. If it is to the power of 4/3, you know it is
(y cubed to the power of 4), so the whole answer is 1/![\sqrt[3]{y} ^{4\\}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7By%7D%20%5E%7B4%5C%5C%7D)
Answer:
0
Step-by-step explanation:
The line is horizontal
Answer:
x = 1 is the equation of a vertical line parallel to y-axis, as shown in attached figure.
Step-by-step explanation:
- As the equation of y-axis is
.
- If a line is parallel to y-axis i.e. x=0, then location of the that line will have at some distance - let say d - from y.
- The Distance d will be positive or negative depending on whether the line is located at the left side or right side of the y-axis.
- So, the equation of any parallel line to the y-axis and has an x-intercept will have an equation like x = a where a is the x-intercept.
- The slope of this vertical line will be undefined.
Therefore, from the above discussion, we can safely say that x = 1 is the equation of a vertical line parallel to y-axis, as shown in attached figure.
<em>Keywords: graph, vertical line parallel to y-axis.</em>
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Learn more graphs and vertical line from brainly.com/question/4675682</em>
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