If you never pulled your money out of your account from the company in Question #4 and let it grow to age 60, how much money wou
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The sum of the given series can be found by simplification of the number
of terms in the series.
- A is approximately <u>2020.022</u>
Reasons:
The given sequence is presented as follows;
A = 1011 + 337 + 337/2 + 1011/10 + 337/5 + ... + 1/2021
Therefore;
The n + 1 th term of the sequence, 1, 3, 6, 10, 15, ..., 2021 is given as follows;
Therefore, for the last term we have;
2 × 2043231 = n² + 3·n + 2
Which gives;
n² + 3·n + 2 - 2 × 2043231 = n² + 3·n - 4086460 = 0
Which gives, the number of terms, n = 2020
Which gives;
- A ≈ <u>2020.022</u>
Learn more about the sum of a series here:
The missing value x=3 is obtained by the concept of slope in coordinate geometry.
<h3>What is slope?</h3>Positive or negative rates of change are both possible. Since the slope of a line is determined by the ratio of the vertical and horizontal change between any two locations on a plane or line, the slope is determined by the rise to run ratio. Where, Rise is the difference in elevation between two points. The horizontal shift between two places is known as a run.
Formula of slope = (equation 1)
According to the question the coordinates are: xi=2, x2=x, y1=6, y2=10
Given, rate of change=4 (here rate of change=slope)
Putting all coordinates in equation 1
Slope=
4=4/x-2
x-2=1
x=3
Therefore, the missing value x=3
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