The approximate sum is 134.83
The correct option is (D).
What is series?
A series in math is simply the sum of the various numbers or elements of the sequence.
For example, to make a series from the sequence of the first five positive integers 1, 2, 3, 4, 5 we will simply add them up. Therefore 1 + 2 + 3 + 4 + 5 is a series.
A series in math is the sum of the terms in a sequence. The series and the sequence given in this example are almost identical. What differentiates the two is the addition of the + sign. Changing the comma to a plus sign changes the sequence into a series.
Suppose a person wanted to increase their level of fitness. The person decides to walk for 15 minutes the first day and increases the time spent walking by 5 minutes each day for the first week. The sequence that shows this example is
15, 20, 25, 30, 35, 40, 45
series used to find the answer is
15+20+25+30+35+40+45
Given:
[tex]\sum[/tex] (k =1 to 8) 5* (4/3)^(k-1)
So,
Putting values k=1 to 8 one by one then
= 5 + 20/3 + 80/9+0320/27+......+81920/2187
=294875/2187
=134.83
Learn more about series here:
https://brainly.com/question/15415793
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