The partial sums are correct are Option A and Option C. That is: (2) and (28/9).
What is a partial sum?
A partial sum (simply put) refers to the sum of the various parts that make up a sequence.
For example, in the above sequence given as:
2 + (2/3) + (4/9) + (8/27) + (16/81) + (32/243) + ...
A partial sum would be:
2 + (2/3).
In this case, thus,
- Series 1 = 2 - This is correct.
Series 2 = 2 + (2/3) = 8/3 - incorrect - Series 3 = (8/3) + (4/9) = (28/9) Correct
- Series 4 = (28/9) + (8/27) = (92/27)
- Series 5 = (92/27) + (16/81) = 292/81
Learn more about partial sums at:
https://brainly.com/question/17464148
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