Asa received scores of 72, 97, and 82 on her last three math tests. She needs a mean test score of 82 to qualify for the math te
am. What is the first step in determining how many points she needs on her next test to qualify for the team? Find the sum of all the numbers in the problem, 72 + 97 + 82 + 82. Find the average score for the three tests that Asa has taken. Determine the total number of points that she needs on the last test. Determine how many total points are needed to have an average of 82.
2 answers:
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I'm going to assume you meant to write fractions (because if are all non-negative integers, the series would clearly diverge), so that
and so on.
a. If the pattern continues as above, we would have the general term
b. Note that we can write as
The series diverges by comparison to the divergent series