5 Questions
Which of the following statements about the series 1 + 2 + 3 + 4 + ⋯ is true?
The series is divergent
What is the nth partial sum of the series 1 + 2 + 3 + 4 + ⋯ ?
n(n-1)/2
As n goes to infinity, what happens to the nth partial sum of the series 1 + 2 + 3 + 4 + ⋯ ?
It approaches infinity
What does the formula 1 + 2 + 3 + 4 + ⋯ = -1/12 mean?
The sum of the series is -1/12
What is the value of the series 1 + 2 + 3 + 4 + ⋯ according to zeta function regularization and Ramanujan summation?
-1/12
Test your knowledge on divergent series and the concept of infinity with this quiz. Explore the famous infinite series 1 + 2 + 3 + 4 + ⋯ and the triangular numbers. Discover why this series diverges and learn about the implications of the sequence of partial sums. Challenge yourself and see if you can grasp the concept of a series without a finite sum.
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