What is the controversial sum of the series 1 + 2 + 3 + 4 + ...?

Understanding Series and the Euler-Mascheroni Constant

Interactive Video
•
Mathematics, Physics
•
10th Grade - University
•
Hard

Jackson Turner
Used 1+ times
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
1/2
-1/12
Infinity
0
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the name of the series 1 + 1/2 + 1/3 + 1/4 + ...?
Arithmetic Series
Harmonic Series
Fibonacci Series
Geometric Series
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Who first showed the harmonic series to be divergent?
Isaac Newton
Nicole Oresme
Leonhard Euler
Carl Gauss
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the analogy of the ant on an elastic band, what happens to the band each second?
It stretches by a meter
It remains the same
It shrinks by a meter
It doubles in length
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How long does it take for the ant to traverse the entire elastic band?
e^10 seconds
10^10 seconds
10^100 seconds
e^100 seconds
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the approximate value of the Euler-Mascheroni constant?
0.577
1.618
3.141
2.718
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the growth rate of the harmonic series?
Exponential
Linear
Logarithmic
Quadratic
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