To find: which number of series is matched with the another number of series.
Answer to Problem 72E
Hence, the two series converge to the same number, that is,
Explanation of Solution
Given information:
Within the group, each student construct a series that converges to one of the numbers
Calculation:
The group activity was carried out. Answers varied.
One of the numbers that matched with the series of one of the students in group 1 with the series of one of the students in group 2 was
Series
Sum of this infinite Geometric progression will be
where a is first term
Hence,
Series
Sum of this infinite Geometric progression will be
where
Hence,
As can be seen from above, the two series converge to the same number, that is,
Hence, the two series converge to the same number, that is,
Chapter 10 Solutions
Calculus: Graphical, Numerical, Algebraic
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