Real World Applications: Summing a Series

• Problem

  Write a program to sum the first n terms of the infinite series
  
  1/12 + 1/22 + 1/32 + 1/42 + …
  

• Solution

We first prompt the user for the value n. We add the terms starting from the smallest. This improves the accuracy of the sum by ensuring that the values to be added are within the same range, so that we minimize the loss of significant digits due to rounding.

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