In 1795, Leonhard Euler proved that the sum of the following infinite series is equal to 72/6 1 1+ 22 1 1 + 42 (1) %3D .. 32 k=1 a). Use a for loop to sum the first twenty terms of the series and...

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Extracted text: In 1795, Leonhard Euler proved that the sum of the following infinite series is equal to 72/6 1 1+ 22 1 1 + 42 (1) %3D .. 32 k=1 a). Use a for loop to sum the first twenty terms of the series and compare this partial sum with a²/6 (compute the relative error) _2 b). Write a while loop that will determine how many terms must be summed to produce an approximation of 72/6 that is correct to 4 significant digits.