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This study calculates and displays a periodic Summation of the data specified by the Input Data Input.

Let \(X\) be a random variable denoting the Input Data, and let \(X_i\) be the value of the Input Data at Index \(i\). Let the Length Input be denoted as \(n\). Then we denote the Summation - Periodic at Index \(t\) for the given Inputs as \(\mathrm{sum}_t(X,n)\), and we compute it for \(t \geq n - 1\) as follows.

For an explanation of the Sigma (\(\Sigma\)) notation for summation, refer to our description here.