Stewart's Sequences 5 of 5

Algebra Level 2

The first three terms of a sequence are shown below:

\((x+1),\\ (x+1)+(x+3),\\ (x+1)+(x+3)+(x+5),\\ ...\)

If the \(38^{th}\) term \(=2014\), find the digital sum of \(x\).

\(Details\) \(and\) \(Assumptions:\)

The digital sum of a number is the sum of each digit added together, e.g. the digital sum of \(943 = 9+4+3 = 16\)


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