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 $$943 = 9+4+3 = 16$$

×