The sequence $$t_1$$, $$t_2$$, $$t_3$$, ............, $$t_n$$, ............. is defined by $$t_1$$=2 and $$t_n=2t_{n-1} - 1$$ for all integers $$n$$ such that $$n$$ > 1.
The sequence $$s_1$$, $$s_2$$, $$s_3$$, ............, $$s_n$$, ................ is defined by $$s_n$$=$$2^n + 1$$ for all positive integers.
