## In the sequence of nonzero numbers $$t_1, t_2, t_3, \ldots, t_n,\ldots,$$ $$t_{n+1} = \dfrac{t_n}2$$ for all positive in

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### In the sequence of nonzero numbers $$t_1, t_2, t_3, \ldots, t_n,\ldots,$$ $$t_{n+1} = \dfrac{t_n}2$$ for all positive in

by Gmat_mission » Sun Nov 28, 2021 7:09 am

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In the sequence of nonzero numbers $$t_1, t_2, t_3, \ldots, t_n,\ldots,$$ $$t_{n+1} = \dfrac{t_n}2$$ for all positive integers $$n.$$ What is the value of $$t_5?$$

(1) $$t_3 = \dfrac14$$
(2) $$t_1 - t_5 = \dfrac{15}{16}$$