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Mathematics, 12.08.2019 17:10 jaileen84

The infinite sequence $t=\{t_0,t_1,t_2,\ldots\}$ is defined as $t_0=0,$ $t_1=1,$ and $t_n=t_{n-2}+t_{n-1}$ for all integers $n> 1.$ if $a,$ $b,$ $c$ are fixed non-negative integers such that\begin{align*} a& \equiv 5\pmod {16}\\ b& \equiv 10\pmod {16}\\ c& \equiv 15\pmod {16}, \end{align*}then what is the remainder when $t_a+t_b+t_c$ is divided by $7? $ you can use a latex renderer to see what this says.

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The infinite sequence $t=\{t_0,t_1,t_2,\ldots\}$ is defined as $t_0=0,$ $t_1=1,$ and $t_n=t_{n-2}+t_...
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