A number sequence with the first term, ${{T}_{1}}=1$, is defined by the following rule for any int

Question

A number sequence with the first term, ${{T}_{1}}=1$, is defined by the following rule for any integer $n\ge 1$: $$ T_{n+1} = \begin{cases} 2T_n, & T_n \leq 7 \ T_n - 7, & T_n > 7 \end{cases} $$ Find the sum of first $102$ terms of this number sequence.

Accepted Answer

$S_{102}=378$.

IP1U7 HOT Q9

IP1U7 HOT Q9

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