Muhammad's recurrence

Algebra Level 3

Consider a sequence of numbers \(f_i\) such that \[ f_n = f_{n - 1} + f_{n - 2} \] for every integer \( n \ge 3 \). If \( f_7 = 56 \), what is

\[ f_1 + f_2 + f_3 + f_4 + f_5 + f_6 + f_7 + f_8 + f_9 + f_{10}? \]

This problem is shared by Muhammad A.

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