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Sums of recurrence terms · Sequences and series · Earlier days

Sum of a ten-term recurrence sequence

Real numbers

a_1, a_2, \ldots, a_{10}

satisfy

a_n = a_{n-1} + a_{n-2}

for

n = 3, 4, \ldots, 10

. If

a_7 = 17

, find

a_1 + a_2 + \cdots + a_{10}

.

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