The Sum of All Plums

The Fibonacci number is a sum of 2 prior terms in the Fibonacci series as shown.

Suppose you're taking the plums out of the big box, where the number of the selected plums runs according to this series: 1 plum, then 1 plum, then 2 plums, then 3 plums, then 5 plums, and so on.

If you stop after the tenth loading (55 plums), will the sum of all loaded plums still be a Fibonacci number?

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