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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1 solution
The sum of the first ten terms of Fibonacci number is 143. Beyond the tenth term, the series will continue in the form of … , 5 5 , 8 9 , 1 4 4 , 2 3 3 , … , and 143 is not Fibonacci number.