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Thirteen bombs were dropped on Auschwitz-Birkenau in the first hour, and twenty-one bombs in the second hour. According to the Fibonacci Sequence, how many bombs will be dropped in 4 hours?

Sagot :

Sure, let's solve this step-by-step using the Fibonacci sequence principle.

1. Understanding the Fibonacci Sequence: In a Fibonacci sequence, each number is the sum of the two preceding numbers.

2. Bombs Dropped in the First Hour: We start with 13 bombs in the first hour.

3. Bombs Dropped in the Second Hour: According to the problem, 21 bombs are dropped in the second hour.

4. Bombs Dropped in the Third Hour: To find out how many bombs are dropped in the third hour, we add the number of bombs in the first hour to the number of bombs in the second hour:
[tex]\[ \text{Bombs\_in\_Third\_Hour} = \text{Bombs\_in\_First\_Hour} + \text{Bombs\_in\_Second\_Hour} = 13 + 21 = 34 \][/tex]

5. Bombs Dropped in the Fourth Hour: To find out how many bombs are dropped in the fourth hour, we add the number of bombs in the second hour to the number of bombs in the third hour:
[tex]\[ \text{Bombs\_in\_Fourth\_Hour} = \text{Bombs\_in\_Second\_Hour} + \text{Bombs\_in\_Third\_Hour} = 21 + 34 = 55 \][/tex]

Thus, the number of bombs dropped over the four hours is as follows:
- First Hour: 13 bombs
- Second Hour: 21 bombs
- Third Hour: 34 bombs
- Fourth Hour: 55 bombs