Generate the Fibonacci sequence up to the 10th term and calculate the value of the 10th term.
Question
Generate the Fibonacci sequence up to the 10th term and calculate the value of the 10th term.
Solution
Sure, here is how you generate the Fibonacci sequence up to the 10th term and calculate the value of the 10th term.
The Fibonacci sequence is a series of numbers in which each number is the sum of the two preceding ones, usually starting with 0 and 1.
Here are the steps to generate the Fibonacci sequence up to the 10th term:
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Start with 0 and 1. These are the first and second terms of the sequence. So, F1 = 0 and F2 = 1.
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For the third term, add the first and second terms. So, F3 = F1 + F2 = 0 + 1 = 1.
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For the fourth term, add the second and third terms. So, F4 = F2 + F3 = 1 + 1 = 2.
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Continue this process. The fifth term is F5 = F3 + F4 = 1 + 2 = 3.
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The sixth term is F6 = F4 + F5 = 2 + 3 = 5.
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The seventh term is F7 = F5 + F6 = 3 + 5 = 8.
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The eighth term is F8 = F6 + F7 = 5 + 8 = 13.
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The ninth term is F9 = F7 + F8 = 8 + 13 = 21.
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The tenth term is F10 = F8 + F9 = 13 + 21 = 34.
So, the Fibonacci sequence up to the 10th term is: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34.
And the value of the 10th term is 34.
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