Compute the value of each of the following.
a.
b.
c.
d.
e.
(a)
To calculate:
The value of
Answer to Problem 1E
Solution:
The value of
Explanation of Solution
The Fibonacci sequence is 1, 1, 2, 3, 5, 8, 13 and so on, (each term is the sum of the first two preceding terms).
The terms of the Fibonacci sequence are known as Fibonacci numbers. The
Given:
The given expression is
Formula used:
The recursive formula to calculate the
Here
Calculation:
The
Substitute 1 for
Substitute 1 for
Substitute 2 for
Similarly,
Substitute
Conclusion:
Thus, the
(b)
To calculate:
The value of
Answer to Problem 1E
Solution:
The value of
Explanation of Solution
The Fibonacci sequence is 1, 1, 2, 3, 5, 8, 13 and so on, (each term is the sum of the first two preceding terms).
The terms of the Fibonacci sequence are known as Fibonacci numbers. The
Given:
The given expression is
Formula used:
The recursive formula to calculate the
Here
Substitute 610 for
Conclusion:
Thus, the value of
(c)
To calculate:
The value of
Answer to Problem 1E
Solution:
The value of
Explanation of Solution
The Fibonacci sequence is 1, 1, 2, 3, 5, 8, 13 and so on, (each term is the sum of the first two preceding terms).
The terms of the Fibonacci sequence are known as Fibonacci numbers. The
Given:
The given expression is
Formula used:
The recursive formula to calculate the
Here
In the Fibonacci sequence
Substitute 89 for
Conclusion:
Thus, the value of
(d)
To calculate:
The value of
Answer to Problem 1E
Solution:
The value of
Explanation of Solution
The Fibonacci sequence is 1, 1, 2, 3, 5, 8, 13 and so on, (each term is the sum of the first two preceding terms).
The terms of the Fibonacci sequence are known as Fibonacci numbers. The
Given:
The given expression is
Formula used:
The recursive formula to calculate the
Here
Substitute 610 for
Conclusion:
Thus, the value of
(e)
To calculate:
The value of
Answer to Problem 1E
Solution:
The value of
Explanation of Solution
The Fibonacci sequence is 1, 1, 2, 3, 5, 8, 13 and so on, (each term is the sum of the first two preceding terms).
The terms of the Fibonacci sequence are known as Fibonacci numbers. The
Given:
The given expression is
Formula used:
The recursive formula to calculate the
Here
The number
Conclusion:
Thus, the value of
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