II.) Show your solution completely. 1. What is the 30th term of the Fibonacci number? (2 points) 2. In a Fibonacci sequence, f12=144 and f13=233. What is f20? (3 points) 3. Determine the next number of the series: 1, 8, 27, 64, 125, ___.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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II.) Show your solution completely.
1. What is the 30th term of the Fibonacci number? (2 points)
2. In a Fibonacci sequence, f12=144 and f13=233. What is f20? (3 points)
3. Determine the next number of the series: 1, 8, 27, 64, 125, ___. (3 points)
4. An exponent is a small number written on the upper right of another number which is
called the base. It denotes the number of times the base to be multiplied by itself. What
is the value of -5
2? (3 points)
5. Express the mathematical statement to an English sentence:
10 2 2
3

=
(3 points)
6. Translate the following statement in symbols: “Twice the difference of 2 and 3,
diminished by 2”. (3 points)
7. Give one example of a deductive type of reasoning. (3 points)
8. If the population in the Philippines increases at the rate of one person every 15
seconds, by how many persons does the population have in 20 minutes? (5 points)
9. A teacher suggests that the minimum passing total score on the five quizzes is 135
points. Your scores on the first four quizzes have been 19, 26, 23, and 28. How many
points must you score on the fifth 50-item quiz to at least pass the quizzes? (5 points)
10. There are 364 first year students enrolled in the University of Mindanao. If there are
26 more females than males, how many females are there? (5 points)

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