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WorksheetsSpecial Midterm Exam in NUTH211 Number Theory
Total questions: 19
Worksheet time: 57mins
Find the missing number in the Fibonacci series numbers: 1, 1, 2, 3, 5, 8, 13, 21, 34, __, 89 (2 points)
51
52
54
55
Find the missing number in the Fibonacci series numbers: 1, 1, 2, 3, 5, 8, __, 21, 34, 55, 89 (2 points)
13
14
15
16
Find the missing number in the Fibonacci series numbers: 1, _, 2, 3, 5, 8, 13, 21, 34, 55, 89 (2 points)
4
3
2
1
Find the missing number in the Fibonacci series numbers: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, ___ (2 points)
144
145
146
147
Find the missing number in the Fibonacci series numbers: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 233, ___ (2 points)
375
376
377
378
Given the Pell equation: x2 – 2y2 = (- or +) 1, what is the value of x? (5 points)
Given: x = 7 and y = 5
42
49
46
47
Given the Pell equation: x2 – 2y2 = (- or +) 1, what is the value of y? (5 points)
Given: x = 7 and y = 5
51
52
53
None of the above
What is the missing value of the given Factorial value of 5? (2 points)
Given – Factorial value: 1 x 2 x 3 x ? x 5 = 120
1
2
3
4
What is the missing value of the given Factorial value of 6? (2 points)
Given – Factorial value: 1 x 2 x 3 x 4 x 5 x 6 = ?
620
720
820
920
What is the missing value of the given Factorial value of 6? (2 points)
Given – Factorial value: ? x 2 x 3 x 4 x 5 x 6 = 720
1
2
3
4
n Factorial is the product of the first n positive numbers. (2 points)
True
False
In Factorial, 0! is to be defined as 1. (2 points)
True
False
What is Pascal Triangle? (10 points)
Which of the following is a divisor of 10? (2 points)
1
2
3
4
Which of the following is a divisor of 10? (2 points)
1
2
3
4
Which of the following is a divisor of 10? (2 points)
3
4
5
6
10 is the proper divisor of 10 (2 points)
True
False
GCD stands for Greatest Common Divisor? (2 points)
True
False
Find d = gcd (30,292) ? (3 points)
1
2
3
4
