Question 1: Calculate the next three terms in the Fibonacci sequence starting with 1, 1.

Answer: 2, 3, 5

Question 2: Given the sequence 3, 6, 12, 24, ..., find the rule governing the sequence and the 6th term.

Answer: Each term is multiplied by 2; 48

Question 3: Plot the graph of y=2x for x from 0 to 5. (Draw on the grid)

Answer: Points: (0,0), (1,2), (2,4), (3,6), (4,8), (5,10)

Question 4: Construct a triangle with sides following the sequence 3, 5, 8. Use the grid to draw it accurately.

Answer: Students draw the triangle based on the given side lengths

Question 5: Identify the pattern in the sequence: 2, 4, 8, 16, ... and predict the 7th term.

Answer: Multiply by 2; 128

Question 6: Explain why the Fibonacci sequence is important in nature and provide one example.

Answer: Fibonacci sequences appear in sunflower seed arrangements, pine cone scales, etc.

Question 7: Determine if the sequence 1, 4, 9, 16, ... is quadratic. Justify your reasoning.

Answer: Differences are not constant; sequence is quadratic (n^2).

Question 8: Using the sequence 1, 1, 2, 3, 5, 8, identify the pattern and find the 10th term.

Answer: Fibonacci pattern; 55

Question 9: A sequence is defined as a(n) = 3n + 2. Write out the first five terms and identify the pattern.

Answer: 5, 8, 11, 14, 17; linear pattern

Question 10: Identify the mistake in classifying the sequence 2, 4, 8, 16, ... as geometric and explain why it is correct or not.

Answer: It is geometric with ratio 2; no mistake.

Question 11: Challenge: Find a formula for the nth term of the sequence 2, 4, 8, 16, ... and prove your pattern.

Answer: a(n) = 2^n; verified by pattern

Question 12: Error Analysis: A student claims the sequence 1, 2, 4, 8, ... is arithmetic because each term increases by adding 1. Identify and correct the mistake.

Answer: Sequence increases by multiplying by 2, not adding 1.