Question 1: Find the 5th term of the geometric sequence where the first term is 3 and the common ratio is 2.

Answer: 48

Question 2: Calculate the common ratio of the sequence: 5, 15, 45, 135, ...

Answer: 3

Question 3: Determine the first term of a geometric sequence if the 4th term is 16 and the common ratio is 2.

Answer: 2

Question 4: Plot the graph of y = 2×^n for n = 1 to 5 on the grid below. (Draw the points and connect them.)

Answer: Points at (1, 2), (2, 4), (3, 8), (4, 16), (5, 32)

Question 5: Identify the pattern and write the next two terms in the sequence: 81, 27, 9, 3, ...

Answer: 1, 1/3

Question 6: Construct a triangle on the grid where the sides form a geometric sequence with ratio 2. Label the sides and verify the length pattern.

Answer: Constructed triangle with sides, for example, 3, 6, 12 units, showing the ratio pattern.

Question 7: A car accelerates such that its speed doubles every minute starting from 10 km/h. Find its speed after 4 minutes.

Answer: 160 km/h

Question 8: Determine the sum of the first 6 terms of the sequence: 1, 3, 9, 27, ...

Answer: 1093

Question 9: Identify the mistake in the following sequence: 2, 4, 8, 16, 31, ... and correct it.

Answer: The sequence should continue as 2, 4, 8, 16, 32; mistake in last term.

Question 10: Calculate the 8th term of the sequence with first term 7 and ratio 1/2.

Answer: 7/128