Question 1: Write the formula for the nth term of an arithmetic sequence with first term 5 and common difference 3.

Answer: a_n=5+3(n-1)

Question 2: Find the 10th term of the sequence where a_1=2 and the common difference is 4.

Answer: 38

Question 3: Calculate the value of n when the nth term of the sequence a_n=7+2(n-1) equals 25.

Answer: 9

Question 4: Plot the first 5 terms of the sequence with a_1=3 and common difference 2 on the grid.

Answer:

Question 5: Construct the 8th term of the sequence a_n=4+5(n-1) and determine its value.

Answer: 37

Question 6: In a sequence, the 1st term is 10 and the 12th term is 52. Find the common difference.

Answer: 4

Question 7: What is the 15th term of the sequence where a_1=3 and d=2?

Answer: 31

Question 8: A sequence has a first term of 6 and a common difference of -1. Find the 20th term.

Answer: -13

Question 9: A sequence is defined by a_1=15 and the nth term formula a_n=15+3(n-1). What is the 25th term?

Answer: 87

Question 10: Identify the common mistake in the following formula for the nth term: a_n=2+4(n+1).

Answer: Incorrect formula: should be a_n=2+4(n-1)

Question 11: If a sequence has a first term 8 and the 5th term is 20, find the common difference.

Answer: 3.5

Question 12: Extend the sequence: a_1=1, a_2=3, a_3=5. What is the 10th term?

Answer: 19