An Exercise on Arithmetic Sequences | General Term & Sum of First n Terms

Section A(1) & A(2) Practice

Question 1 MC
Find the 8th term of the arithmetic sequence \( 7, 11, 15, 19, \ldots \).
A. \( 31 \)     B. \( 35 \)     C. \( 39 \)     D. \( 43 \)

Question 2 MC
What is the sum of the first 12 terms of \( 3, 6, 9, 12, \ldots \)?
A. \( 216 \)     B. \( 234 \)     C. \( 252 \)     D. \( 270 \)

Question 3 Short Answer
Find the general term of the arithmetic sequence \( 8, 5, 2, -1, \ldots \).

Question 4 Short Answer
How many terms are there in the arithmetic sequence \( 2, 7, 12, \ldots, 57 \)?

Question 5 MC
If \( x+2, 2x+1, 4x-3 \) are consecutive terms of an arithmetic sequence, find \( x \).
A. \( -2 \)     B. \( -1 \)     C. \( 0 \)     D. \( 1 \)

Question 6 Short Answer
Insert 4 arithmetic means between 5 and 25.

Question 7 MC
The 3rd term of an arithmetic sequence is 12 and the 7th term is 28. Find the common difference.
A. \( 3 \)     B. \( 4 \)     C. \( 5 \)     D. \( 6 \)

Question 8 Short Answer
A stack of logs has 10 logs in the bottom row, 9 in the next, and so on, up to 1 log in the top row. How many logs are there in total?

Question 9 Short Answer
The sum of the first n terms of an arithmetic sequence is \( S_n = 2n^2 + 3n \). Find the first term and the common difference.

Question 10 Short Answer
The 2nd term of an arithmetic sequence is 9 and the 6th term is 25. Find the sum of the first 10 terms.