Arithmetic Progressions

Topics in this chapter

• Arithmetic Progression Basics
• Nth Term and Common Difference
• Sums of Arithmetic Progressions
• Solving AP Conditions
• AP Word Problems and Applications
• AP Properties, Proofs, and Divisibility

Cheat sheet

Practice questions

1. Question 1Q-4AEABE

   What is the 11th term of the AP: $-3, -1/2, 2, \dots$?

   1. A.28
   2. B.22
   3. C.-38
   4. D.$49/2$
   See the answer and solution
2. Question 2Q-30390A

   If the 2nd term of an AP is 13 and the 5th term is 25, what is its 7th term?

   1. A.30
   2. B.33
   3. C.37
   4. D.38
   See the answer and solution
3. Question 3Q-5A79A4

   Which term of the AP: $3, 8, 13, 18, \dots$ is 78?

   1. A.12th
   2. B.15th
   3. C.16th
   4. D.17th
   See the answer and solution
4. Question 4Q-2C4339

   Find the sum of the first 22 terms of the AP: $8, 3, -2, \dots$.

   1. A.-979
   2. B.-611
   3. C.611
   4. D.979
   See the answer and solution
5. Question 5Q-3486B7

   If the sum of the first $n$ terms of an AP is given by $S_n = 3n^2 + 5n$, find its 2nd term.

   1. A.8
   2. B.14
   3. C.22
   4. D.10
   See the answer and solution