Sequences and Series

Topics in this chapter

• Sequence and Series Fundamentals
• Arithmetic Progressions and Means
• Geometric Progressions and Means
• Nth Terms of Progressions
• Sums of AP and GP
• Special Series and Summation
• Sequence and Series Word Problems

Cheat sheet

Practice questions

1. Question 1Q-657B45

   The 20th term of the arithmetic progression 5, 9, 13, 17, ... is:

   1. A.77
   2. B.81
   3. C.85
   4. D.89
   See the answer and solution
2. Question 2Q-D3E9E7

   The sum of the first five terms of the geometric progression 3, -6, 12, -24, ... is:

   1. A.21
   2. B.27
   3. C.33
   4. D.39
   See the answer and solution
3. Question 3Q-2C10B6

   The sum of the first n terms of a sequence is S_n = 3n² + 2n. What is the 10th term of the sequence?

   1. A.53
   2. B.57
   3. C.59
   4. D.61
   See the answer and solution
4. Question 4Q-3273C6

   Three numbers are in arithmetic progression. Their sum is 21 and their product is 315. Find the three numbers.

   See the answer and solution
5. Question 5Q-BEB4E3

   The eighth term of the arithmetic progression 2, 5, 8, 11, ... is:

   1. A.20
   2. B.23
   3. C.24
   4. D.26
   See the answer and solution