The following is a list of free SAT Practice questions that typically appear from sequences and series. Arithmetic and Geometric sequences are tested and includes the following concepts : sum of sequence, average of sequence, finding a specific term of a sequence, terms common to two sequences, and questions combining terms that may be part of both an arithmetic progression and a geometric progression. You may also be tested on series and sequence defined by a rule.

1. What is 24th term of an arithmetic sequence if its 11th term is 29 and its 31st term is 169?

   1. 140
   2. 120
   3. 91
   4. 112
   5. 76
   • Correct AnswerChoice (B).
     The 24th term of the sequence is 120. Correct answer
   • Explanatory Answer
   • Arithmetic Progression
   • Easy

2. What is the sum of the first 25 terms of an arithmetic sequence if the sum of its 8th and 18th term is 72?

   1. 1800
   2. 600
   3. 900
   4. 936
   5. 450
   • Correct AnswerChoice (C).
     The sum of the first 25 terms is 900. Correct answer
   • Explanatory Answer
   • Sum of an AP
   • Medium

3. What is the 6th term of a geometric sequence if the difference between its 3rd and 1st term is 9 and that between its 4th and 2nd term is 18?

   1. 24
   2. 3
   3. 2
   4. 48
   5. 96
   • Correct AnswerChoice (E).
     The 6th term of the geometric sequence is 96. Correct answer
   • Explanatory Answer
   • nth term of a GP
   • Medium

4. The first term of an arithmetic sequence is 24 and its common difference is 4. The first term of another arithmetic sequence is 35 and its common difference is 7. What is the 18th term common to both the sequences?

   1. 476
   2. 56
   3. 182
   4. 532
   5. 142
   • Correct AnswerChoice (D).
     The 18th term common to both the sequences is 532. Correct answer
   • Explanatory Answer
   • nth term common to two APs
   • Medium

5. The first term of an arithmetic sequence is 8 and the sum of its first 9 terms is 252. What is the sum of the 41st to the 49th term of the arithmetic sequence?

   1. 4104
   2. 1026
   3. 3852
   4. 456
   5. 2052
   • Correct AnswerChoice (E).
     The sum of the 41st to the 49th term of the AP is 2052. Correct answer
   • Explanatory Answer
   • Sum of terms of an AP
   • Hard