a₅ of 2, 6, 18, ... is:
- 162
- 161
- 160
- 30
Show answer and explanation
Answer: A. 162
a₅ = 2 × 3⁴ = 162.
Matric General Mathematics: Sequences and Series, questions with answers
Practise 22 real Federal Board questions on Sequences and Series from 2023 to 2026. See the answer and explanation as soon as you answer.
22real questions
9multiple choice
5exam sessions
About Sequences and Series in Matric General Mathematics
Sequences and Series is one of the 9 main chapters in our Federal Board Matric General Mathematics question bank (9th class), and about 6% of its real questions come from it. Tayyari Karo has 22 real questions on this chapter from 2023 to 2026; 9 are multiple choice and marked instantly, and the rest are short and long questions with a model answer. By difficulty: 14 medium, 8 easy.
Work through the questions below, then open the explanation for each one. Redo the ones you missed a few days later.
Try 8 real questions
These are real past-paper questions. Think of your answer first, then open the explanation.
Geometric mean of 2, 4 and 8 is:
- 4
- 2
- 8
- 64
Show answer and explanation
Answer: A. 4
(2·4·8)^(1/3) = 64^(1/3) = 4.
What is the 5th term (a₅) of a G.P in which a = 2, r = 3?
- 170
- 168
- 162
- 172
Show answer and explanation
Answer: C. 162
a₅ = 2 × 3⁴ = 162.
a₆ of 3, 7, 11, ... is:
- 3
- 19
- 23
- 20
Show answer and explanation
Answer: C. 23
a₆ = 3 + 5(4) = 23.
If the nth term of an A.P. is 3n − 5 then the common difference is:
- 1
- −2
- 3
- 4
Show answer and explanation
Answer: C. 3
a(n+1) − a(n) = [3(n+1) − 5] − [3n − 5] = 3.
If 2 − x, 3 − 2x, 4 − 3x, ... is an A.P. then d = ?
- 1 + x
- 1 − x
- 2x + 1
- 3x + 1
Show answer and explanation
Answer: B. 1 − x
d = (3 − 2x) − (2 − x) = 1 − x.
Find the a₄₅ of A.P (Arithmetic progression): 6, 4, 2, ...
Show model answer
a = 6, d = −2. a₄₅ = 6 + 44(−2) = 6 − 88 = −82.
Find three A.M between √2 and 6√2.
Show model answer
Five terms: 6√2 = √2 + 4d ⇒ d = 5√2/4.
A.Ms: √2 + 5√2/4 = 9√2/4; 7√2/2 (= 14√2/4); 19√2/4.
Sessions with Sequences and Series questions
| Session | Questions |
|---|---|
| 2026 Annual | 5 |
| 2025 1st Annual | 5 |
| 2025 2nd Annual | 4 |
| 2024 Annual | 4 |
| 2023 Annual | 4 |
Common questions
What does the Sequences and Series chapter cover on this page?
22 real Federal Board (FBISE) General Mathematics questions on Sequences and Series from 2023 to 2026, for 9th class. Each one shows the session it came from.
Are the answers official?
No. We could not find an official FBISE marking scheme for these papers, so the answers and explanations are written by Tayyari Karo for practice. Check anything important with your teacher or textbook.
Is it free?
You can start free with no signup. A small set of papers per subject is free, and Premium unlocks the full question bank.