Question Paper
Class / Subject: Class 10 (ICSE) · Mathematics
Chapter: Chapter 11 — Chapter 11: Geometric Progression
Time Allowed: 32 minutes
Max Marks: 16
1. What is a geometric progression? [1]
(A) A sequence with a constant common ratio
(B) A sequence with a constant common difference
(C) A sequence with no pattern
(D) A sequence that always decreases
2. What is the nth term formula for a GP? [1]
(A) aₙ = a×r^(n-1)
(B) aₙ = a + (n-1)d
(C) aₙ = a × n
(D) aₙ = a - r
3. What is the common ratio in 2,6,18,54? [1]
(A) 3
(B) 2
(C) 6
(D) 18
4. What is the 4th term of GP with a=2, r=3? [1]
(A) 54
(B) 18
(C) 6
(D) 162
5. What is the sum formula for a GP? [1]
(A) Sₙ = a(rⁿ-1)/(r-1)
(B) Sₙ = n/2 × [2a+(n-1)d]
(C) Sₙ = a × n × r
(D) Sₙ = a + r
6. What real-life situation uses GP? [1]
(A) Compound interest growth
(B) Only linear growth
(C) Nothing real-life
(D) Only geometry
7. What else follows GP patterns? [1]
(A) Radioactive decay
(B) Only compound interest
(C) Nothing else
(D) Only population growth
8. Why learn geometric progressions? [1]
(A) To model growth and decay patterns
(B) No reason
(C) It's not useful
(D) Only for tests
9. What is a geometric progression? [1]
(A) A sequence with a constant common ratio
(B) A sequence with a constant common difference
(C) A sequence with no pattern
(D) A sequence that always decreases
10. What is the nth term formula for a GP? [1]
(A) aₙ = a×r^(n-1)
(B) aₙ = a + (n-1)d
(C) aₙ = a × n
(D) aₙ = a - r
11. What is the common ratio in 2,6,18,54? [1]
(A) 3
(B) 2
(C) 6
(D) 18
12. What is the 4th term of GP with a=2, r=3? [1]
(A) 54
(B) 18
(C) 6
(D) 162
13. What is the sum formula for a GP? [1]
(A) Sₙ = a(rⁿ-1)/(r-1)
(B) Sₙ = n/2 × [2a+(n-1)d]
(C) Sₙ = a × n × r
(D) Sₙ = a + r
14. What real-life situation uses GP? [1]
(A) Compound interest growth
(B) Only linear growth
(C) Nothing real-life
(D) Only geometry
15. What else follows GP patterns? [1]
(A) Radioactive decay
(B) Only compound interest
(C) Nothing else
(D) Only population growth
16. Why learn geometric progressions? [1]
(A) To model growth and decay patterns
(B) No reason
(C) It's not useful
(D) Only for tests