- 1. What is the 10th term of the AP: 2, 5, 8, 11...?
A) 27
B) 31
C) 29
D) 33
- 2. In a Geometric Progression, the ratio between consecutive terms is called:
A) Common difference
B) Common ratio
C) Sequence gap
D) Constant factor
- 3. Find the common difference in the AP: 10, 7, 4, 1...
A) 3
B) 2
C) -3
D) -2
- 4. Which of these is a geometric progression?
A) 2, 4, 8, 16
B) 5, 10, 15, 20
C) 2, 4, 8, 16
D) 1, 2, 3, 4
- 5. The formula for the nth term of an AP is
A) a + (n)d
B) n/2(2a + d)
C) arn-1
D) a + (n-1)d
- 6. If the first term of a GP is 3 and the common ratio is 2, what is the 4th term?
A) 16
B) 18
C) 12
D) 24
- 7. Find the sum of the first 5 terms of the AP: 1, 3, 5...
A) 25
B) 30
C) 20
D) 24
- 8. What is the next term in the sequence: 1/2, 1/4, 1/8...?
A) 1/12
B) 1/20
C) 1/16
D) 1/10
- 9. If a=5 and d=4 in an AP, find the 20th term.
A) 81
B) 77
C) 76
D) 85
- 10. In the GP 5, -10, 20, -40, the common ratio (r) is:
A) 5
B) 2
C) -5
D) -2
- 11. Find the 15th term of the sequence: 40, 35, 30, 25...
A) -30
B) -25
C) -40
D) -35
- 12. The formula for the sum of an infinite GP (where |r| < 1) is:
A) n/2(a + l)
B) arn-1
C) a(rn - 1) / (r - 1)
D) a / (1 - r)
- 13. If the 3rd term of an AP is 8 and the 4th term is 11, what is the first term?
A) 1
B) 5
C) 2
D) 3
- 14. Find the common ratio of the GP: 9, 3, 1, 1/3...
A) 1/9
B) 3
C) 1/3
D) -3
- 15. What is the sum of the first 100 natural numbers?
A) 4950
B) 5000
C) 5100
D) 5050
- 16. A sequence where each term is found by multiplying the previous term by a constant is:
A) Fibonacci
B) Geometric
C) Arithmetic
D) Linear
- 17. If a=2, r=3, find the 5th term of the GP.
A) 30
B) 162
C) 54
D) 486
- 18. Find the number of terms in the AP: 2, 4, 6, ..., 40.
A) 19
B) 21
C) 22
D) 20
- 19. Which term of the AP 3, 8, 13... is 73?
A) 14th
B) 15th
C) 16th
D) 13th
- 20. The first term of a GP is 7 and the common ratio is 1. The 100th term is:
A) 100
B) 7
C) 1
D) 107
- 21. Find the arithmetic mean of 10 and 20.
A) 15
B) 18
C) 25
D) 12
- 22. Find the geometric mean of 4 and 16.
A) 8
B) 10
C) 64
D) 12
- 23. If x, 8, 12 are in AP, find x.
A) 6
B) 10
C) 2
D) 4
- 24. If 2, x, 18 are in GP, find the positive value of x.
A) 9
B) 8
C) 10
D) 6
- 25. Find the 6th term of 1, 4, 16, 64...
A) 256
B) 512
C) 4096
D) 1024
- 26. In an AP, if d=0, the sequence is:
A) Infinite
B) Constant
C) Decreasing
D) Increasing
- 27. The sum of the first 10 terms of 2, 4, 6, 8... is:
A) 90
B) 110
C) 120
D) 100
- 28. The sum of an AP is n/2(a + L). What does L stand for?
A) Lowest term
B) Linear factor
C) Last term
D) Least term
- 29. If a=3 and d=5, find S4.
A) 52
B) 32
C) 42
D) 62
- 30. If the common difference of an AP is 5, and the 10th term is 50, what is the 1st term?
A) 10
B) 5
C) 45
D) 0
- 31. If a=2 and r=-1, the sequence is:
A) 2, 4, 8...
B) 2, 1, 0, -1...
C) 2, -2, 2, -2...
D) -2, -2, -2...
- 32. Find the 20th term of the AP: 0, 0.5, 1.0, 1.5...
A) 9.0
B) 10.5
C) 10.0
D) 9.5
- 33. What is the common ratio of the GP: x, x2, x3?
A) x2
B) x
C) 2x
D) 1
- 34. Find the sum to infinity of 1 + 1/2 + 1/4 + 1/8...
A) 2
B) 1.5
C) Infinite
D) 3
- 35. Find the 3rd term of an AP where S_n = n2 + n.
A) 4
B) 12
C) 6
D) 8
- 36. What is the geometric mean of 1 and 100?
A) 50
B) 50.5
C) 100
D) 10
- 37. In an AP, if a=5 and the 5th term is 25, find d.
A) 4
B) 6
C) 3
D) 5
- 38. Which of these is an AP?
A) 2, 4, 16, 256
B) 1, 3, 9, 27
C) 5, 10, 15, 20
D) 1, 2, 4, 8
- 39. Find the common difference of 0.1, 0.11, 0.12...
A) 0.001
B) 0.01
C) 0.1
D) 1
- 40. If the sum of 3 numbers in AP is 15, the middle number is:
A) 7
B) 5
C) 3
D) 10
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