JEE (Main) Mathematics - SEQUENCE AND SERIES Multiple Choice Questions (MCQs)
JEE (Main) Mathematics - Sequence and Series MCQs
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1. The sum of the first 20 terms of an arithmetic progression is 200. If the first term is 10, what is the common difference?
- a) 5
- b) 10
- c) 8
- d) 6
Answer: d) 6
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2. The nth term of an arithmetic progression is given by 3n + 2. What is the 15th term of the progression?
- a) 47
- b) 50
- c) 49
- d) 48
Answer: a) 47
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3. If the 5th term and the 9th term of an arithmetic progression are 12 and 20 respectively, what is the common difference?
- a) 2
- b) 1.5
- c) 1
- d) 3
Answer: a) 2
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4. In a geometric progression, the first term is 4, and the common ratio is 2. What is the 6th term?
- a) 64
- b) 128
- c) 32
- d) 256
Answer: a) 64
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5. The sum of the first 10 terms of a geometric progression is 1023. If the first term is 1, what is the common ratio?
- a) 2
- b) 3
- c) 4
- d) 5
Answer: a) 2
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6. In an arithmetic progression, the first term is 3, and the 8th term is 20. What is the common difference?
- a) 2.125
- b) 2.25
- c) 2.5
- d) 2.75
Answer: c) 2.5
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7. The sum of an infinite geometric series is 5, and the first term is 2. What is the common ratio?
- a) 0.5
- b) 0.6
- c) 0.4
- d) 0.3
Answer: a) 0.5
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8. In a geometric progression, the 3rd term is 24 and the 6th term is 192. What is the common ratio?
- a) 2
- b) 3
- c) 4
- d) 5
Answer: b) 3
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9. The sum of the first 15 terms of an arithmetic progression is 210, and the common difference is 4. What is the first term?
- a) 10
- b) 12
- c) 15
- d) 20
Answer: b) 12
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10. The nth term of a geometric progression is given by \( 4 \times 3^{n-1} \). What is the 7th term of the sequence?
- a) 864
- b) 1024
- c) 1280
- d) 1920
Answer: a) 864
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11. If the sum of the first n terms of an arithmetic progression is \( S_n = n(2n+1) \), what is the common difference of the progression?
- a) 2
- b) 3
- c) 4
- d) 5
Answer: b) 3
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12. In an arithmetic progression, if the first term is 5 and the common difference is 3, what is the 10th term?
- a) 30
- b) 35
- c) 40
- d) 45
Answer: b) 35
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13. The sum of the first 12 terms of a geometric progression is 1024, and the first term is 2. What is the common ratio?
- a) 2
- b) 4
- c) 3
- d) 5
Answer: a) 2
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14. In an arithmetic progression, the 6th term is 16 and the 9th term is 25. What is the common difference?
- a) 3
- b) 2
- c) 1.5
- d) 1
Answer: b) 2
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15. The sum of the first 20 terms of a geometric progression is 780. If the first term is 10 and the common ratio is 2, what is the sum of the first 10 terms?
- a) 500
- b) 400
- c) 600
- d) 300
Answer: b) 400
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