JEE Main Mathematics - Sequence and Series: MCQs

Questions 46 to 60

46. What is the 10th term of the arithmetic progression 3, 6, 9, 12, …?
    • a) 30
    • b) 29
    • c) 28
    • d) 27
    Answer: a) 30
47. If the first term of a geometric progression is 5 and the common ratio is 3, what is the 5th term?
    • a) 375
    • b) 100
    • c) 243
    • d) 60
    Answer: c) 243
48. The sum of the first 6 terms of the arithmetic progression 6, 10, 14, 18, … is:
    • a) 72
    • b) 78
    • c) 84
    • d) 88
    Answer: b) 78
49. In a geometric progression, if the 3rd term is 16 and the 5th term is 64, what is the common ratio?
    • a) 2
    • b) 3
    • c) 4
    • d) 5
    Answer: a) 2
50. What is the sum to infinity of the geometric progression 1, 0.5, 0.25, 0.125, ...?
    • a) 2
    • b) 1
    • c) 4
    • d) 3
    Answer: b) 1
51. The sum of the first 15 terms of the arithmetic progression 5, 10, 15, 20, … is:
    • a) 1050
    • b) 1100
    • c) 1150
    • d) 1200
    Answer: c) 1150
52. The general term of the geometric progression 2, 6, 18, 54, ... is given by:
    • a) \( 2 \times 3^n \)
    • b) \( 2 \times 3^{n-1} \)
    • c) \( 3 \times 2^n \)
    • d) \( 2 \times 3^{n+1} \)
    Answer: b) \( 2 \times 3^{n-1} \)
53. In a geometric progression, if the first term is 1 and the common ratio is \( \frac{1}{2} \), what is the sum to infinity?
    • a) 1
    • b) 2
    • c) 4
    • d) 3
    Answer: a) 1
54. If the sum of the first 8 terms of an arithmetic progression is 120, and the first term is 10, what is the common difference?
    • a) 5
    • b) 3
    • c) 4
    • d) 6
    Answer: c) 4
55. In a geometric progression, if the first term is 3 and the common ratio is 2, what is the 6th term?
    • a) 96
    • b) 192
    • c) 48
    • d) 72
    Answer: a) 96
56. The sum of the first 5 terms of the arithmetic progression 12, 17, 22, 27, … is:
    • a) 70
    • b) 75
    • c) 80
    • d) 85
    Answer: b) 75
57. In an arithmetic progression, the first term is 6 and the common difference is 5. What is the 15th term?
    • a) 71
    • b) 75
    • c) 80
    • d) 85
    Answer: b) 75
58. The sum of an infinite geometric progression is 6, and the first term is 2. What is the common ratio?
    • a) \( \frac{1}{3} \)
    • b) \( \frac{1}{2} \)
    • c) \( \frac{2}{3} \)
    • d) \( \frac{1}{4} \)
    Answer: a) \( \frac{1}{3} \)
59. The geometric mean of 4 and 36 is:
    • a) 12
    • b) 8
    • c) 10
    • d) 9
    Answer: d) 9

   l    Next Page >>

Note/Caution: studentsbizz.com does not promise a job or an interview in exchange for money. Fraudsters may ask you to pay under the pretext of a registration fee or refundable fee, but please be aware that legitimate employers will not require such payments.

Join in Our Groups

Home Latest Jobs Syllabus Projects Previous Question Papers Entrance Exam Notifications Multiple Choice Question

@ 2025 Students Bizz Platform. All Rights Reserved.