JEE (Main) Mathematics - Sequence and Series MCQs | Practice Multiple Choice Questions

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JEE (Main) Mathematics - Sequence and Series MCQs (61-75)

In an arithmetic progression, the first term is 7 and the common difference is 5. What is the 12th term?
a) 57
b) 67
c) 62
d) 72
Answer: b) 67
The sum of the first 20 terms of the arithmetic progression 5, 10, 15, 20, … is:
a) 900
b) 950
c) 1000
d) 1100
Answer: c) 1000
In a geometric progression, if the first term is 3 and the common ratio is 2, what is the 6th term?
a) 96
b) 72
c) 54
d) 48
Answer: a) 96
In a geometric progression, if the common ratio is 1/2, and the first term is 16, what is the sum to infinity?
a) 16
b) 24
c) 32
d) 48
Answer: a) 16
The sum of the first 5 terms of the arithmetic progression 12, 18, 24, 30, … is:
a) 120
b) 150
c) 180
d) 200
Answer: b) 150
If the first term of a geometric progression is 4 and the common ratio is 3, the 4th term of the progression is:
a) 108
b) 81
c) 64
d) 48
Answer: a) 108
What is the sum to infinity of the geometric progression 1, 0.5, 0.25, 0.125, …?
a) 1
b) 2
c) 4
d) 3
Answer: a) 1
If the sum of the first 8 terms of an arithmetic progression is 136, and the first term is 8, what is the common difference?
a) 8
b) 6
c) 4
d) 5
Answer: b) 6
The nth term of a geometric progression is given by \( a \times r^{n-1} \). If the first term is 3 and the common ratio is 2, the 7th term is:
a) 192
b) 128
c) 64
d) 48
Answer: b) 128
The sum of the first 10 terms of the arithmetic progression 4, 8, 12, 16, … is:
a) 400
b) 420
c) 440
d) 460
Answer: b) 420
The geometric mean of 9 and 81 is:
a) 27
b) 36
c) 45
d) 54
Answer: a) 27
In a geometric progression, if the first term is 8 and the common ratio is \( \frac{1}{2} \), what is the sum of the first 6 terms?
a) 15.875
b) 16
c) 17
d) 18
Answer: a) 15.875
In an arithmetic progression, if the first term is 3 and the common difference is 4, what is the 20th term?
a) 77
b) 79
c) 80
d) 83
Answer: a) 77
The sum of the first 7 terms of an arithmetic progression is 98. If the first term is 7, what is the common difference?
a) 7
b) 6
c) 8
d) 9
Answer: b) 6
If the geometric mean between two numbers is 6, and one of the numbers is 4, the other number is:
a) 8
b) 10
c) 12
d) 14
Answer: a) 8

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JEE (Main) Mathematics - Sequence and Series MCQs (61-75)

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