Sequence and Series MCQs
Sequence and Series MCQs
Answer these #+ Sequence and Series MCQs and see how sharp is your knowledge of Sequence and Series.
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1: What is a possible value for the missing term of the geometric sequence 50 ___ 450
A. 250
B. 50
C. 150
D. 350
2: The missing number in the series 9, ____, 6561, 43046721 is
A. 81
B. 25
C. 31
D. 91
3: 3 6 12 6 12 24 18 ___
A. 12
B. 24
C. 36
D. 48
4: The following sequence, 1, 1, 1, etc., is an example of a(n) ____ series.
A. Linear
B. Auto fill
C. Test Data
D. None of these
5: What is the common difference in an arithmetic sequence?
A. The sum of all the terms in the sequence
B. The difference between any two consecutive terms
C. The product of all the terms in the sequence
D. The ratio of any two consecutive terms
6: Which of the following is an arithmetic sequence?
A. 2, 4, 6, 8, 10
B. 1, 4, 9, 16, 25
C. 3, 6, 12, 24, 48
D. 1, 3, 6, 10, 15
7: What is the formula to find the nth term (an) of an arithmetic sequence with the first term (a₁) and common difference (d)?
A. an = a₁ + d
B. an = a₁ * d^n
C. an = a₁ + (n - 1) * d
D. an = a₁ * (n - 1) * d
8: What is the sum of the first 'n' terms in an arithmetic sequence with the first term (a₁) and common difference (d)?
A. Sn = n(a₁ + d)
B. Sn = n(a₁ * d)
C. Sn = n(a₁ + aₙ)
D. Sn = n(a₁ * aₙ)
9: What is the common ratio in a geometric sequence?
A. The sum of all the terms in the sequence
B. The difference between any two consecutive terms
C. The product of any two consecutive terms
D. The ratio of any two consecutive terms
10: Which of the following is a geometric sequence?
A. 1, 2, 3, 4, 5
B. 2, 4, 6, 8, 10
C. 2, 6, 18, 54, 162
D. 3, 9, 27, 81, 243
11: What is the formula to find the nth term (an) of a geometric sequence with the first term (a₁) and common ratio (r)?
A. an = a₁ + r
B. an = a₁ * r^n
C. an = a₁ + (n - 1) * r
D. an = a₁ * r^(n - 1)
12: What is the formula to find the sum of the first 'n' terms in a geometric sequence with the first term (a₁) and common ratio (r)?
A. Sn = n(a₁ + r)
B. Sn = n(a₁ * r)
C. Sn = a₁ + aₙ
D. Sn = a₁ * (1 - r^n) / (1 - r)
13: If the first term of an arithmetic sequence is 5 and the common difference is 3, what is the 10th term (a₁₀)?
A. 35
B. 30
C. 32
D. 32
14: If the first term of a geometric sequence is 2 and the common ratio is 3, what is the sum of the first 5 terms (S₅)?
A. 121
B. 40
C. 242
D. 36
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