Q.1 What is the next term in the sequence 2, 4, 6, 8, ...?
9
10
11
12
Explanation - This is an arithmetic sequence with common difference 2. The next term after 8 is 10.
Correct answer is: 10
Q.2 The nth term of a sequence is given by a_n = 3n. What is the 5th term?
12
15
18
20
Explanation - Substitute n=5: a_5 = 3 × 5 = 15.
Correct answer is: 15
Q.3 Which type of sequence is 3, 6, 12, 24, ...?
Arithmetic
Geometric
Fibonacci
Harmonic
Explanation - Each term is multiplied by 2, so it's a geometric sequence.
Correct answer is: Geometric
Q.4 Find the common difference in the arithmetic sequence: 7, 11, 15, 19.
2
3
4
5
Explanation - Each term increases by 4.
Correct answer is: 4
Q.5 What is the first term of the sequence defined by a_n = 2n + 1?
1
2
3
4
Explanation - For n=1: a_1 = 2(1)+1 = 3.
Correct answer is: 3
Q.6 If the first term is 5 and the common difference is 3, what is the 10th term?
30
32
33
35
Explanation - a_n = a + (n-1)d = 5 + (10-1)×3 = 5+27 = 32.
Correct answer is: 32
Q.7 Find the sum of the first 5 terms of the sequence: 2, 4, 6, 8, 10.
25
30
35
40
Explanation - Sum = 2+4+6+8+10 = 30.
Correct answer is: 30
Q.8 Which formula represents the nth term of an arithmetic sequence?
a_n = a + (n-1)d
a_n = ar^(n-1)
a_n = n!
a_n = n^2
Explanation - Arithmetic sequence nth term is given by a_n = a + (n-1)d.
Correct answer is: a_n = a + (n-1)d
Q.9 What is the sum of the first 10 natural numbers?
45
50
55
60
Explanation - Sum = n(n+1)/2 = 10×11/2 = 55.
Correct answer is: 55
Q.10 If the first term is 2 and ratio is 3, what is the 4th term of the geometric sequence?
18
54
22
24
Explanation - a_n = ar^(n-1) = 2×3^(4-1) = 2×27 = 54.
Correct answer is: 54
Q.11 Find the next term of 1, 1, 2, 3, 5, 8, ...
11
12
13
14
Explanation - This is the Fibonacci sequence, next term is 5+8 = 13.
Correct answer is: 13
Q.12 Which of these is a harmonic sequence?
1, 1/2, 1/3, 1/4
2, 4, 6, 8
3, 9, 27
1, 3, 6, 10
Explanation - Harmonic sequence terms are reciprocals of arithmetic sequence terms.
Correct answer is: 1, 1/2, 1/3, 1/4
Q.13 Find the 6th term of the arithmetic sequence: 10, 15, 20, 25...
30
35
40
45
Explanation - a_6 = 10 + (6-1)×5 = 10+25 = 35.
Correct answer is: 35
Q.14 Find the sum of the first 5 terms of the geometric sequence: 2, 4, 8, 16, ...
30
60
32
62
Explanation - Sum = (a(r^n – 1))/(r – 1) = (2(2^5–1))/(2–1) = (2×31)/1 = 62.
Correct answer is: 62
Q.15 Which sequence has a constant ratio?
Arithmetic
Geometric
Harmonic
Fibonacci
Explanation - Geometric sequences have a constant ratio between consecutive terms.
Correct answer is: Geometric
Q.16 What is the 8th term of the sequence 3, 6, 9, 12,...?
21
24
27
30
Explanation - a_n = a + (n-1)d = 3 + (8-1)×3 = 24.
Correct answer is: 24
Q.17 If a geometric sequence has a=5 and r=2, find a_6.
80
100
120
160
Explanation - a_6 = 5×2^(6-1) = 5×32 = 160.
Correct answer is: 160
Q.18 Find the common ratio of the sequence: 2, 6, 18, 54.
2
3
4
5
Explanation - Each term is multiplied by 3 to get the next.
Correct answer is: 3
Q.19 Find the 7th term of the Fibonacci sequence.
8
10
11
13
Explanation - Fibonacci sequence: 1,1,2,3,5,8,13. The 7th term is 13.
Correct answer is: 13
Q.20 What is the sum of the first 20 natural numbers?
190
200
210
220
Explanation - Sum = n(n+1)/2 = 20×21/2 = 210.
Correct answer is: 210
Q.21 The nth term of a sequence is given by n^2. What is the 6th term?
25
30
35
36
Explanation - a_6 = 6^2 = 36.
Correct answer is: 36
Q.22 What type of sequence is 1, 4, 9, 16, 25?
Arithmetic
Geometric
Square numbers
Harmonic
Explanation - These are perfect squares of natural numbers.
Correct answer is: Square numbers
Q.23 Find the sum of the first 4 terms of the arithmetic sequence: 7, 10, 13, 16.
42
44
46
48
Explanation - Sum = 7+10+13+16 = 46.
Correct answer is: 46
Q.24 What is the 12th term of an arithmetic sequence with a=3 and d=2?
23
25
27
29
Explanation - a_n = a+(n-1)d = 3+(11×2)=25.
Correct answer is: 25
Q.25 Which sequence is both arithmetic and geometric?
2,2,2,2
1,2,4,8
1,3,5,7
1,1/2,1/3,1/4
Explanation - A constant sequence satisfies both arithmetic (d=0) and geometric (r=1).
Correct answer is: 2,2,2,2