Quantitative Reasoning Sequences and Series Online Test MCQs

Quantitative Reasoning Aptitude Test

Quantitative Reasoning tests are designed to assess a candidate’s numerical problem-solving skills, logic, and analytical thinking. Among the key areas, Sequences and Series form a crucial part of the syllabus in most aptitude and entrance exams, such as ETEA, NTS, ECAT, and university admissions tests.

Sequences and Series Test Online

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1. The 5th term of an arithmetic sequence is 20 and the common difference is 3. What is the first term?

14

11

5

8

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2. A geometric series has a = 3, r = 4. Find the 3rd term.

36

27

48

12

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3. What is the formula for the sum of an arithmetic series?

Sₙ = arⁿ⁻¹

Sₙ = n²

Sₙ = n(a + l)/2

Sₙ = a + nd

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4. Which of the following is a decreasing geometric sequence?

64, 32, 16, 8

10, 20, 40

5, 10, 15

100, 90, 80

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5. In a geometric sequence, if a = 5 and r = 2, what is T4?

20

160

40

80

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6. What is the next term in the series: 0.5, 1.5, 4.5, 13.5...?

45

20.5

27

40.5

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7. Find the 8th term of the sequence: 7, 14, 21, ...?

70

63

49

56

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8. What is the sum of 6 + 12 + 18 + 24 + 30?

96

84

90

100

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9. Which formula represents a geometric sequence?

Tn = 2n

Tn = n²

Tn = 2ⁿ

Tn = 3n + 1

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10. If a sequence is: 5, 15, 45, 135, ..., what is the 6th term?

1215

405

7290

3645

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11. What is the 3rd term of the sequence: 11, 9, 7, 5, ...?

7

11

9

5

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12. Find the 9th term of the sequence: 2, 5, 8, 11, ...

26

29

28

27

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13. The nth term of a sequence is Tn = n² + 1. What is T3?

10

8

12

9

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14. What is the common difference in the arithmetic sequence: 12, 17, 22, 27...?

6

5

3

4

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15. Find the 10th term of the geometric sequence: 2, 4, 8, 16, ...

512

1024

2048

256

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16. Find the 4th term of Tn = 2n² – 3

15

14

13

16

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17. Which sequence represents the formula Tn = 3n + 1?

3, 6, 9, 12

4, 7, 10, 13

2, 4, 8, 16

3, 5, 7, 9

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18. Find the sum of the first 3 terms of the geometric sequence: 4, 12, 36

60

52

48

64

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19. Sum of first 5 odd numbers is:

10

25

20

15

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20. If the sum of the first 4 terms of a geometric sequence is 30 and the terms are: 2, 4, 8, x. Find x.

14

16

20

18

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21. If Tn = 6n – 5, find T3

19

15

13

17

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22. What is the 7th term of the sequence where a = 4 and r = 2?

128

256

64

512

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23. The nth term of a geometric sequence is Tn = 2ⁿ. What is T4?

12

10

8

16

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24. A sequence has Tn = 5n. What is the 6th term?

30

35

40

25

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25. The sum of a geometric series is 31, and its terms are 1, 2, 4, 8, ... What is the last term?

32

64

16

8

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26. In an arithmetic sequence if a = 2, d = 5, find T10

50

55

47

45

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27. Which of the following is an arithmetic sequence?

3, 9, 27

1, 2, 4, 8

10, 20, 40

2, 4, 6, 8

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28. The 2nd term of a geometric sequence is 6 and the 4th term is 24. What is the common ratio?

3

4

2

√2

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29. Which of the following is a geometric sequence?

2, 4, 6, 8

3, 6, 10, 15

5, 10, 20, 35

1, 2, 4, 8

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30. What is the 5th term of the geometric sequence: 1, 3, 9, 27...?

99

81

108

90

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31. What is the sum of the first 6 terms of the sequence: 2, 4, 6, 8, 10, 12?

42

20

18

21

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32. If the nth term of a sequence is given by Tn = 3n + 2, what is T5?

17

20

18

15

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33. Which of the following sequences has a common ratio of 0.5?

5, 10, 20

1, 2, 3, 4

2, 4, 8

8, 4, 2, 1

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34. Find the sum of first 5 odd numbers.

30

25

20

15

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35. What is the common ratio of the sequence: 1, 3, 9, 27?

3

2

5

4

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36. In which sequence is the sum of the first n terms equal to n²?

1, 2, 3, 4

1, 4, 9, 16

2, 4, 8, 16

1, 3, 5, 7

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37. If Tn = 7n – 4, what is T8?

52

54

58

56

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38. What is the common difference in the sequence: –2, 1, 4, 7...?

4

2

5

3

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39. What is the next number in the series: 81, 27, 9, 3, ?

5

2

0

1

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40. Which term of the sequence 5, 10, 15, 20, ... is 100?

18

25

15

20

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41. If Tn = 4n – 1, find T6

24

23

22

25

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42. The sum of the first 4 terms of 5, 10, 15, ... is:

40

60

50

30

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43. The sum of first n even numbers is:

n(n+1)

n²

n(n–1)

2n

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44. What is the next term in the sequence: 1, 4, 9, 16, 25, ?

30

49

32

36

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45. What is the 6th term in the arithmetic sequence: 3, 7, 11, 15, ... ?

19

23

29

27

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46. What is the sum of the first 10 even numbers?

100

110

120

130

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47. What is the sum of the first 10 natural numbers?

55

60

50

45

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48. What is the next term in the sequence: 2, 4, 8, 16, ?

24

18

20

32

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49. Which of the following is not an arithmetic sequence?

7, 14, 21, 28

10, 20, 30, 40

5, 10, 20, 40

3, 6, 9, 12

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50. Find the sum of first 4 terms of the geometric sequence: 1, 2, 4, 8

17

15

14

16

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