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

3

4

5

2

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

64

512

128

256

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

16

18

20

14

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

16

64

8

32

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

Sₙ = n²

Sₙ = a + nd

Sₙ = arⁿ⁻¹

Sₙ = n(a + l)/2

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

52

60

48

64

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

56

70

49

63

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

160

40

20

80

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

5, 10, 20

1, 2, 3, 4

8, 4, 2, 1

2, 4, 8

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10. If Tn = 4n – 1, find T6

24

25

22

23

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

10, 20, 40

64, 32, 16, 8

5, 10, 15

100, 90, 80

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

10

8

12

16

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

60

45

50

55

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

3

√2

2

4

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

20.5

40.5

45

27

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

5

11

8

14

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

27

29

19

23

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18. Find the 4th term of Tn = 2n² – 3

14

15

16

13

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

1, 4, 9, 16

1, 2, 3, 4

2, 4, 8, 16

1, 3, 5, 7

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

11

9

7

5

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21. Sum of first 5 odd numbers is:

20

25

10

15

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

7290

405

3645

1215

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

2

0

5

1

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

14

16

17

15

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

60

40

50

30

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

27

12

36

48

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

20

21

18

42

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28. Which of the following is a geometric sequence?

3, 6, 10, 15

1, 2, 4, 8

5, 10, 20, 35

2, 4, 6, 8

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

108

90

81

99

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30. Find the sum of first 5 odd numbers.

15

25

20

30

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

30

40

35

25

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32. The sum of first n even numbers is:

2n

n(n–1)

n(n+1)

n²

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

18

20

15

25

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34. Which formula represents a geometric sequence?

Tn = 3n + 1

Tn = 2ⁿ

Tn = 2n

Tn = n²

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35. If Tn = 6n – 5, find T3

17

19

13

15

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

2048

512

1024

256

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

4

2

3

5

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

32

36

49

30

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

12

8

10

9

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

3

5

6

4

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41. If Tn = 7n – 4, what is T8?

54

58

52

56

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

17

20

18

15

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

26

28

27

29

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

2, 4, 8, 16

4, 7, 10, 13

3, 6, 9, 12

3, 5, 7, 9

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

3, 6, 9, 12

5, 10, 20, 40

7, 14, 21, 28

10, 20, 30, 40

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

50

47

45

55

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

130

100

110

120

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48. Which of the following is an arithmetic sequence?

2, 4, 6, 8

1, 2, 4, 8

10, 20, 40

3, 9, 27

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

90

100

84

96

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

18

20

32

24

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