100 QUESTIONS AND ANSWERS ON ARITHMETIC SERIES:-
FREQUENTLY ASKED QUESTIONS IN REASONING FOR VARIOUS COMPETITIVE EXAMS IN INDIA (UPSC, SSC, BANKING, PSU, RAILWAY, ETC.).
FOR PRACTICE:
1. QUESTION: WHAT IS THE 10TH TERM OF THE ARITHMETIC SERIES 3, 7, 11, 15, …?
ANSWER: 39
2. QUESTION: FIND THE SUM OF THE FIRST 20 TERMS OF THE ARITHMETIC SERIES 5, 10, 15, 20, ….
ANSWER: 4100
3. QUESTION: WHAT IS THE COMMON DIFFERENCE IN THE SERIES 12, 15, 18, 21, …?
ANSWER: 3
4. QUESTION: IF THE 5TH TERM OF AN ARITHMETIC SERIES IS 25 AND THE COMMON DIFFERENCE IS 3, WHAT IS THE FIRST TERM?
ANSWER: 10
5. QUESTION: FIND THE 25TH TERM OF THE ARITHMETIC SERIES 2, 6, 10, 14, ….
ANSWER: 98
6. QUESTION: THE SUM OF THE FIRST 15 TERMS OF AN ARITHMETIC SERIES IS 300. WHAT IS THE FIRST TERM IF THE COMMON DIFFERENCE IS 4?
ANSWER: 2
7. QUESTION: IF THE FIRST TERM OF AN ARITHMETIC SEQUENCE IS 3 AND THE COMMON DIFFERENCE IS 5, WHAT IS THE SUM OF THE FIRST 10 TERMS?
ANSWER: 275
8. QUESTION: FIND THE 50TH TERM OF THE ARITHMETIC SERIES 7, 10, 13, 16, ….
ANSWER: 157
9. QUESTION: WHAT IS THE COMMON DIFFERENCE OF THE ARITHMETIC SERIES 20, 28, 36, 44, …?
ANSWER: 8
10. QUESTION: IF THE SUM OF THE FIRST 12 TERMS OF AN ARITHMETIC SERIES IS 732 AND THE FIRST TERM IS 6, WHAT IS THE COMMON DIFFERENCE?
ANSWER: 6
11. QUESTION: WHAT IS THE SUM OF THE FIRST 50 TERMS OF THE SERIES 5, 10, 15, 20, …?
ANSWER: 6250
12. QUESTION: THE SUM OF THE FIRST 10 TERMS OF AN ARITHMETIC SERIES IS 150. WHAT IS THE COMMON DIFFERENCE IF THE FIRST TERM IS 5?
- ANSWER: 15
13. QUESTION: FIND THE SUM OF THE FIRST 20 TERMS OF THE ARITHMETIC SERIES 4, 9, 14, 19, ….
ANSWER: 880
14. QUESTION: WHAT IS THE 100TH TERM OF THE ARITHMETIC SERIES 10, 15, 20, 25, …?
ANSWER: 505
15. QUESTION: IN AN ARITHMETIC SEQUENCE, IF THE 1ST TERM IS 8 AND THE 10TH TERM IS 50, WHAT IS THE COMMON DIFFERENCE?
ANSWER: 4.67
16. QUESTION: WHAT IS THE SUM OF THE FIRST 30 TERMS OF THE ARITHMETIC SERIES 8, 14, 20, 26, …?
ANSWER: 4200
17. QUESTION: FIND THE 15TH TERM OF THE ARITHMETIC SERIES 3, 6, 9, 12, ….
ANSWER: 45
18. QUESTION: THE 3RD TERM OF AN ARITHMETIC SERIES IS 10 AND THE COMMON DIFFERENCE IS 5. WHAT IS THE FIRST TERM?
ANSWER: 0
19. QUESTION: IF THE SUM OF THE FIRST 5 TERMS OF AN ARITHMETIC SERIES IS 25, WHAT IS THE COMMON DIFFERENCE IF THE FIRST TERM IS 3?
ANSWER: 4
20. QUESTION: WHAT IS THE 10TH TERM OF THE ARITHMETIC SERIES 8, 11, 14, 17, …?
ANSWER: 35
21. QUESTION: FIND THE SUM OF THE FIRST 15 TERMS OF THE ARITHMETIC SERIES 1, 5, 9, 13, ….
ANSWER: 540
22. QUESTION: THE 7TH TERM OF AN ARITHMETIC SERIES IS 38, AND THE COMMON DIFFERENCE IS 6. WHAT IS THE FIRST TERM?
ANSWER: 10
23. QUESTION: FIND THE 12TH TERM OF THE ARITHMETIC SERIES 3, 9, 15, 21, ….
ANSWER: 69
24. QUESTION: WHAT IS THE SUM OF THE FIRST 10 TERMS OF THE ARITHMETIC SERIES 5, 8, 11, 14, …?
ANSWER: 95
25. QUESTION: IF THE SUM OF THE FIRST 20 TERMS OF AN ARITHMETIC SERIES IS 1000, WHAT IS THE FIRST TERM IF THE COMMON DIFFERENCE IS 5?
ANSWER: 5
26. QUESTION: FIND THE 100TH TERM OF THE ARITHMETIC SERIES 1, 4, 7, 10, ….
ANSWER: 298
27. QUESTION: THE SUM OF THE FIRST 8 TERMS OF AN ARITHMETIC SEQUENCE IS 136. WHAT IS THE FIRST TERM IF THE COMMON DIFFERENCE IS 4?
ANSWER: 12
28. QUESTION: IF THE FIRST TERM OF AN ARITHMETIC SERIES IS 2 AND THE COMMON DIFFERENCE IS 6, WHAT IS THE 25TH TERM?
ANSWER: 146
29. QUESTION: FIND THE SUM OF THE FIRST 20 TERMS OF THE SERIES 6, 11, 16, 21, ….
ANSWER: 1300
30. QUESTION: THE 5TH TERM OF AN ARITHMETIC SERIES IS 22, AND THE COMMON DIFFERENCE IS 4. WHAT IS THE FIRST TERM?
ANSWER: 10
31. QUESTION: WHAT IS THE 30TH TERM OF THE ARITHMETIC SERIES 3, 6, 9, 12, …?
ANSWER: 90
32. QUESTION: IF THE SUM OF THE FIRST 10 TERMS OF AN ARITHMETIC SERIES IS 150, WHAT IS THE COMMON DIFFERENCE IF THE FIRST TERM IS 5?
ANSWER: 15
33. QUESTION: THE 12TH TERM OF AN ARITHMETIC SERIES IS 50, AND THE COMMON DIFFERENCE IS 5. WHAT IS THE FIRST TERM?
ANSWER: 5
34. QUESTION: FIND THE SUM OF THE FIRST 25 TERMS OF THE ARITHMETIC SERIES 2, 6, 10, 14, ….
ANSWER: 1250
35. QUESTION: WHAT IS THE COMMON DIFFERENCE OF THE ARITHMETIC SERIES 5, 15, 25, 35, …?
ANSWER: 10
36. QUESTION: FIND THE 20TH TERM OF THE ARITHMETIC SERIES 10, 20, 30, 40, ….
ANSWER: 200
37. QUESTION: THE SUM OF THE FIRST 8 TERMS OF AN ARITHMETIC SERIES IS 96. IF THE FIRST TERM IS 4, WHAT IS THE COMMON DIFFERENCE?
ANSWER: 12
38. QUESTION: FIND THE 50TH TERM OF THE ARITHMETIC SERIES 5, 15, 25, 35, ….
ANSWER: 495
39. QUESTION: IF THE SUM OF THE FIRST 5 TERMS OF AN ARITHMETIC SEQUENCE IS 35, WHAT IS THE COMMON DIFFERENCE IF THE FIRST TERM IS 5?
ANSWER: 5
40. QUESTION: THE 6TH TERM OF AN ARITHMETIC SERIES IS 30, AND THE COMMON DIFFERENCE IS 6. WHAT IS THE FIRST TERM?
ANSWER: 4
41. QUESTION: FIND THE SUM OF THE FIRST 100 TERMS OF THE SERIES 1, 2, 3, 4, ….
ANSWER: 5050
42. QUESTION: IF THE SUM OF THE FIRST 8 TERMS OF AN ARITHMETIC SERIES IS 64 AND THE FIRST TERM IS 4, WHAT IS THE COMMON DIFFERENCE?
ANSWER: 8
43. QUESTION: FIND THE 15TH TERM OF THE ARITHMETIC SERIES 7, 10, 13, 16, ….
ANSWER: 52
44. QUESTION: WHAT IS THE SUM OF THE FIRST 20 TERMS OF THE SERIES 4, 8, 12, 16, …?
ANSWER: 840
45. QUESTION: THE 10TH TERM OF AN ARITHMETIC SERIES IS 40, AND THE COMMON DIFFERENCE IS 5. WHAT IS THE FIRST TERM?
ANSWER: 5
46. QUESTION: FIND THE SUM OF THE FIRST 50 TERMS OF THE SERIES 4, 7, 10, 13, ….
ANSWER: 6250
47. QUESTION: THE SUM OF THE FIRST 6 TERMS OF AN ARITHMETIC SERIES IS 72, AND THE FIRST TERM IS 4. WHAT IS THE COMMON DIFFERENCE?
ANSWER: 12
48. QUESTION: FIND THE 30TH TERM OF THE ARITHMETIC SERIES 3, 6, 9, 12, ….
ANSWER: 87
49. QUESTION: WHAT IS THE SUM OF THE FIRST 25 TERMS OF THE SERIES 5, 10, 15, 20, …?
ANSWER: 1625
50. QUESTION: THE 7TH TERM OF AN ARITHMETIC SERIES IS 35, AND THE COMMON DIFFERENCE IS 4. WHAT IS THE FIRST TERM?
ANSWER: 11
51. QUESTION: WHAT IS THE COMMON DIFFERENCE OF THE ARITHMETIC SERIES 6, 8, 10, 12, …?
ANSWER: 2
52. QUESTION: FIND THE SUM OF THE FIRST 40 TERMS OF THE ARITHMETIC SERIES 9, 13, 17, 21, ….
ANSWER: 3200
53. QUESTION: THE SUM OF THE FIRST 12 TERMS OF AN ARITHMETIC SEQUENCE IS 222, AND THE FIRST TERM IS 2. WHAT IS THE COMMON DIFFERENCE?
ANSWER: 18
54. QUESTION: FIND THE SUM OF THE FIRST 18 TERMS OF THE ARITHMETIC SERIES 2, 6, 10, 14, ….
ANSWER: 936
55. QUESTION: IF THE SUM OF THE FIRST 25 TERMS OF AN ARITHMETIC SERIES IS 1750, WHAT IS THE FIRST TERM IF THE COMMON DIFFERENCE IS 5?
ANSWER: 15
56. QUESTION: FIND THE 40TH TERM OF THE ARITHMETIC SERIES 5, 10, 15, 20, ….
ANSWER: 200
57. QUESTION: IF THE FIRST TERM OF AN ARITHMETIC SERIES IS 8 AND THE COMMON DIFFERENCE IS 7, WHAT IS THE 15TH TERM?
ANSWER: 98
58. QUESTION: WHAT IS THE SUM OF THE FIRST 35 TERMS OF THE ARITHMETIC SERIES 2, 6, 10, 14, …?
ANSWER: 3150
59. QUESTION: FIND THE SUM OF THE FIRST 5 TERMS OF THE ARITHMETIC SERIES 8, 11, 14, 17, ….
ANSWER: 70
60. QUESTION: WHAT IS THE 14TH TERM OF THE ARITHMETIC SERIES 6, 9, 12, 15, …?
ANSWER: 51
61. QUESTION: IF THE FIRST TERM OF AN ARITHMETIC SERIES IS 2 AND THE COMMON DIFFERENCE IS 3, WHAT IS THE SUM OF THE FIRST 100 TERMS?
ANSWER: 15100
62. QUESTION: FIND THE SUM OF THE FIRST 10 TERMS OF THE ARITHMETIC SERIES 12, 18, 24, 30, …?
ANSWER: 270
63. QUESTION: THE 10TH TERM OF AN ARITHMETIC SERIES IS 60, AND THE COMMON DIFFERENCE IS 6. WHAT IS THE FIRST TERM?
ANSWER: 6
64. QUESTION: IF THE SUM OF THE FIRST 100 TERMS OF AN ARITHMETIC SERIES IS 5050, WHAT IS THE FIRST TERM?
ANSWER: 1
65. QUESTION: FIND THE 6TH TERM OF THE ARITHMETIC SERIES 10, 14, 18, 22, ….
ANSWER: 30
66. QUESTION: FIND THE SUM OF THE FIRST 25 TERMS OF THE ARITHMETIC SERIES 5, 9, 13, 17, …?
ANSWER: 1625
67. QUESTION: WHAT IS THE SUM OF THE FIRST 15 TERMS OF THE ARITHMETIC SERIES 5, 9, 13, 17, …?
ANSWER: 450
68. QUESTION: FIND THE 12TH TERM OF THE ARITHMETIC SERIES 4, 7, 10, 13, …?
ANSWER: 39
69. QUESTION: WHAT IS THE SUM OF THE FIRST 15 TERMS OF THE ARITHMETIC SERIES 2, 5, 8, 11, …?
ANSWER: 465
70. QUESTION: FIND THE 20TH TERM OF THE ARITHMETIC SERIES 2, 6, 10, 14, …?
ANSWER: 78
71. QUESTION: IF THE FIRST TERM OF AN ARITHMETIC SERIES IS 7 AND THE COMMON DIFFERENCE IS 3, WHAT IS THE 30TH TERM?
ANSWER: 88
72. QUESTION: WHAT IS THE SUM OF THE FIRST 30 TERMS OF THE ARITHMETIC SERIES 8, 15, 22, 29, …?
ANSWER: 4650
73. QUESTION: THE SUM OF THE FIRST 10 TERMS OF AN ARITHMETIC SERIES IS 210. WHAT IS THE COMMON DIFFERENCE IF THE FIRST TERM IS 3?
ANSWER: 21
74. QUESTION: WHAT IS THE SUM OF THE FIRST 12 TERMS OF THE SERIES 7, 9, 11, 13, …?
ANSWER: 156
75. QUESTION: FIND THE 50TH TERM OF THE ARITHMETIC SERIES 9, 12, 15, 18, …?
ANSWER: 150
76. QUESTION: THE 5TH TERM OF AN ARITHMETIC SERIES IS 16, AND THE COMMON DIFFERENCE IS 4. WHAT IS THE FIRST TERM?
ANSWER: 4
77. QUESTION: FIND THE SUM OF THE FIRST 30 TERMS OF THE SERIES 2, 5, 8, 11, …?
ANSWER: 1380
78. QUESTION: WHAT IS THE COMMON DIFFERENCE OF THE ARITHMETIC SERIES 12, 15, 18, 21, …?
ANSWER: 3
79. QUESTION: THE 5TH TERM OF AN ARITHMETIC SERIES IS 20, AND THE COMMON DIFFERENCE IS 3. WHAT IS THE FIRST TERM?
ANSWER: 11
80. QUESTION: WHAT IS THE SUM OF THE FIRST 25 TERMS OF THE ARITHMETIC SERIES 6, 9, 12, 15, …?
ANSWER: 1125
81. QUESTION: THE SUM OF THE FIRST 6 TERMS OF AN ARITHMETIC SERIES IS 90, AND THE COMMON DIFFERENCE IS 10. WHAT IS THE FIRST TERM?
ANSWER: 40
82. QUESTION: FIND THE SUM OF THE FIRST 50 TERMS OF THE SERIES 4, 7, 10, 13, …?
ANSWER: 6250
83. QUESTION: WHAT IS THE 18TH TERM OF THE ARITHMETIC SERIES 3, 7, 11, 15, …?
ANSWER: 67
84. QUESTION: FIND THE SUM OF THE FIRST 100 TERMS OF THE ARITHMETIC SERIES 3, 6, 9, 12, …?
ANSWER: 15000
85. QUESTION: WHAT IS THE COMMON DIFFERENCE OF THE ARITHMETIC SERIES 1, 5, 9, 13, …?
ANSWER: 4
86. QUESTION: WHAT IS THE SUM OF THE FIRST 25 TERMS OF THE SERIES 4, 10, 16, 22, …?
ANSWER: 1625
87. QUESTION: THE 8TH TERM OF AN ARITHMETIC SERIES IS 40, AND THE COMMON DIFFERENCE IS 5. WHAT IS THE FIRST TERM?
ANSWER: 5
88. QUESTION: WHAT IS THE SUM OF THE FIRST 15 TERMS OF THE SERIES 10, 12, 14, 16, …?
ANSWER: 375
89. QUESTION: FIND THE 9TH TERM OF THE ARITHMETIC SERIES 5, 10, 15, 20, …?
ANSWER: 45
90. QUESTION: FIND THE SUM OF THE FIRST 10 TERMS OF THE SERIES 3, 6, 9, 12, …?
ANSWER: 300
91. QUESTION: WHAT IS THE COMMON DIFFERENCE OF THE ARITHMETIC SERIES 6, 8, 10, 12, …?
ANSWER: 2
92. QUESTION: THE SUM OF THE FIRST 9 TERMS OF AN ARITHMETIC SERIES IS 81, AND THE FIRST TERM IS 6. WHAT IS THE COMMON DIFFERENCE?
ANSWER: 9
93. QUESTION: WHAT IS THE SUM OF THE FIRST 12 TERMS OF THE SERIES 1, 3, 5, 7, …?
ANSWER: 72
94. QUESTION: THE SUM OF THE FIRST 10 TERMS OF AN ARITHMETIC SERIES IS 200. WHAT IS THE COMMON DIFFERENCE IF THE FIRST TERM IS 5?
ANSWER: 20
95. QUESTION: FIND THE SUM OF THE FIRST 20 TERMS OF THE SERIES 5, 10, 15, 20, …?
ANSWER: 2100
96. QUESTION: WHAT IS THE 12TH TERM OF THE ARITHMETIC SERIES 8, 15, 22, 29, …?
ANSWER: 101
97. QUESTION: THE SUM OF THE FIRST 5 TERMS OF AN ARITHMETIC SERIES IS 75. WHAT IS THE COMMON DIFFERENCE IF THE FIRST TERM IS 10?
ANSWER: 15
98. QUESTION: WHAT IS THE 15TH TERM OF THE ARITHMETIC SERIES 4, 9, 14, 19, …?
ANSWER: 69
99. QUESTION: FIND THE SUM OF THE FIRST 50 TERMS OF THE SERIES 2, 6, 10, 14, …?
ANSWER: 6250
100. QUESTION: WHAT IS THE COMMON DIFFERENCE OF THE ARITHMETIC SERIES 7, 10, 13, 16, …?
ANSWER: 3
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