Progression Questions and Answers updated daily – Aptitude
Progression Questions: Solved 91 Progression Questions and answers section with explanation for various online exam preparation, various interviews, Aptitude Category online test. Category Questions section with detailed description, explanation will help you to master the topic.
Progression Questions
41. In an arithmetic progression the first term is 7 and its common difference is 3. If the general term is (a_n) , find a_20 - a_13.
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Correct Ans:21
Explanation:
Given a = 7 and common difference = 3.
General Term a_n = a +(n-1)d
a_n = 7 + 3(n-1) = 3n + 4
a_20 = 60 + 4=64
a_13 = 39 + 4 = 43
a_20 - a_13 = 21
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42. In an arithmetic progression the first term is 6 and its common difference is 3. If the general term is (a_n) , find a_20 - a_11.
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Correct Ans:27
Explanation:
Given a = 6 and common difference = 3.
General Term a_n = a +(n-1)d
a_n = 6 + 3(n-1) = 3n + 3
a_20 = 60 + 3=63
a_11 = 33 + 3 = 36
a_20 - a_11 = 27
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43. In an arithmetic progression the first term is 5 and its common difference is 3. If the general term is (a_n) , find a_18 - a_13.
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Correct Ans:15
Explanation:
Given a = 5 and common difference = 3.
General Term a_n = a +(n-1)d
a_n = 5 + 3(n-1) = 3n + 2
a_18 = 54 + 2=56
a_13 = 39 + 2 = 41
a_18 - a_13 = 15
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44. In an arithmetic progression the first term is 7 and its common difference is 3. If the general term is an , find a_20 - a_11.
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Correct Ans:27
Explanation:
Given a = 7 and common difference = 3.
General Term an = a +(n-1)d
an = 7 + 3(n-1) = 3n + 4
a20 = 60 + 4=64
a11 = 33 + 4 = 37
a20 - a11 = 27
General Term an = a +(n-1)d
an = 7 + 3(n-1) = 3n + 4
a20 = 60 + 4=64
a11 = 33 + 4 = 37
a20 - a11 = 27
Workspace
45. In an arithmetic progression the first term is 7 and its common difference is 3. If the general term is (a_n) , find a_22 - a_14.
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Correct Ans:24
Explanation:
Given a = 7 and common difference = 3.
General Term a_n = a +(n-1)d
a_n = 7 + 3(n-1) = 3n + 4
a_22 = 66 + 4=70
a_14 = 42 + 4 = 46
a_22 - a_14 = 24
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46. In an arithmetic progression the first term is 11 and its common difference is 3. If the general term is (a_n) , find a_28 - a_17.
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Correct Ans:33
Explanation:
Given a = 11 and common difference = 3.
General Term a_n = a +(n-1)d
a_n = 11 + 3(n-1) = 3n + 8
a_28 = 84 + 8=92
a_17 = 51 + 8 = 59
a_28 - a_17 = 33
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47. In an arithmetic progression the first term is 8 and its common difference is 3. If the general term is (a_n) , find a_33 - a_21.
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Correct Ans:36
Explanation:
Given a = 8 and common difference = 3.
General Term a_n = a +(n-1)d
a_n = 8 + 3(n-1) = 3n + 5
a_33 = 99 + 5=104
a_21 = 63 + 5 = 68
a_33 - a_21 = 36
Workspace
48. In an arithmetic progression the first term is 11 and its common difference is 3. If the general term is (a_n) , find a_32 - a_23.
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Correct Ans:27
Explanation:
Given a = 11 and common difference = 3.
General Term a_n = a +(n-1)d
a_n = 11 + 3(n-1) = 3n + 8
a_32 = 96 + 8=104
a_23 = 69 + 8 = 77
a_32 - a_23 = 27
Workspace
49. In an arithmetic progression the first term is 9 and its common difference is 3. If the general term is (a_n) , find a_41 - a_24.
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Correct Ans:51
Explanation:
Given a = 9 and common difference = 3.
General Term a_n = a +(2n-1)d a - n
= 9 + 3(2n-1)
= 3n + 6 a -41
=> 123 + 6 = 129 a - 24
= 72 + 6
= 78 a - 24
a = 51
General Term a_n = a +(2n-1)d a - n
= 9 + 3(2n-1)
= 3n + 6 a -41
=> 123 + 6 = 129 a - 24
= 72 + 6
= 78 a - 24
a = 51
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50. In an arithmetic progression the first term is 8 and its common difference is 3. If the general term is (a_n) , find a_42 - a_31.
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Correct Ans:33
Explanation:
Given a = 8 and common difference = 3.
General Term a_n = a +(n-1)d
a_n = 8 + 3(n-1) = 3n + 5
a_42 = 126 + 5=131
a_31 = 93 + 5 = 98
a_42 - a_31 = 33
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51. In an arithmetic progression the first term is 4 and its common difference is 3. If the general term is (a_n) , find a_32 - a_21.
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Correct Ans:33
Explanation:
Given a = 4 and common difference = 3.
General Term a_n = a +(n-1)d
a_n = 4 + 3(n-1) = 3n + 1
a_32 = 96 + 1=97
a_21 = 63 + 1 = 64
a_32 - a_21 = 33
Workspace
52. In an arithmetic progression the first term is 12 and its common difference is 7. If the general term is (a_n) , find a_20 - a_13.
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Correct Ans:49
Explanation:
Given a = 12 and common difference = 7.
General Term a_n = a +(n-1)d
a_n = 12 + 7(n-1) = 7n + 5
a_20 = 140 + 5=145
a_13 = 91 + 5 = 96
a_20 - a_13 = 49
Workspace
53. In an arithmetic progression the first term is 9 and its common difference is 6. If the general term is (a_n) , find a_17 - a_11.
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Correct Ans:36
Explanation:
Given a = 9 and common difference = 6.
General Term a_n = a +(n-1)d
a_n = 9 + 6(n-1) = 6n + 3
a_17 = 102 + 3=105
a_11 = 66 + 3 = 69
a_17 - a_11 = 36
Workspace
54. In an arithmetic progression the first term is 9 and its common difference is 7. If the general term is (a_n) , find a_32 - a_26.
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Correct Ans:42
Explanation:
Given a = 9 and common difference = 7.
General Term a_n = a +(n-1)d
a_n = 9 + 7(n-1) = 7n + 2
a_32 = 224 + 2=226
a_26 = 182 + 2 = 184
a_32 - a_26 = 42
Workspace
55. In an arithmetic progression the first term is 4 and its common difference is 2. If the general term is (a_n) , find a_22 - a_16.
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Correct Ans:12
Explanation:
Given a = 4 and common difference = 2.
General Term a_n = a +(n-1)d
a_n = 4 + 2(n-1) = 2n + 2
a_22 = 44 + 2=46
a_16 = 32 + 2 = 34
a_22 - a_16 = 12
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56. In an arithmetic progression the first term is 6 and its common difference is 3. If the general term is (a_n) , find a_18 - a_12.
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Correct Ans:18
Explanation:
Given a = 6 and common difference = 3.
General Term a_n = a +(n-1)d
a_n = 6 + 3(n-1) = 3n + 3
a_18 = 54 + 3=57
a_12 = 36 + 3 = 39
a_18 - a_12 = 18
Workspace
57. In an arithmetic progression the first term is 10 and its common difference is 7. If the general term is (a_n) , find a_31 - a_22.
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Correct Ans:63
Explanation:
Given a = 10 and common difference = 7.
General Term a_n = a +(n-1)d
a_n = 10 + 7(n-1) = 7n + 3
a_31 = 217 + 3=220
a_22 = 154 + 3 = 157
a_31 - a_22 = 63
Workspace
58. In an arithmetic progression the first term is 11 and its common difference is 3. If the general term is (a_n) , find a_22 - a_16.
SHOW ANSWER
Correct Ans:18
Explanation:
Given a = 11 and common difference = 3.
General Term a_n = a +(n-1)d
a_n = 11 + 3(n-1) = 3n + 8
a_22 = 66 + 8=74
a_16 = 48 + 8 = 56
a_22 - a_16 = 18
Workspace
59. In an arithmetic progression the first term is 21 and its common difference is 2. If the general term is (a_n) , find a_21 - a_14.
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Correct Ans:14
Explanation:
Given a = 21 and common difference = 2.
General Term a_n = a +(n-1)d
a_n = 21 + 2(n-1) = 2n + 19
a_21 = 42 + 19=61
a_14 = 28 + 19 = 47
a_21 - a_14 = 14
Workspace
60. In an arithmetic progression the first term is 11 and its common difference is 2. If the general term is (a_n) , find a_21 - a_13.
SHOW ANSWER
Correct Ans:16
Explanation:
Given a = 11 and common difference = 2.
General Term a_n = a +(n-1)d
a_n = 11 + 2(n-1) = 2n + 9
a_21 = 42 + 9=51
a_13 = 26 + 9 = 35
a_21 - a_13 = 16
Workspace
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