# 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.

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.

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.

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.

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
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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.

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.

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.

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
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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.

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
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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.

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
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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.

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.

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
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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.

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
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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.

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
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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.

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
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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.

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.

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
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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.

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
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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.

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
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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.

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
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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.

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
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