# Arithmetic & Geometric Progressions

Arithmetic Progression, Geometric Progression, Harmonic Progression: Definition, Arithmetic Progression Formula, Geometric Progression Formula, Solved Problems

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## Online Aptitude Questions with Answers on Arithmetic & Geometric Progressions

Q51. **Find the sum of the following series, 1,4/5,16/25,64/125 ……………..**

1.  10
2.  6
3.  9
4.  5

Solution : 5
Q52. **There are n arithmetic means between 3 and 45 such that the sum of these arithmetic means is 552. Find the value of n.**

1.  18
2.  17
3.  21
4.  23

Solution : 21

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Q53. **Find the last term of a G.P. whose 1st term is 9 and common ratio is (1/3), given that the sum of the terms of the G.P is (40/3).**

1.  1/3
2.  2/5
3.  ¼
4.  2/3

Solution : 1/3
Q54. **Find the common ratio of three numbers in G.P whose product is 216 and the sum of the products when taken in pairs is 114.**

1.  2 or ½
2.  2/3 or 3/2
3.  ¾ or 4/3
4.  4 or ¼

Solution : 2/3 or 3/2

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Q55. **In an A.P consisting of 27 terms, the sum of the first three terms is 21 and that of the three middle terms is 93. Find the first term and the common difference.**

1.  6,3
2.  6,23
3.  7,3
4.  5,2

Solution : 5,2
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