# 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

Q56. **Find the 1st term and the common ratio of a G.P whose 4th term is 250 and 7th term is 31250.**

1.  2/5,25
2.  4,5/2
3.  1,16
4.  2,5

Solution : 2,5
Q57. **The sum of the first eight terms of a geometric series is 10,001 times the sum of its four terms . Find the common ratio of the series.**

1.  root 1,000
2.  root 10
3.  10
4.  100

Solution : 10

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Q58. **What is the sum of the first 15 terms of an A.P whose 11th and 7th terms are 5.25 and 3.25 respectively?**

1.  56.25
2.  60
3.  52.5
4.  None of these

Solution : 56.25
Q59. **If sum of three numbers in A.P is 33 and sum of their squares is 491, then what are the three numbers.**

1.  5,11,17
2.  7,11,15
3.  9,11,13
4.  3,11,19

Solution : 3,11,19

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Q60. **The angles of a quadrilateral are in G.P. such that the common ratio is an integer. 2 of the angles are acute while the other 2 are obtuse. The measure of the smallest angle of the quadrilateral is:**

1.  12
2.  24
3.  36
4.  48

Solution : 24
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