# 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

Q36. <x, 17, 3x - y^2 - 2 and 3x + y^2 - 30 are four consecutive terms of an increasing arithmetic sequence. The sum of the four numbers is divisible by:> ![enter image description here][1] [1]: https://storage.googleapis.com/codegrounds/questionImages/412d678e-bbab-4efb-9eb7-a3d14fbeb33d_USER-RecruiterCopy_ITEM-Capture.PNG

1.  2
2.  3
3.  5
4.  7

Solution : 2
Q37. **Find the 100th term. if the first term is 4 and the common difference is 7?**

1.  150
2.  120
3.  800
4.  697

Solution : 697
Q38. **What is the sum of the following series? -64, -66, -68, ..... , -100**

1.  -1458
2.  -1558
3.  -1568
4.  -1664

Solution : -1558
Q39. **If log 2, log (2^x -1) and log (2^x + 3) are in A.P, then x is equal to ____**

1.  5/2
2.  log2^5
3.  log3^2
4.  3/2

Solution : log2^5

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Q40. **Given A = 265 and B = (2^64+2^63+2^62+...+2^0)**

1.  B is 264 larger than A
2.  A and B are equal
3.  B is larger than A by 1
4.  A is larger than B by 1

Solution : A is larger than B by 1
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