# 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

Q41. **A and B set out on a long odyssey. A starts from city X and travels north. He covers 1 km on the 1st day and on each subsequent day, he travels 2 km more than he did the day before. 3 days after A started his journey, B sets out from city X in the same direction as A. On his 1st day he travels 12 km and on the subsequent days he travels 1 km more than the previous day. On which day will B overtake A?**

1.  4th day after A started
2.  6th day after A started
3.  2nd day after B started
4.  Both (2) and (3)

Solution : 6th day after A started
Q42. **Find the 15th term of an arithmetic progression whose first term is 2 and the common difference is 3.**

1.  45
2.  38
3.  44
4.  40

Solution : 44
Q43. **Find the number of terms in an arithmetic progression with the first term 2 and the last term being 62, given that common difference is 2.**

1.  31
2.  40
3.  22
4.  27

Solution : 31
Q44. **If the 1st term of an arithmetic progression is 3 and the 10th term is 21, then find the 15th and 22nd terms.**

1.  21,35
2.  31,45
3.  30,46
4.  29,40

Solution : 31,45

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Q45. **The 5 th term and 21 st term of a series in A.P are 10 and 42 respectively. Find the 31 st term.**

1.  50
2.  55
3.  65
4.  62

Solution : 62
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