Progression 

What is Progression ?

Progression in mathematics refers to a sequence of numbers arranged in a specific order. It involves advancing from one term to the next according to a pattern or rule. The two main types are arithmetic progression (AP) and geometric progression (GP). AP involves adding a constant difference to each term, while GP involves multiplying by a constant ratio. Progressions have formulas and properties used for calculations and analysis. They find applications in finance, physics, computer science, and engineering. Understanding progressions is essential for problem-solving and grasping mathematical concepts, enabling pattern analysis in various fields.

 

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Table of Content

1. Introduction.

2. Definition.

3. General term of an A.P.

4. Selection of terms in an A.P.

5. Arithmetic mean. 6. Properties of A.P.

7. Definition. 8. General term of G.P.

9. Sum of first n terms of a G.P.

10. Selection of terms in a G.P.

11. Sum of infinite terms of a G.P.

12. Geometric mean.

13. Properties of G.P.

14. Definition.

15. General term of an H.P.

16. Harmonic mean.

17. Properties of H.P.

18. nth term of A.G.P.

19. Sum of A.G.P.

20. Method of finding sum.

21. Method of difference.

22. Special series.

23. Vn method.

24. Properties of arithmetic, geometric and harmonic means between two given numbers.

25. Relation between A.P., G.P. and H.P.

26. Applications of progressions.