Formula's Summary - Sequence and Series Notes | Study Business Mathematics and Logical Reasoning & Statistics - CA Foundation

CA Foundation: Formula's Summary - Sequence and Series Notes | Study Business Mathematics and Logical Reasoning & Statistics - CA Foundation

The document Formula's Summary - Sequence and Series Notes | Study Business Mathematics and Logical Reasoning & Statistics - CA Foundation is a part of the CA Foundation Course Business Mathematics and Logical Reasoning & Statistics.
All you need of CA Foundation at this link: CA Foundation

1. The general term of an A. P. 

a, a + d, a + 2d, ... is given by tn = a + (n –1) d

2. Sn, the sum of the first n terms of an A. P.

a, a + d, a + 2d, ...   is given by  Formula`s Summary - Sequence and Series Notes | Study Business Mathematics and Logical Reasoning & Statistics - CA Foundation

Formula`s Summary - Sequence and Series Notes | Study Business Mathematics and Logical Reasoning & Statistics - CA Foundation

3. A sequence in which the difference of two cousecutive terms is always constant ( ≠ 0) is called an Arithmetic Progression (A. P.)

tn = Sn – Sn – 1

Formula`s Summary - Sequence and Series Notes | Study Business Mathematics and Logical Reasoning & Statistics - CA Foundation

4. An arithmetic mean between a and b is (a + b)/2

5. A sequence in which the ratio of two consecutive terms is always constant ( ≠ 0) is called a Geometric Progression (G. P.)

6. The nth term of a G.P.: a, ar, ar2, ... is arn – 1

7. Sum of the first n terms of a G. P.: a, ar, ar2, ... is

Formula`s Summary - Sequence and Series Notes | Study Business Mathematics and Logical Reasoning & Statistics - CA Foundation

Formula`s Summary - Sequence and Series Notes | Study Business Mathematics and Logical Reasoning & Statistics - CA Foundation

8. The sums of an infintite G. P. a, ar, ar2, ... is given by

Formula`s Summary - Sequence and Series Notes | Study Business Mathematics and Logical Reasoning & Statistics - CA Foundation

9. Geometric mean G between two numbers a and b is √ab

10. The arithmetic mean A between two numbers a and b is always greater than the corresponding Geometric mean G  i.e., A > G.

 

The document Formula's Summary - Sequence and Series Notes | Study Business Mathematics and Logical Reasoning & Statistics - CA Foundation is a part of the CA Foundation Course Business Mathematics and Logical Reasoning & Statistics.
All you need of CA Foundation at this link: CA Foundation

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