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