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  1. Exams
  2. IIT JEE
  3. Mathematics
  4. Sequence and series
410 marks

Sequence and series

This chapter deals with arithmetic, geometric, and harmonic progressions, along with special series and their sums.

5 Topics
30h prep
3.1% subject weight
5 Topics
1

Arithmetic and Geometric progressions

2m3/10
📌 Key FormulaAP: nth term = a + (n-1)d, sum = n/2[2a + (n-1)d]. GP: nth term = a rⁿ⁻¹, sum = a(1 - rⁿ)/(1 - r) (r≠1)
2

Insertion of arithmetic

2m2/10
📌 Key FormulaArithmetic mean = (a+b)/2
3

Geometric means between two given numbers

2m2/10
📌 Key FormulaGeometric mean = √(ab)
4

Relation between A.M and G.M

2m2/10
📌 Key FormulaAM ≥ GM, with equality when numbers are equal.
5

sum up to n terms of special series Sn, Sn2, Sn3

2m3/10
📌 Key FormulaΣn = n(n+1)/2, Σn² = n(n+1)(2n+1)/6, Σn³ = [n(n+1)/2]²