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JEE Main Mathematics

Sequences and Series

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A timed sectional mock on this unit

Arithmetic and geometric progressions, inserting means between two numbers, and how the arithmetic and geometric means compare.

Key formula
an=a+(n−1)d,Sn=n2 [2a+(n−1)d],a+b2≥ab (a,b>0)a_n = a + (n-1)d, \quad S_n = \frac{n}{2}\,[2a + (n-1)d], \quad \frac{a+b}{2} \ge \sqrt{ab} \ (a, b > 0)

What this unit covers

  • Arithmetic and geometric progressions

  • Insertion of arithmetic and geometric means between two given numbers

  • Relation between A.M. and G.M.

Other units in JEE Main Mathematics