Arithmetic Progressions

Arithmetic Progressions

1. SEQUENCE

   • A group of numbers arranged in a definite order.

2. PROGRESSION

   • When members of a series are in definite order, we get a progression and it follows a certain rule and has a specific formula to calculate its nᵗʰ term.

3. ARITHMETIC PROGRESSIONS

   • Arithmetic Progression is a sequence in which each term is obtained by adding a constant number to the preceding term.

4. GENERAL TERM

   • When last term is given
     • Let the AP be l, l-d, l-2d, ..... It's general term is given by
   • When first term is given
     • nᵗʰ term of the AP is

5. SUM OF n TERMS

   • Sum of first n terms of an AP is given by

6. MEAN (or ARITHMETIC MEAN)

   • A.M. between a and b is (a+b)/2

7. TERMS

   • COMMON DIFFERENCE: Difference between two successive terms of an AP is called common difference (d).
   • FIRST TERM: The first term is represented as a of an AP.

8. SELECTION FOR MORE THAN 2 TERMS

   • 3 and 4 terms
   • 5 and 6 terms

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