ARITHMETIC PROGRESSION

ARITHMETIC PROGRESSION

1. Selection for more than two terms

   • 3 and 4 terms
     • 3 consecutive terms of an A.P. : (a - d ) , ( a+d ) . 4 consecutive terms of an A.P. : a-3d , a-d, a+d, a+3d
   • 5 and 6 terms
     • 5 consecutive terms of A.P. (a-2d), (a+d), a , (a+d), (a+2d). 6 consecutive terms of an A.P. : (A-5d),(a-3d), (a-d), (a+d), (a+3d), (a+5d+

2. arithmetic progession

   • Arithmetic progression is a sequence in which each term is obtained by adding a first number to the proceed term
   • each no. of an A.P. which is in sequence is called a term of A.P.
   • A.P. having finite numbers of terms is called a finite A.P.

3. terms

   • common difference
     • difference between two successive terms of an A.P. is called a common difference (d) . e.g. d = a2 - a1
   • first term
     • the first term is represented by a of an A.P.

4. sequence

   • a group of numbers arranged in definite order is sequence

5. Mean or Arithmetic mean

   • A.M. between a and b is a+b / 2