1 of 2

ARITHMETIC

PROGRESSIONS

  • Finding the next few terms of an A.P.

2 of 2

4) Which of the following are APs ? If they form an AP, find the common difference d and write three more terms.

 

Sol:

 

 

 

 

a2

- a1

=

 

 

=

 

 

=

 

a3

- a2

=

 

 

=

 

 

=

 

a4

- a3

=

 

 

=

 

 

=

 

As difference is constant, the given list of numbers is an A.P.

a5

=

a4

+ d

=

 

 

=

 

 

=

 

=

 

a6

=

a5

+ d

=

 

 

=

 

 

=

 

=

 

a7

=

a6

+ d

=

 

 

=

 

 

=

 

=

 

 

a5, a6, a7

By adding d to a term we get a next term

In an AP difference between any two consecutive terms is constant

 

 

 

 

 

 

 

 

Exercise 5.1 4(xii)