HOW TO FIND THE NEXT THREE TERMS IN ARITHMETIC SEQUENCE

Example 1 :

Find the next three terms of each arithmetic sequence.

4, 7, 10, 13, …

Solution :

Common difference :

d  =  a₂ - a₁

  =  7 - 4

  =  3

In order to get 5^th term, we have to add the common difference 3 with the 4^th term.

Hence the next three terms of the above sequence are 16, 19 and 21.

Example 2 :

Find the next three terms of each arithmetic sequence.

18, 24, 30, 36, …

Solution :

Common difference :

d  =  a₂ - a₁

  =  24 - 18

  =  6

In order to get 5^th term, we have to add the common difference 3 with the 4^th term.

Hence the next three terms of the above sequence are 42, 48 and 54.

Example 3 :

Find the next three terms of each arithmetic sequence.

-66, -70, -74, -78, …

Solution :

Common difference :

d  =  a₂ - a₁

  =  -70 - (-66)

  =  -70 + 66

=  -4

In order to get 5^th term, we have to add the common difference 3 with the 4^th term.

Hence the next three terms of the above sequence are -82, -86, and -90.

Example 4 :

Find the next three terms of each arithmetic sequence.

-31, -22, -13, -4, …

Solution :

Common difference :

d  =  a₂ - a₁

  =  -22 - (-31)

  =  -22 + 31

=  9

In order to get 5^th term, we have to add the common difference 3 with the 4^th term.

Hence the next three terms of the above sequence are 5, 14 and 23.

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