Question

For the following exercises, find the common difference for the arithmetic sequence provided.

Answer 1

Consider the arithmetic sequence,

{0, 1/2, 1, 3/2, 2, …} ...... (1)

 

Compute the common difference of the given arithmetic sequence, subtract each term from the subsequent term,

a2 – a1 = 1/2 - 0

              = 1/2

 

Subtract second term from third term,

a3 – a2 = 1 – 1/2

             = 1/2

 

Subtract third term from fourth term,

a4 – a3 = 3/2 – 1

             = 1/2

 

And so on.

 

The difference between any two consecutive terms is equal to 1/2, the common difference of given arithmetic sequence will be d = 1/2.

The difference between any two consecutive terms is equal to 1/2, the common difference of given arithmetic sequence will be d = 1/2.