find the next threee terms of arithmetic sequence 1,1/2,0,-1/2

Question

find the nex three terms of each arithmetic sequence 1,1/2,0,-1/2

Answer 1

In arithmetic sequence first term is a.

Here a = 1

Second term a+d = 1/2

Common difference d = t2-t1

d = 1/2-1

d = -1/2

3rd term is 0 and 4th term is -1/2.

Now find next 3 terms.

5th term is a+4d = 1+4(-1/2)

= 1-2 = -1

6th term is a+5d = 1+5(-1/2)

= 1-5/2

= -3/2

7th term is a+6d = 1+6(-1/2)

= 1-3 = -2

Next three terms of sequence is -1, -3/2,-2.