Question

find the next term of the sequence -1/3,0,1/3,2/3...​

Answer 1

Answer:

The given sequence is -1/3,0,1/3,2/3

If it is in AP, common difference, remains the same throughout.

0-(-1/3)=d=1/3

1/3-0=1/3=d

and 2/3-1/3=1/3=d

Hence the given sequence is an AP

Answer 2

Answer:

-1/3 , 0 , 1/3, 2/3 ,1

Step-by-step explanation:

Given

-1/3, 0, 1/3,2/3

Here,

The first number is -1/3

-1/3 + 1/3 = 0

0 + 1/3 = 1/3

1/3 +1/3 = 2/3

so the terms are in AP where the common difference d is 1/3

So to get the next number , we have to add 1/3 to 2/3

So,

2/3 + 1/3 = 3/3 = 1

So, the next number is 1