Question

Find the common difference and write the next four terms of each of the following arithmetic progressions - 1, - 5 / 6, - 2 / 3,.....

Answer 1

Answer:

Common Difference (d)= 1/6

A.P =  - 1, - 5 / 6, - 2 / 3,  -1/2 , -1/3, -1/6, 0, ...

Step-by-step explanation:

A.P= - 1, - 5 / 6, - 2 / 3, ...

first term (a)= -1

Common Difference (d) = second term - first term

                              (d)      = - 5 / 6 - (- 1)

                              (d)      = 1/6

Now, the next four terms are:

  last term+common difference

=> -2/3 + 1/6

=> -1/2

=> -1/2 + 1/6

=> -1/3

=> -1/3 + 1/6

=> -1/6

=> -1/6 + 1/6

=> 0

Now the A.P with all four next terms are:

- 1, - 5 / 6, - 2 / 3,  -1/2 , -1/3, -1/6, 0, ...

hope it will helps you friend