Question

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

Answer 1

Answer:

given that:

-1, -5/6, -2/3 are in A. P.

a1=-1

a2=-5/6

a3=-2/3

let next four terms=a4, a5, a6, a7

find :

common difference, d=?

a4=?

a5=?

a6=?

a7=?

solution:

common difference=a2-a1

=-5/6-(-1)

=1/6

a4=a3+d

=-2/3+1/6

=-1/2

a5=a4+d

=-1/2+1/6

=-1/3

a6=a5+d

=-1/3+1/6

=-1/6

a7=a6+d

=-1/6+1/6

=0

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