Question

find the common difference and write the next four terms of an ap -1, -5/6, -2/3​

Answer 1

Step-by-step explanation:

Given terms are;

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

So common Difference = Second term - First terms

=

$\frac{ - 5}{6} - ( - 1)$

$- \frac{5}{6} + 1$

$\frac{ - 5 + 6}{6}$

$= \frac{1}{6}$

Next four Terms Are ;

$- \frac{2}{3} + \frac{1}{6}$

and so on just adding 1/6 on the result!!

Hope it helps!!

Answer 2

Answer:

AP= -1,-5/6,-2/3...

let a= -1

and a2= -5/6

then common difference d=a2-a= -5/6-(-1)

d=(-5/6)+1

d=1/6

now next four terms are

a4=(-2/3)+1/6=(-1/2)

a5=(-1/2)+1/6=(-1/3)

a6=(-1/3)+1/6=(-1/6)

a7=(-1/6)+1/6=0