Three consecutive terms of an arithmetic progression are 20 - x, 18, - 44 + 7x. What is

the common difference of the progression?

8

Step-by-step explanation:

Common difference = 2nd term - first term

= 18 - [20 - x] = 18 - 20 + x = - 2 + x

Common difference = third term - 2nd term

= - 44 + 7x - 18 = - 62 + 7x

7x - 62 = - 2 + x

7x - x = - 2 + 62

6x = 60

x = 60/6

x = 10

First term = 20-x = 20-10 = 10

Common difference = 18 - 10 = 8

Check:

Third term = second term + 8 = 18 + 8 = 26

Third term = - 44 + 7x

= - 44 + 7*10 {x = 10}

= - 44 + 70 = 26

x=10

Step-by-step explanation:

hello:

the common difference is : (-44+7x) - 18 = 18 - (20-x)

-44+7x-18 = 18-20+x

7x-x = 18-20+18+44

6x = 60

x=60/6 = 10