Question

If 22,x,y,31 are in ap. find the values of x and y​

Answer 1

x = 25, y = 28

Explanation:

The n th term of an AP is

`a_(n)` = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 22 and

a₄ = a₁ + 3d = 31 , that is

22 + 3d = 31 ( subtract 22 from both sides )

3d = 9 ( divide both sides by 3 )

d = 3

Thus

x = 22 + 3 = 25

y = 25 + 3 = 28