Question

if 8, x, y, -3 are in AP then find the value of x + Y​

Answer 1

Answer:

- 1/2

Step-by-step explanation:

If these given terms are in A.P., then

Common Difference, d →

= x - 8 = y - x = - 3 - x

Now, we can write

→ x - 8 = - 3 - x

→ x + x = - 3 + 8

→ 2x = 5

→ x = 5/2

Also,

→ x - 8 = y - x

→ (5/2) - 8 = y - (5/2)

→ (5/2) + (5/2) - 8 = y

→ 5 - 8 = y

→ y = - 3

Now,

x + y = (5/2) + (- 3)

= (5/2) - 3

= (5 - 6)/2

= - 1/2