Question

plzz solve these prblm

Answer 1

Here is the solution :

Let three terms of A.P be a-d, a, a+d,

Here, First term = a-d,
Common difference = +d,

According to the Question,

(a-d) + (a) + (a+d) = 24,

=> 3a = 24,

=> a = 8,

According to the Question again,

(8-d)² + 8² + (8+d)² = 200,

=> 64 + d² - 16d + 64 + 64 + d² + 16d = 200,

=> 192 + 2d² = 200,

=> 2d² = 8,

=> d² = 4

=> d = ±2,

If d = +2,

The three terms are,
6,8,10,

If d = -2,

The three terms are,
10,8,6,

Therefore : the three terms of the A.P are 6,8,10,

Hope you understand, Have a Great day :D,
Thanking you, Bunti 360 !..