Question

If the sum of three consecutive terms of an A. P. is 51 and the product of two extremesis 273,find the number

Answer 1

Step-by-step explanation:

Let the numbers are a-d , a , a+d

Sum is 51

a-d + a + a+d = 51

3a = 51

a = 17;

(a-d)(a+d) = 273;

a^2 - d^2 = 273

After solving,

d = 4,

So the numbers are,

a - d , a , a + d 14,17,20