Question

The sum of three numbers in A.P. is –15 and their product is 375. Find numbers

Answer 1

Step-by-step explanation:

let, the first term = x

difference= d

therefore, x+(x+d)+(x+d+d)=-15

3x+3d= -15

x+d=-5

x=- 5-d

and secondly,

x×(x+d)×(x+d+d)=375

putting the value of x ,

We have,

(-5-d)(-5-d+d)(-5-d+d+d)=375

(-5-d)(-5)(-5+d)=375

(25+5d)(-5+d)=375

-125+25d-25d+5d²= 375

5d²=375+125

d= √75+5

=√100

= 10

therefore x= -5-(10)

= -15