(Okay i'm not really sure which one it is, but it's either:) Find three numbers in an arithmetic sequence, where the sum of the second and third is 10, and the product of the first and second is 5.

(Is this even possible?)

Or:

Find three numbers in an arithmetic sequence, where the sum of the second and third is 5, and the product of the first and second is 10.

Maplesnowy
Apr 9, 2018

#1**0 **

Let a be the first number

a + d = the second

a + 2d = the third

If it's this :

a (a + d) = 5

(a + d) + (a + 2d) = 10

WolframAlpha gives these solutions :

https://www.wolframalpha.com/input/?i=a+(a+%2B+d)%C2%A0+%3D%C2%A0+5,++(a+%2B+d)+%2B+(a+%2B+2d)%C2%A0+%3D+10

If it's this

a(a + d) = 10

(a + d) + (a + 2d) = 5

https://www.wolframalpha.com/input/?i=a+(a+%2B+d)%C2%A0+%3D%C2%A0+10,++(a+%2B+d)+%2B+(a+%2B+2d)%C2%A0+%3D+5

Either way....it's U-G-L-Y !!!!

CPhill
Apr 9, 2018