Saved Bookmarks
| 1. |
The sum ofthree numbers in AP are 3and their product is - 35.Find the numbers |
|
Answer» From the question it is given that, The sum of three NUMBERS in A.P. =3 Given, Their product =−35 Let us ASSUME the 3 numbers which are in A.P. are, a−d,a,a+d Now ADDING 3 numbers =
a−d+a+a+d=3 3a=3 a=3/3 a=1
From the question, product of 3 numbers is - 35 So, (a−d)×(a)×(a+d)=−35 (1−d)×(1)×(1+d)=−35 1 2 −d 2 =−35 d 2 =35+1 d 2 =36 d= 3
6 d=±6
Therefore, the numbers are (a−d)=1−6=−5 a=1 (a+d)=1+6=7
The numbers are (a−d)=1−(−6)=1+6=7 a=1 (a+d)=1+(−6)=1−6=−5 Therefore, the numbers −5,1,7,… and 7,1,−5,… are in A.P. |
|