find the 3 term of an AP if their sum is 12 and their product is 28
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Step-by-step explanation:
Given:-
sum of three numbers in AP is 12
let take numbers as a-d ,a,a+d
so, a-d+a+a+d=12
product of numbers is 28
Find:-
The numbers
solution:-
sum of numbers is 12
a-d+a+a+d=12
3a=12
a=3/12=4
so, the value of a is 4.
product of numbers is 28
a-d(a) (a+d) =28
(4-d) (4+d) =4/28
2 2
4 - d =7
2
16-d =7
2
-d =7-16
2
-d = -9
d= 9/3
d=3
so, the value of d is 3
first number = a-d = 4-3=1
second number= a = 4
third number = a+d = 4 + 3 = 7
therefore the numbers are 1,4,7
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