6. Find three numbers in AP whose sum is 15 and product is 80.
HINT- Let the numbers be (a-d), a, (a+d).
Answers
Answered by
3
Step-by-step explanation:
a-d+a+a+d =15
3a =15
a =5
(a-d)(a)(a+d) =80
(a^2-d^2)5 =80
a^2 - d^2 = 80/5
5^2 - d^2 =16
-d^2 = 16/25
d =4 /5
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Answered by
3
Answer: let the three numbers in AP be (a-d),a,(a+d)
According to question,
Sum of terms=15
a-d+a+a+d=15
3a=15
a=5
Product of terms=80
(a-d) X a X (a+d)=80
(a^2-d^2)a=80
Putting the value of a, we have
(25-d^2)5=80
25-d^2=16
25-16=d^2
9=d^2
d=3
So the terms are: a-d= 5-3=2
a=5
a+d=5+3=8
A.P.=2,5,8
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