The sum and product of 3 conservative terms of Ap are 15 and 80. find the numbers
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Answer:
the three numbers are 3,5 and 8.....
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Let the AP be (a-d) , a (a+d)
by given
(a-d) + a + (a-d) = 15
=> a- d+a+a +d =15
=> 3a =15
=> a = 5
A/q (a-d) * a* (a+d) = 80
=> a^2 - d^2 = 80/a = 80/5 = 16
=> 5^2 -d^2 = 16 => d^2 = 25-16 = 9
=> d = 3 or -3
When d = 3
AP is : (a-d) ,a ,(a+d) = (5-3) , 5 , (5+3)
= 2,5 , 8 . ans { since the is AP is in ascensing order , d = -3 is neglected }
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