Find three terms in A.P. whose sum is 129 and whose product is 79335.
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4
Answer:
Let the three numbers be a−d,a,a+d.
It is given that the sum of the numbers is 36, therefore,
a−d+a+a+d=36
⇒3a=36
⇒a=
3
36
=12......(1)
It is also given that the product of the numbers is 1620, therefore using equation 1 we have,
(a−d)(a)(a+d)=1620
⇒(12−d)(12)(12+d)=1620
⇒(12−d)(12+d)=
12
1620
⇒12
2
−d
2
=135
⇒d
2
=144−135
⇒d
2
=9
⇒d=−3,d=3
With a=12 and d=3, the three numbers are as follows:
a−d=12−3=9
a=12
a+d=12+3=15
Thus, the numbers are 9,12 and 15.
With a=12 and d=−3, the three numbers are:
a−d=12−(−3)=12+3=15
a=12
a+d=12−3=9
Thus, the numbers are 15,12 and 9.
Step-by-step explanation:
Hopefully it's help you......
Have a great day.....
Answered by
7
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