If the sum and product of three numbers in GP are 31 and 125 respectively.
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Answered by
3
Answer:
Answer
Let the 3 terms in G.P. be
r
a
, a, ar
Product of 3 terms = 125
r
a
×a×ar=125
a
3
=125
a=
3
125
∴a=5
Sum of 3 terms = 31
r
a
+a+ar=31
r
5
+5+5r=31,
r
5+5r
2
=26
5+5r
2
=26r
5r
2
−26r+5=0
(r−5)(5r−1)=0
5r−1=0 or r−5=0
r=
5
1
or r=5
if a = 5 and r =
5
1
, the terms are,
r
a
=
5
1
5
=5×
1
5
=25,a=5,ar=5×
5
1
=1
if a = 5 and r = 5
r
a
=
5
5
=1 a = 5 ar=5×5=25
∴ the three terms are 25, 5, 1 or 1, 5, 25.
Step-by-step explanation:
hope it will be helpful to you dear friend
Answered by
4
Answer:
thank u kanchan di
.ab mai 2: 30 me screenshot le kr dikha dugi unko
aur mere answer delete kr do jo ki hu aap answer ok ☺☺
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