Question

toss 3 coins together 50 times
​

Answer 1

Answer:

so what

I tossed it

Step-by-step explanation:

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.If the sum and product of three numbers in GP are 31 and 125 respectively.