0
Find the smallest number in a GP whose sum is 38 and product 1728?
Wiki User
∙ 14y ago
Let the three numbers in GP: a/r, a, ar---------(A)
Where '^' is power of . . .
Sum of these numbers are:
a/r +a +ar = 38
a(1\r+1+r) = 38 ---- (1)
Product of these numbers are:
a^3 = 1728
= (12)^3
a = 12
Putting the value of a in (1) you will get:
12(1\r+1+r) = 38
And factorising, we get
r = 2/3 or r = 3/2
Sub. the r and a value in (A), we get
8,12,18 or 18,12,8. When a = 12
And smallest no. is 8.
Wiki User
∙ 14y ago
Add your answer:
Earn +20 pts
What is the product of 12 times 144?
(12)144 = 1728
What is 1728 for volumetric measurements?
1728 is a pure number. Without units it has no meaning in volumetric measurements.
What number multiplied by itself 3 times equals 1728?
It is: 12*12*12 = 1728
Is 1728 divisible by 6?
1728 is divisible by 6. 1728/6=298A number is divisible by 6 if:The number is evenThe sum of the digits is divisible by three1728 is an even number.1+7+2+8=1818 is divisible by three.Therefore 1728 is divisible by 6.Note: You can also add 1+8=9 to make it simpler to check if it is divisible by 3.
What is the square root of 1728?
24√3 or 41.5692194 or 41.57, to the justified number of significant digits since 1728 has only four.
What is a number cubed is 1728 what is the number?
the cube root of 1728 is 12
What times what gives me 1728?
As a product of its prime factors in exponents: 2^6 times 3^3 = 1728
What is the product of 12 times 144?
(12)144 = 1728
What is the special of the Ramanujan Number?
Ramanujan number is the smallest natural number that can be can be expressed as a sum of two perfect cubes in two different ways:- 123 + 13 = 1728+1 =1729 103 + 93 = 1000+729 =1729
What number cubed equals 1728?
The number 12.
What is 1728 for volumetric measurements?
1728 is a pure number. Without units it has no meaning in volumetric measurements.
What is the odd cube number of 1728?
1728 is even so it cannot have an odd cube root.
How do you convert 1728 to a Babylonian number system?
1728/60=28 and left 48number is written as 28,48
What number multiplied by itself 3 times equals 1728?
It is: 12*12*12 = 1728
What number cubed equals1728?
3√1728 = 12
Is 1728 divisible by 6?
1728 is divisible by 6. 1728/6=298A number is divisible by 6 if:The number is evenThe sum of the digits is divisible by three1728 is an even number.1+7+2+8=1818 is divisible by three.Therefore 1728 is divisible by 6.Note: You can also add 1+8=9 to make it simpler to check if it is divisible by 3.
What is the square root of 1728?
24√3 or 41.5692194 or 41.57, to the justified number of significant digits since 1728 has only four.
