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Let the sum of series a1,.., an = A. Since ai >0.
Then the maximum possible product of a1,..,an is = (A/n)n.
This result basically comes the relation between the arithmetic mean and geometric mean of n positive numbers.
A/n >= (a1...an)(1/n).
The equality case of the above relation gives the maximum product (by raising the power by n on both sides).
What else can I help you with?
Which set of numbers is the positive root of the given number NOT a member?
Negative numbers.
What is 7x11x13x17?
The product of the given prime numbers is: 17,017
What value is the product of (-310)(-267) in simplified form?
-43
What is the term given to the answers when two numbers are multiplied together?
The result of multiplying two numbers is called the product.
How do you draw a flowchart to find maximum and minimum of given 3 input numbers?
You draw a flowchart to find maximum and minimum of given 3 input numbers by using all three numbers. You take the low, high and input the middle number between them. You can see the rise, or decline of the chart that way.
Given two real numbers whose sum is ten What is their maximum product?
5+5 = 10 (Sum is ten)5*5 = 25 (Product is 25)*this product is maximum for all any 2 real numbers that == 10
What is the product of the greatest common factor and least common multiple mean?
The greatest common factor, or GCF, is the largest positive integer that will divide evenly with no remainder into all the members of a given set of numbers. The least common multiple, or LCM, is the smallest positive integer that all the members of a given set of numbers will divide into evenly with no remainder. The product of those two numbers is the answer when they are multiplied together.
Which set of numbers is the positive root of the given number NOT a member?
Negative numbers.
What does 2x7 x3?
The product of the given numbers is 42
What is 7x11x13x17?
The product of the given prime numbers is: 17,017
What is the product of 16?
In maths the product is the result of multiplying two numbers. You have only given one so there can be no product.
What is the product of the numbers immediately before and after 50?
2499.Given a number N, the product of the numbers before and after it is (N*N) - 1.
What is the difference between a greatest common factor and a least common multiple?
The least common multiple, or LCM, is the smallest positive integer that all the members of a given set of numbers will divide into evenly with no remainder. The least common factor of any set of integers is 1.
When will the product of given numbers be greater than the LCM of the same given numbers?
When the numbers have a common factor (other than 1).
How are lcm and gcf alike?
The greatest common factor, or GCF, is the largest positive integer that will divide evenly with no remainder into all the members of a given set of numbers. The least common multiple, or LCM, is the smallest positive integer that all the members of a given set of numbers will divide into evenly with no remainder. Factors go into numbers, numbers go into multiples.
A product of a given whole number and another whole number?
A product of a given whole number and another whole number = whole numbers
90 expressed as a product of its prime numbers is 2x3x3x5 Given that 4500090x500 express 45000 as a product of its prime numbers?
Neither 90 nor 500 are prime numbers.
