Is this possible to have the square of all positive integers?

Is this possible to have the square of all positive integers?

It is not possible at all to have the squares of all the positive integers of the form 3m + 2. This can be explained by using Euclid’s Lemma,a= bq+r, 0≤ r

What is the sum of the first n positive integers?

Also, the sum of first ‘n’ positive integers can be calculated as, Sum of first n positive integers = n(n + 1)/2, where n is the total number of integers.

What are the three consecutive positive integers such that the sum of their squares?

The number 4, 5 and 6 are three consecutive positive integer.

Are the square roots of all positive integers irrational if not give an example of the square root of a number that is irrational number?

No, the square roots of all positive integers are not irrational. As we can take an example, √4 = ± 2 where 2 and -2 are both rational numbers.

Are the square roots of all positive integers irrational if not give an example of the square root of a number that is a rational number class 9?

Answer: No. Square roots of all positive integers are not irrational. Example 4, 9, 16, etc. are positive integers and their square roots are 2, 9 and 4 which are rational numbers.

When the first n positive integers are added together their sum is given by?

When the first n positive integers are added together, their sum is given by 1. 2n(n + 1).

What is the sum of first 100 positive integers?

The sum of the first 100 positive integers is 5,050.

What are consecutive positive integers?

Consecutive integers are those numbers that follow each other. They follow in a sequence or in order. For example, a set of natural numbers are consecutive integers. If x is an integer, then x + 1 and x + 2 are two consecutive integers.

What is the sum of two positive integer?

Answer: Sum of two positive integers is always positive.

How do you find three consecutive positive integers?

Explanation: Three consecutive even integers can be represented by x, x+2, x+4. The sum is 3x+6, which is equal to 108. Thus, 3x+6=108.

Are fifth roots of all positive integers irrational if not give an example of the fifth root of a number that is rational?

No, it is not necessary that fifth root of every number is irratioal number. …