What is the Sum of Squares?
The sum of the squares of numbers is referred to as the sum of squared values of the numbers. It’s basically the addition of squared numbers.
Here 2 terms, 3 terms, or ‘n’ number of terms, first n odd terms or even terms, set of natural numbers or consecutive numbers, etc. could be squared terms
We used to perform the arithmetic operation of the addition of squared numbers. Here we will come across the formula for the addition of squared terms.
- Sum of Squares Formula
- Sum N Terms of arithmetic series
- Sum Of Geometric progression
- Sum Of Nth Terms
In arithmetic, we come across the formula for the sum of n natural numbers. There are so many formulae and techniques for the calculation of the sum of squares. Let us use some of the formulae with respect to two numbers, three numbers, and n numbers. The square of a number is denoted by n2.
a2 + b2 → Sum of two numbers a and b
a2 + b2 + c2 → Sum of three numbers a, b and c
(a1)2 + (a2)2 + …. + (an)2→Sum of squares of n numbers
In terms of stats, this is equal to the sum of the squares of variation between individual values and the mean, i.e.,
Where ai represents individual values and is the mean.
How to calculate the sum of squares?
The number system includes different types of numbers for example prime numbers, odd numbers, even numbers, rational numbers, whole numbers, etc. These numbers can be expressed in the form of figures as well as words accordingly. For example, numbers like 40 and 65 expressed in the form of figures can also be written as forty and sixty-five.
A Number system or numeral system is defined as an elementary system to express numbers and figures. It is the unique way of representing of numbers in arithmetic and algebraic structure.
Numbers are used in various arithmetic values applicable to carry out various arithmetic operations like addition, subtraction, multiplication, etc which are applicable in daily lives for calculation. The value of a number is determined by the digit, its place value in the number, and the base of the number system. Numbers generally also known as numerals are the mathematical values used for counting, measurements, labeling, and measuring fundamental quantities.
Numbers are the mathematical values or figures used for the purpose of measuring or calculating quantities. It is represented by numerals as 2, 4, 7, etc. Some examples of numbers are integers, whole numbers, natural numbers, rational and irrational numbers, etc.
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