What is the following sum?
When it comes to mathematical problems, one of the most common questions that arise is “What is the following sum?” This question can be found in various forms, from simple arithmetic to complex algebraic expressions. Understanding how to calculate the sum of different sets of numbers or expressions is essential in mathematics and everyday life. In this article, we will explore the concept of sum, its significance, and how to determine the sum of different mathematical expressions.
In mathematics, a sum refers to the total result of adding two or more numbers or expressions together. It is denoted by the addition symbol “+” and can be represented in various forms, such as a series, sequence, or combination of numbers. The process of finding the sum involves adding each number or expression in the given set and arriving at a single value that represents the total.
To illustrate this concept, let’s consider a simple example:
What is the following sum: 2 + 3 + 4 + 5?
To find the sum, we add the numbers together:
2 + 3 = 5
5 + 4 = 9
9 + 5 = 14
Therefore, the sum of the given numbers is 14.
In more complex scenarios, the sum may involve algebraic expressions, fractions, or even functions. For instance:
What is the following sum: (3x + 2) + (4x – 1) + (5x + 3)?
To find the sum of this expression, we combine like terms and simplify:
3x + 4x + 5x = 12x
2 – 1 + 3 = 4
Therefore, the sum of the given expression is 12x + 4.
In conclusion, the question “What is the following sum?” is a fundamental mathematical inquiry that helps us understand the total value of a set of numbers or expressions. By following the rules of addition and simplifying expressions, we can determine the sum and gain insights into the underlying mathematical concepts. Whether it’s in school, work, or everyday life, being able to calculate sums is an essential skill that can be applied in various contexts.
