Question

the product of two consecutive numbers into a algebraic expression ​

Answer 1

To find: To make an algebraic expression out of the product of two successive numbers.

Step-by-step explanation:

• An expression, often known as a mathematical expression, is a finite set of symbols that are well-formed according to context-dependent principles.

For example: The sum of two consecutive positive integers has an algebraic expression of 30. ​

Solution:

• Let $x$ be the initial integer, and $x+1$ be the second successive number.

Given that the product of two consecutive positive numbers is 30, what is the next step? This condition must also be represented algebraically.

• First, in algebraic form, the product of consecutive integers is: $x(x+1)$

This product is now given a value of 30. As a result, the necessary algebraic expression is $x\times (x+1)=30$