Question

Write the algebraic expression for each of the following statements using variables and constants.

The sum of the squares of two consecutive numbers.

Answer 1

Given the sum of the squares of two consecutive numbers.

Let two consecutive numbers be $x$and $x+1$

$\therefore$Sum of the squares of two consecutive numbers is

$x^2+{(x+1)}^2$

Hence, the algebraic expression is $x^2+{(x+1)}^2$