- #1
Natko
- 44
- 0
Homework Statement
In this pattern, what is the algebraic expression for the term t?
-15, 30, 90, -360
Homework Equations
t= term number
The Attempt at a Solution
no idea
That's what I want to find out. It does not necessarily have to be multiplication only.DivisionByZro said:What do you multiply each term by to get the next?
HallsofIvy said:Are you saying that you have a sequence, [itex]a_1= -15[/itex], [itex]a_2= 30[/itex], [itex]a_3= 90[/itex], and [itex]a_4= -360[/itex]?
Well, I notice that 30= 2*15, 90= 3*30, and 360= 4*90. That is, [itex]a_n= n*a_{n-1}[/itex]. Also, the signs are -, +, +, -. You should be able to find a power of -1, in terms of n, that will give that.
An algebraic expression is a mathematical expression that contains variables, constants, and mathematical operations such as addition, subtraction, multiplication, and division. It represents a relationship between quantities and can be evaluated by substituting values for the variables.
A term in an algebraic expression is a single part of the expression separated by a plus or minus sign. It can be a number, a variable, or a combination of both. For example, in the expression 2x + 3, 2x and 3 are both terms.
The pattern for term t in an algebraic expression is determined by the coefficient and the variable. The coefficient is the number that multiplies the variable, and the variable itself represents the unknown quantity. For example, in the expression 3t + 5, the pattern for term t is 3.
To find the value of a specific term t in an algebraic expression, you can substitute the given value for the variable and simplify the expression. For example, if t = 2 in the expression 3t + 5, the value of term t would be 3(2) + 5 = 11.
Understanding the pattern for term t in an algebraic expression allows you to identify the relationship between quantities and make predictions about their values. It also helps in solving equations and simplifying expressions by identifying common factors or terms.