Q2W3 Monomials & Arithmetic Sequence

Front

What is a monomial?

Back

A monomial is a polynomial with only one term, which can be a constant, a variable, or a product of constants and variables.

Front

What is an arithmetic sequence?

Back

An arithmetic sequence is a sequence of numbers in which the difference between consecutive terms is constant.

Front

How do you find the nth term of an arithmetic sequence?

Back

The nth term can be found using the formula: a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Front

What is the common difference in the sequence 37, 42, 47, 52, 57?

Back

The common difference is 5.

Front

Evaluate f(4) for the function f(x) = x^2 - 5x.

Back

f(4) = 4^2 - 5(4) = 16 - 20 = -4.

Front

Is the sequence 5, 4.25, 3.5, 2.75 an arithmetic sequence?

Back

Yes, the difference between consecutive terms is constant (-0.75).

Front

Write the explicit formula for the sequence 25, 21, 17, 13,...

Back

a_n = -4n + 29.

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output for each input.

Front

How can you determine if a relation is a function from a graph?

Back

Use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the first term (a_1) of the sequence 37, 42, 47, 52, 57?

Back

The first term a_1 = 37.