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 raised to non-negative integer powers.

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 determine if a sequence is arithmetic?

Back

To determine if a sequence is arithmetic, calculate the difference between consecutive terms. If the difference is the same for all pairs of terms, it is an arithmetic sequence.

Front

What does the notation g(x) represent?

Back

g(x) represents a function named g, where x is the input variable.

Front

How do you simplify the expression 3x⁻²?

Back

3x⁻² can be simplified to 3/x².

Front

What is the formula for finding the nth term of an arithmetic sequence?

Back

The nth term of an arithmetic sequence 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 does h(4) = 5 mean in the context of a function?

Back

h(4) = 5 means that after 4 weeks, the height of the plant is 5 inches.

Front

How do you multiply two monomials?

Back

To multiply two monomials, multiply their coefficients and add the exponents of like bases.

Front

What is the result of (2a²b⁴z)(6a³b²z⁵)?

Back

The result is 12a⁵b⁶z⁶.

Front

What is the common difference in the arithmetic sequence 5, 4.25, 3.5, 2.75?

Back

The common difference is -0.75.