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 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, as each term increases by 5.

Front

What is the recursive formula for the sequence 6, 4, 2, 0?

Back

The recursive formula is a_1 = 6, a_n = a_{n-1} - 2.

Front

How can you determine if a relation is a function?

Back

A relation is a function if each input (x-value) corresponds to exactly one output (y-value). This can be checked using the vertical line test on a graph.

Front

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

Back

Yes, it is an arithmetic sequence with a common difference of -0.75.

Front

What is the formula for the difference of two functions f(x) and g(x)?

Back

The difference is given by f(x) - g(x), which means you subtract the output of g(x) from f(x) for the same input x.

Front

What is the value of a_3 in the sequence 37, 42, 47, 52, 57?

Back

a_3 = 47.

Front

What does the term 'recursive formula' mean?

Back

A recursive formula defines each term of a sequence using the preceding term(s).