Review #8: Algebra C&C Units 1-4 Gumbo

Front

Identify the rule as recursive or explicit, then find the first 4 terms of the sequence: a1 = 100, an = an-1 - 8.

Back

Recursive; 100, 92, 84, 76

Front

Convert the following function into standard form: f(x) = - (x + 2)^2 - 5.

Back

f(x) = -x^2 - 4x - 9

Front

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

Back

an = a1 + (n - 1)d

Front

Is the result rational or irrational? Explain: The sum of a rational and an irrational number.

Back

Irrational; The sum of a rational and an irrational is always irrational.

Front

Multiply the radical expressions and simplify: -3√2 · 5√3.

Back

-15√6

Front

Define a recursive sequence.

Back

A sequence where each term is defined based on the previous term(s).

Front

Define an explicit sequence.

Back

A sequence where each term is defined by a formula that does not depend on previous terms.

Front

What is the standard form of a quadratic function?

Back

f(x) = ax^2 + bx + c, where a, b, and c are constants.

Front

What does the term 'arithmetic sequence' mean?

Back

A sequence of numbers in which the difference between consecutive terms is constant.

Front

What is the common difference in an arithmetic sequence?

Back

The constant difference between consecutive terms, denoted as d.