Summative/Final Exam Study Prep

Front

What is the growth factor of the sequence 9, 3, 1, \frac{1}{3}?

Back

The growth factor is \frac{1}{3}.

Front

The rate of change is the constant we ________ to each term.

Back

add

Front

Simplify: \frac{x^{10}}{x^2}

Back

The simplified form is x^8.

Front

An arithmetic sequence uses ________ to create the next term.

Back

uses addition of a constant term to create the next term.

Front

What is f(0) if f(x) is a function defined such that f(0) = 0?

Back

f(0) = 0.

Front

Define an arithmetic sequence.

Back

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

Front

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

Back

The nth term is given by 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 5, 8, 11, 14?

Back

The common difference is 3.

Front

How do you find the sum of the first n terms of an arithmetic sequence?

Back

The sum S_n is given by S_n = \frac{n}{2} (a_1 + a_n), where a_n is the nth term.

Front

What is the difference between an arithmetic sequence and a geometric sequence?

Back

An arithmetic sequence adds a constant to each term, while a geometric sequence multiplies by a constant.