Int 1 Fall Semester Review 2024

Front

Is the sequence arithmetic: 37, 31, 25, 19, ...?

Back

Yes, this is an arithmetic sequence because the difference between consecutive terms is constant (-6).

Front

What is the range of the graph of the function that outputs values between -3 and 1?

Back

The range is [-3, 1).

Front

Given the sequence: 25, 21, 17, 13,... Write the explicit equation that models the sequence.

Back

a_n = 25 - 4(n-1).

Front

Find the common ratio of the sequence: 4, -16, 64, -256, ...

Back

The common ratio r = -4.

Front

If m=3 and b=6, what is the correct slope-intercept equation?

Back

y = 3x + 6.

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

a_n = a_1 + (n-1)d, where a_1 is the first term and d is the common difference.

Front

Define a geometric sequence.

Back

A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio.

Front

What is the formula for the nth term of a geometric sequence?

Back

a_n = a_1 * r^(n-1), where a_1 is the first term and r is the common ratio.

Front

What does the slope of a line represent in a linear equation?

Back

The slope represents the rate of change of the dependent variable with respect to the independent variable.