Unit 1 Math 1 Review

Front

What is the general form of an exponential function?

Back

f(n) = a ⋅ b^n, where a is the initial value and b is the growth factor.

Front

How do you identify a geometric sequence?

Back

A geometric sequence is identified by a constant ratio between consecutive terms.

Front

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

Back

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

Front

What is the common difference in the sequence 3, 7, 11, 15?

Back

The common difference is 4.

Front

How do you evaluate a function at a specific point?

Back

Substitute the value into the function's equation and simplify.

Front

What is the result of evaluating f(n) = 2x + 6 at x = -5?

Back

f(-5) = 2(-5) + 6 = -4.

Front

What type of function is f(n) = 2 ⋅ 3^n?

Back

It is a geometric explicit function.

Front

How do you determine the number of hours for bacteria to reach a certain count if they quadruple each hour?

Back

Use the formula: final count = initial count × (growth factor)^time.

Front

If a bacterium quadruples each hour, what is the growth factor?

Back

The growth factor is 4.

Front

What is the initial value of the bacteria in the problem?

Back

The initial value is 5 bacteria.