Explicit Linear Function

You’re filling up an empty pool with water. The water enters the pool at a rate of 10 gallons per minute.

Write the explicit function for this scenario. Use n as your variable and no spaces in your answer.

Now, write the explicit formula for the given sequence.

Example 1:          4, 7, 10, 13, 16, …

Write an explicit rule to model the following sequence: Example 2: 21, 19, 17, 15, …

Write and explicit rule to model the following sequence:

Now, let's go backwards!!! Given the explicit formula, list the first five terms in order. (You can ignore term 0)

• 2, 5, 8, 11, 14, ...

• 3, 1, -1, -3, -5, ...

• 3, 6, 9, 12, 15, ...

• 3, 5, 7, 9, 11, ...

Create the explicit formula for the sequence: 2, 8, 14, ...

(Hint: Use the common difference AND the zero term!.)

• a_n = 6n + 2

• a_n = 6n - 6

• a_n = 6n - 4

• a_n = -6n + 4

An arithmetic sequence is an example of a linear function.

• True, because having a common difference also means it has a constant rate of change

• False, because it's not shown on a graph

Arithmetic Sequences is related to which type of function:

• Quadratic Function

• Linear Function

• Exponential Function

• Linear Absolute Value Function

Given the explicit formula, find the first four terms:
a_n = 19 - 5(n-1)

• 19, 14, 9, 4

• 19, 24, 29, 34

• 19, -95, 475, -2375

• 1, -4, -9, -14

In the explicit formula, an = a₁ + d(n-1), what does the d represent?

Answer explanation

(what it is adding or subtracting by)