## Arithmetic & Geometric Sequence problems

*Nth* Term of a Sequence example problem

*Nth*Term of a Sequence example problem

Find a formula for the * Nth* Term of a Sequence whose first four terms are given by

(a) 4, 7, 10, 13, …

(b) 1, -3, 5, -7, …

(c)

(d)

Solution to these **Arithmetic and Geometric Sequences** practice problems is provided in the video below!

**Sequence Terms and Summation Notation example question**

Write the following Sum of the Terms of a Sequence in Summation Notation:

(a)

(b)

(c)

Solution to this **Arithmetic and Geometric Sequences** problem is provided in the video below!

**Testing For Arithmetic and Geometric Sequences example**

Determine if the following Sequences are Arithmetic, geometric or Neither:

(a)

(b)

(c)

(d)

(e)

Solution to this **Arithmetic and Geometric Sequences** problem is provided in the video below!

**Arithmetic Sequence Common Difference*** Nth* term example problem

*Nth*term example problem

For the following Arithmetic sequences, state the common difference, and write the next three terms and the ** Nth** term:

(a)

(b) -8, -5, …

(c)

Solution to this **Arithmetic and Geometric Sequences** problem is provided in the video below!

**Geometric Sequence Common Ratio*** Nth* term example question

*Nth*term example question

For the following Geometric sequences, state the common ratio, and write the next three terms and the ** Nth** term:

(a)

(b) -5, 5, -5, …

(c) 1, 1.05, …

Solution to this **Arithmetic and Geometric Sequences** problem is provided in the video below!

**Infinite Geometric Sequence SUM example**

For the following Geometric sequences, state the common ratio and find the Sum of ALL Terms (Infinite Sum), or state that the sum is undefined:

(a) 4,

(b)

(c) 36, -12, 4, …

(d) 1, 0.95, …

Solution to this **Arithmetic and Geometric Sequences** problem is provided in the video below!

**Geometric Sequence application word problem**

Suppose that $0.01 were deposited into a bank account on the first day of June, $0.02 on the second day, $0.04 on the third day, and so on in a geometric sequence.

(a) How much money would be deposited at this rate on June 30th?

(b) How much money would be in the account after this last deposit?

Solution to this **Arithmetic and Geometric Sequences** problem is provided in the video below!

## Limits problems for Precalculus

**Find Limit using Table of Values problem example **

The following video provides two examples with tables containing ** x**-values and their respective function values. Use this information to find the required limits.

Solution to this **Precalculus Limit** practice problem is provided in the video below!

**Find Limit using Graph example question**

The following video provides a complete** xy**-plane Graph showing the behavior of a given function. Use this information to find the limits.

Solution to this **Precalculus Limit** problem is provided in the video below!

**Find Limit using Calculator example**

Use a calculator to help you find the indicated limits for the given functions:

**(a)**

**(b) **

Solution to this **Precalculus Limit** problem is provided in the video below!

**Find Limit using Piecewise Functions example problems**

Use the following piecewise functions to find the required limits:

**(a)**

**(b) **

Solution to these **Precalculus Limit** problems is provided in the video below!

**Example problem on why some Limits may NOT exist**

Investigate the following function and determine why the given Limit does not exist:

Solution to this **Precalculus Limit** problem is provided in the video below!

**Find Limit by Rationalizing the Square Root example question**

Find the indicated Limit of the given Function:

Solution to this **Precalculus Limit** problem is provided in the video below!

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