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

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

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!

---