Finding the formula for a sequence of terms

👉 Learn how to write the rule of a sequence given a sequence of numbers. A sequence is a list of numbers/values exhibiting a defined pattern. A number/value in a sequence is called a term of the sequence.

To write the explicit formula of a sequence of numbers, we first determine whether each term of the sequence is obtained by adding/subtracting a common value to the preceding term or whether each term of the sequence is obtained by multiplying a pre-determined value, called the common ratio, to the preceding term or neither.

For the first case, the sequence is an arithmetic sequence and we can write the explicit formula by plugging the common difference into the arithmetic sequence explicit formula. For the second case, the sequence is a geometric sequence and we can write the explicit formula by plugging the common ratio into the geometric sequence explicit formula. For the third case, we can examine the pattern and by some kind of trial and error, we can be able to write the explicit formula.

👏SUBSCRIBE to my channel here:  https://www.youtube.com/user/mrbrianm...

❤️Support my channel by becoming a member: @brianmclogan

🙋‍♂️Have questions? Ask here: https://forms.gle/dfR9HbCu6qpWbJdo7

🎉Follow the Community:  mrbrianmclogan

Organized Videos:
✅ Sequences
Sequences
✅Sequences | Learn About
Sequences | Learn About
✅Determine The First Five Terms of The Arithmetic Sequence
Determine The First Five Terms of The...
✅How to Write The Formula for a Arithmetic Sequence
How to Write The Formula for a Arithm...
✅Find the nth Term of an Arithmetic Sequence
Find the nth Term of an Arithmetic Se...
✅Find the First Five Terms of a Geometric Sequence
Find the First Five Terms of a Geomet...
✅How to Write The Formula for a Geometric Sequence
How to Write The Formula for a Geomet...
✅Find the nth Term of a Geometric Sequence
Find the nth Term of a Geometric Sequ...
✅How to Determine Arithmetic or Geometric Sequence
How to Determine Arithmetic or Geomet...
✅Find the First Five Terms of a Sequence
Find the First Five Terms of a Sequence
✅How to Write The Formula for a Sequence
How to Write The Formula for a Sequence
✅Find the nth Term of a Sequence
Find the nth Term of a Sequence
✅How to Simplify Factorials
How to Simplify Factorials
✅Recursive Sequences
Recursive Sequences
✅Prove the Sum by Induction
Prove the Sum by Induction
✅Find the Given Term of Binomial Expansion
Find the Given Term of Binomial Expan...
✅Binomial Expansion | Learn About
Binomial Expansion | Learn About
✅How to Expand a Binomial
How to Expand a Binomial

🗂️ Organized playlists by classes here: mrbrianmclogan

🌐 My Website - http://www.freemathvideos.com

🎯Survive Math Class Checklist: Ten Steps to a Better Year: https://www.brianmclogan.com/email-ca...

Connect with me:
⚡️Facebook - Facebook: freemathvideos
⚡️Instagram - Instagram: brianmclogan
⚡️Twitter - Twitter: mrbrianmclogan
⚡️Linkedin - LinkedIn: brian-mclogan-16b43623

👨‍🏫 Current Courses on Udemy: https://www.udemy.com/user/brianmclog...

👨‍👩‍👧‍👧 About Me: I make short, to-the-point online math tutorials. I struggled with math growing up and have been able to use those experiences to help students improve in math through practical applications and tips. Find more here: https://www.freemathvideos.com/about-me/

#sequences #brianmclogan

• #education
• #how_to_find_the_rule
• #how_to_find
• #find
• #learn_how
• #how_to_find_the_formula
• #arithmetic
• #arithmetic_sequences
• #how_to_find_the_sum_of_a_series
• #how_to_evaluate_a_series
• #finite
• #finite_series
• #sum
• #sigma_notation
• #sequence_of_terms
• #formula_for_a_sequence_of_terms
• #finding_terms_of_a_sequence
• #how_to_determine_the_formula
• #raised_to_power
• #arithmetic_sequences_and_series
• #multiply_by_negative
• #how
• #write_the_explicit_formula
• #brian_mclogan
• #free_math_videos
• #math
• #mathematics