Recursive Formulas in Arithmetic Sequences

The video tutorial explains arithmetic sequences, focusing on how they are formed by adding a constant value, known as the common difference, to each term. It guides viewers through writing a recursive formula for such sequences, emphasizing the importance of identifying the first term and maintaining consistency in notation. The tutorial provides examples to illustrate these concepts, ensuring a clear understanding of how to construct and use recursive formulas in arithmetic sequences.

What type of sequence is being discussed in the video?

• Harmonic sequence

• Arithmetic sequence

• Geometric sequence

• Fibonacci sequence

What operation is repeatedly performed in an arithmetic sequence?

• Multiplication

• Division

• Addition or subtraction

• Exponentiation

What is the common difference in the given arithmetic sequence?

• 2

• 3

• 4

• 5

What is the first term of the sequence discussed in the video?

• 5

• 8

• 3

• 11

What does the term number represent in a sequence?

• The common difference

• The sum of all previous terms

• The value of the term

• The position of a term in the sequence

What letter is used to denote the sequence in the recursive formula?

• a

• b

• c

• d

In the recursive formula, what does 'b of n' represent?

• The sum of terms

• The nth term

• The first term

• The common difference

What is the formula for the nth term in the recursive sequence?

• b(n) = b(n-1) / common difference

• b(n) = b(n-1) * common difference

• b(n) = b(n-1) - common difference

• b(n) = b(n-1) + common difference

What is the common difference added to in the recursive formula?

• The first term

• The previous term

• The sum of all terms

• The term number

What is the final step in writing the recursive formula for an arithmetic sequence?

• Identifying the common difference

• Identifying the first term

• Naming the sequence

• Adding the common difference to the formula