Finding Expressions for Arithmetic Sequences

The video tutorial explains how to find expressions for the nth and n+1th terms of an arithmetic sequence. It begins by identifying the sequence's term-to-term difference and deriving the nth term expression as 4n + 2. The tutorial then explains how to adjust this expression to find the n+1th term, resulting in 4n + 6. The video emphasizes the importance of understanding the arithmetic sequence's consistent difference and provides step-by-step guidance for deriving these expressions.

What is the common difference in the given arithmetic sequence?

• 6

• 2

• 4

• 8

How do you determine the expression for the nth term of an arithmetic sequence?

• By subtracting the common difference from n

• By adding the first term to n

• By multiplying the common difference by n

• By dividing the first term by n

What is the final expression for the nth term of the sequence?

• 4n

• 4n + 2

• 4n + 4

• 4n + 6

What additional value is added to the nth term expression to find the n+1th term?

• 6

• 4

• 2

• 8

What is the expression for the n+1th term of the sequence?

• 4n + 8

• 4n + 6

• 4n + 4

• 4n + 2