Converting Explicit to Recursive Formulas in Arithmetic Sequences

The video tutorial explains how to convert an explicit formula into a recursive formula by identifying the common difference in a sequence. It guides through finding the first and second terms to calculate the common difference, which is then used to formulate the recursive equation.

What is the first step in converting an explicit formula to a recursive formula?

• Determine the last term

• Simplify the explicit formula

• Find the common difference

• Identify the first term

What do you need to plug into the recursive formula?

• The explicit formula

• The common difference

• The last term

• The first term

How can you find the common difference in a sequence?

• By subtracting the first term from the second term

• By adding the first term to the second term

• By multiplying the first term by the second term

• By dividing the first term by the second term

If you have the 10th and 11th terms of a sequence, how can you find the common difference?

• By subtracting the 10th term from the 11th term

• By dividing the 11th term by the 10th term

• By adding the two terms

• By multiplying the two terms

What is the first term in the given sequence?

• 18

• 12

• 16

• 14

What is the second term in the given sequence?

• 14

• 12

• 16

• 10

What is the common difference if the first term is 14 and the second term is 12?

• -4

• 4

• 2

• -2

What do you replace 'D' with in the general recursive formula?

• The common difference

• The explicit formula

• The second term

• The first term