Solving Equations and Sequences

The video tutorial explains an arithmetic sequence where each term increases by four, with the last term given by 4n - 2. It covers how to find the number of terms in the sequence, determine the second to last term, and calculate the sum of the sequence using the reverse and add method. The tutorial provides step-by-step solutions and emphasizes understanding the sequence's structure and formula.

What is the common difference in the given arithmetic sequence?

• 4

• 5

• 3

• 2

How do you find the value of n that generates the first term of the sequence?

• Set a sub n equal to 4

• Set a sub n equal to 10

• Set a sub n equal to 22

• Set a sub n equal to 0

If the first term is a sub three, how many terms are missing from the sequence?

• 4

• 3

• 1

• 2

What is the first step in solving for n in the equation 10 = 4n - 2?

• Subtract 2 from both sides

• Add 2 to both sides

• Multiply both sides by 4

• Divide both sides by 4

What is the formula for the second to last term in the sequence?

• 4n - 8

• 4n - 6

• 4n - 4

• 4n - 2

How can you find the second to last term by working backwards?

• Divide the last term by 4

• Multiply the last term by 4

• Subtract 4 from the last term

• Add 4 to the last term

What method is used to find the sum of the sequence?

• Reverse and add

• Reverse and multiply

• Reverse and subtract

• Reverse and divide

What is the expression for the sum of the sequence after simplification?

• 4(n - 2)(n + 2)

• n(n - 2)(n + 2)

• 2(n - 2)(n - 2)

• 2(n - 2)(n + 2)

How many terms are there in the sequence if the sequence has n minus two terms?

• n - 3

• n - 2

• n - 1

• n

What is the result of dividing the expression 4(n - 2)(n + 2) by 2?

• 2(n - 2)(n + 2)

• n(n - 2)

• 2(n + 2)

• 4(n - 2)(n + 2)