Exploring Arithmetic Sequences

The video tutorial introduces arithmetic sequences, explaining the concept of a common difference and how to find the nth term using formulas. It provides examples of finding specific terms in a sequence and concludes with tips for understanding sequences effectively.

What is the common difference in the sequence 5, 7, 9, 11?

• 1

• 2

• 3

• 4

If the first term of an arithmetic sequence is 5 and the common difference is 2, what is the 4th term?

• 9

• 11

• 15

• 13

What does 'a sub n' represent in the context of arithmetic sequences?

• The zero term

• The common difference

• The nth term

• The first term

How do you find the 20th term of the sequence if the formula is a sub n = 2n + 3?

• By subtracting 3 from 20

• By adding 20 to the first term

• By multiplying 20 by 2 and adding 3

• By dividing 20 by 2 and adding 3

What is the zero term (y-intercept) if the first term is 5 and the common difference is 2?

• 1

• 2

• 3

• 4

What is the formula for the nth term if the common difference is -2 and the zero term is 2?

• a sub n = 2n + 2

• a sub n = -2n - 2

• a sub n = 2n - 2

• a sub n = -2n + 2

What is the 7th term of the sequence if the formula is a sub n = -2n + 2?

• -14

• -16

• -18

• -12

If the common difference is -2, what is the 17th term of the sequence?

• -36

• -30

• -32

• -34

What is the common difference in the sequence 0, -2, -4, -6?

• -1

• -2

• -3

• -4

How do you find the zero term if the first term is 5 and the common difference is -2?

• By adding 2 to the first term

• By dividing the first term by 2

• By subtracting 2 from the first term

• By multiplying the first term by 2