Finding Terms and Expressions in Sequences

The video tutorial covers the concept of the nth term in sequences, demonstrating how to find specific terms using given formulas. It includes examples with linear sequences, such as 5n + 1 and 3n - 5, and explores whether certain numbers are part of these sequences. The tutorial also explains how to derive the nth term expression from a sequence and discusses different types of sequences, including negative, geometric, and Fibonacci sequences. The video concludes with practice questions to reinforce the concepts learned.

What is the first term of the sequence where the nth term is given by 5n + 1?

• 8

• 7

• 6

• 5

What is the second term of the sequence where the nth term is given by 5n + 1?

• 11

• 12

• 10

• 13

What is the third term of the sequence where the nth term is given by 5n + 1?

• 15

• 16

• 14

• 17

For the sequence with nth term 9n - 3, what is the first term?

• 3

• 6

• 9

• 12

For the sequence with nth term 9n - 3, what is the second term?

• 21

• 18

• 15

• 12

For the sequence with nth term 9n - 3, what is the third term?

• 24

• 30

• 21

• 27

Is 95 a term in the sequence defined by 3n - 5?

• Yes, it is the 31st term

• No, it is not a term

• Yes, it is the 32nd term

• Yes, it is the 33rd term

What is the value of n if 37 is a term in the sequence defined by 4n + 1?

• 10

• 11

• 9

• 8

What is the nth term expression for the sequence 7, 11, 15, 19?

• 3n + 4

• 3n - 4

• 4n - 3

• 4n + 3

What is the nth term expression for the sequence 4, 10, 16, 22?

• 6n + 2

• 5n - 1

• 5n + 1

• 6n - 2