Sequences and Series Problems

The video tutorial covers arithmetic and geometric sequences, explaining how to identify and complete them. It discusses the differences between arithmetic (adding/subtracting) and geometric (multiplying/dividing) sequences. The tutorial also explores creating custom sequences using specific rules and ensuring sequence positivity. Key concepts include finding common differences or growth factors and applying them to generate sequence terms.

What is the common difference in the arithmetic sequence starting with -2 and 4?

• 6

• 2

• 8

• 4

If a sequence starts with 11 and 111, what is the common difference?

• 50

• 100

• 111

• 200

What is the next term in the sequence 5, 7.5, ...?

• 7

• 10

• 9

• 8.5

In the sequence 5, -4, ..., what is the common difference?

• -4

• -5

• -9

• -3

How do you determine if a sequence is geometric?

• Check if each term is subtracted by a constant

• Check if each term is divided by a constant

• Check if each term is multiplied by a constant

• Check if each term is added by a constant

What is the growth factor in the sequence where 40 is divided by 200?

• 1/5

• 1/3

• 1/4

• 1/2

Which sequence is neither arithmetic nor geometric?

• 2, 6, 16

• 1, 3, 5

• 2, 4, 8

• 5, 10, 15

What is the common difference in the sequence 6, 12, 18?

• 9

• 6

• 3

• 12

What is the next term in the arithmetic sequence -3, -2, ...?

• -1

• 0

• 1

• 2

If the sequence is 13, 25, ..., what is the next term?

• 73

• 37

• 49

• 61