Sequence Rules and Terms

The video tutorial covers different types of number sequences. It starts with the Fibonacci sequence, where each number is the sum of the previous two, beginning with 0 and 1. Next, it explores a sequence of fractions where the denominator doubles each time. The third sequence involves multiplying the previous number by -2 and adding 3, with a focus on both forward and backward calculations. Finally, the video discusses creating custom sequence rules, such as adding 5 to the previous term or multiplying by 2 and adding 5.

What is the third number in the sequence if it starts with 0 and 1, and each number is the sum of the previous two?

• 3

• 2

• 4

• 1

If a sequence starts with 0 and 1, and each number is the sum of the previous two, what is the 5th number?

• 3

• 5

• 8

• 13

In a sequence where each number is the sum of the previous two, starting with 0 and 1, what is the 10th number?

• 89

• 55

• 34

• 21

What is the rule for generating the next term in the sequence starting with 1/2, 1/4, 1/8?

• Multiply the denominator by 2

• Add 1 to the numerator

• Subtract 1 from the denominator

• Multiply the numerator by 2

What is the next term in the sequence 1/2, 1/4, 1/8?

• 1/16

• 1/12

• 1/6

• 1/10

If a sequence starts with 1/2, 1/4, 1/8, what is the 5th term?

• 1/64

• 1/128

• 1/32

• 1/16

In a sequence where each term is multiplied by -2 and then 3 is added, what is the next term after -7?

• 27

• -17

• 7

• 17

What is the second term in the sequence if the rule is to multiply by -2 and add 3, starting from -7?

• -31

• -17

• 17

• -34

In a sequence where each term is multiplied by -2 and then 3 is added, what is the third term after -7?

• 67

• -34

• 17

• -31

If you reverse the sequence rule of multiplying by -2 and adding 3, what is the term before -7?

• 10

• -10

• -5

• 5