Identifying Patterns in Sequences

The video tutorial covers sequences and patterns, focusing on arithmetic and geometric sequences. It explains how to identify patterns in sequences, including those with alternating signs and fractional components. The tutorial also addresses more complex sequences involving decimals, providing strategies for determining the next terms in a sequence.

What is an arithmetic sequence?

• A sequence where each term is subtracted by a constant value.

• A sequence where each term is multiplied by a constant value.

• A sequence where each term is added by a constant value.

• A sequence where each term is divided by a constant value.

In the sequence 2, 4, 8, 16, 32, what is the pattern?

• Subtracting 2 each time

• Dividing by 2 each time

• Adding 2 each time

• Multiplying by 2 each time

What is the next term in the sequence 5, 10, 15, 20, 25?

• 35

• 45

• 30

• 40

How do you find the next term in the sequence -5, -3, -1, 1, 3?

• Subtract 2

• Add 1

• Subtract 1

• Add 2

What is the next term in the sequence 0.4, 0.2, 0, -0.2, -0.4?

• -0.8

• -0.6

• -1.0

• -1.2

In the sequence 3, -6, 12, -24, 48, what is the common ratio?

• 3

• -3

• -2

• 2

What is the next term in the sequence 3/9, 4/9, 5/9, 6/9, 7/9?

• 8/9

• 9/9

• 10/9

• 11/9

What is the next term in the sequence 1/2, 1/4, 1/8, 1/16, 1/32?

• 1/64

• 1/512

• 1/128

• 1/256

What is the pattern in the sequence 6, -3, -12, -21, -30?

• Subtracting 6

• Subtracting 9

• Adding 6

• Adding 9

In the sequence 0.32, 0.8, 2, 5, 12.5, what is the common multiplier?

• 3.5

• 3

• 2.5

• 2