Sequences and Series Problems

The video tutorial explores various mathematical patterns and sequences, including increments, geometric shapes, arithmetic and negative progressions, division, fractional changes, and multiplicative patterns. It provides a comprehensive understanding of how these patterns evolve and change, offering insights into their mathematical properties and applications.

What is the next shape in the sequence if the pattern is a triangle, square, pentagon, and hexagon?

• Decagon

• Heptagon

• Nonagon

• Octagon

If a sequence starts with 12 and increases by 7 each time, what is the third term?

• 19

• 26

• 40

• 33

In an arithmetic sequence, if the first term is 5 and the common difference is 7, what is the fourth term?

• 40

• 33

• 26

• 19

What is the common difference in the sequence: -1, -4, -7, -10?

• -5

• -3

• -2

• -4

If a sequence is divided by 2 each time, starting from 144, what is the third term?

• 9

• 18

• 72

• 36

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

• 1/64

• 1/128

• 1/16

• 1/32

In the sequence: 1/2, 1/4, 1/8, what is the pattern?

• Multiplication

• Division

• Subtraction

• Addition

If a sequence starts with 36 and each term is divided by -3, what is the second term?

• -12

• 12

• -9

• 9

What is the next term in the sequence: 0, -1/4, -1/2?

• -3/4

• -3/2

• -1

• -5/4

In the sequence: 336, 112, 37.33, what is the common ratio?

• 1/3

• -1/3

• -3

• 3