Toothpick Sequence Patterns

The video tutorial explains how to determine the number of toothpicks needed to form the 50th figure in a sequence. It starts by analyzing the first few figures, identifying a pattern of adding five toothpicks for each subsequent figure. The tutorial then derives a formula to calculate the number of toothpicks in the nth figure, ultimately applying it to find the number for the 50th figure, which is 251 toothpicks.

What is the main question being addressed in the video?

• How many toothpicks are needed for the 50th figure?

• How to build a house with toothpicks?

• How to calculate the area of a figure?

• How to draw a sequence of figures?

How many toothpicks are used in the first figure of the sequence?

• Four

• Seven

• Five

• Six

What is the pattern observed in the sequence of figures?

• Adding three toothpicks each time

• Adding four toothpicks each time

• Adding six toothpicks each time

• Adding five toothpicks each time

How many toothpicks are in the second figure?

• 13

• 12

• 11

• 14

What is the formula for the nth figure in the sequence?

• 1 + 5n

• 1 + 7n

• 1 + 4n

• 1 + 6n

How many toothpicks are in the third figure?

• 15

• 16

• 17

• 18

What is the number of toothpicks in the fourth figure?

• 22

• 23

• 21

• 20

How many toothpicks are needed for the 50th figure?

• 252

• 251

• 253

• 250

What is the constant number of toothpicks added for each new figure?

• Three

• Four

• Five

• Six

What is the base number of toothpicks in the formula for the nth figure?

• 1

• 3

• 2

• 0