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14 votes
14 votes
Here is a pattern made from sticks:

T T 7
LI LV/ LV

a)
How many sticks would be in pattern number 6?
28
b)
How many sticks would be in pattern number n?

Here is a pattern made from sticks: T T 7 LI LV/ LV 시 a) How many sticks would be-example-1
User RJ Cuthbertson
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2 Answers

26 votes
26 votes

Answer:

brainless plz

Explanation:

a:5

b:3 stick

User Sbqq
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2.9k points
14 votes
14 votes

a)Pattern number 6 has 26 sticks.

b) Pattern number n has 4n - 2 sticks.

a) Pattern number 6:

1. Each pattern starts with 2 sticks.

2. For each subsequent pattern, you add 4 sticks to the previous pattern.

3. Therefore, for pattern 6, you have: 2 sticks (initial) + 4 sticks (pattern 1) + 4 sticks (pattern 2) + 4 sticks (pattern 3) + 4 sticks (pattern 4) + 4 sticks (pattern 5) = 26 sticks.

b) Pattern number n:

1. Following the same logic, the number of sticks in pattern n can be expressed as a formula:

2. Number of sticks = 2 sticks (initial) + 4 sticks/pattern * (n patterns - 1)

3. Simplifying the equation: Number of sticks = 2 + 4(n - 1)

4. Combining like terms: Number of sticks = 4n - 2

Therefore:

  • a) Pattern number 6 has 26 sticks.
  • b) Pattern number n has 4n - 2 sticks.

User Joshua Fox
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2.6k points