Question

Christopher wrote the number pattern below. The first term is 8. 8,6,9,7,10 What is a rule for the pattern?

Answer 1

8-2=6
6+3=9
9-2=7
7+3=10
This is the pattern

Answer 2

Rule for the pattern:

aₙ  = aₙ₋₁  - 2      if n  is even

aₙ = aₙ₋₁   + 3     if n is odd  

where a₁ = 8   and  n > 1  , n ∈ Z

for number pattern  8,6,9,7,10 and so on

Given:

• Number Pattern
• 8 , 6 , 9 , 7 , 10  and so on
• First Term is 8

To Find:

• Rule for Pattern

Solution:

Understand the Pattern

• 8
• 8 - 2 = 6
• 6 + 3 = 9
• 9 - 2 = 7
• 7 + 3 = 10

Rule for the pattern:

• aₙ  = aₙ₋₁  - 2      if n  is even
• aₙ = aₙ₋₁   + 3     if n is odd  
• where a₁ = 8   and  n > 1  , n ∈ Z