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

Number pattern =8,6,9,7,10
If you see pattern minutely you will

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

So basic rule is subtract 2 from given number then answer what will come add 3 to it.And you have to be in series

like
10-2=8

8+3=11

Hope you understand
Thanks

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