missing number

Question

q1. (5,2,17), (3,4,13), (7,9,?), (6,3,21)

q2. (7,3,40), (5,2,28), (8,4,48), (7, 4,?)

 

Answer 1

q1.  (5,2,17), (3,4,13), (7,9,x), (6,3,21)

 

The pattern in each set (x₁,x₂,x₃) appears to be

that (x₃-x₂)=3x₁

 

17-2 = 3(5)

13-4 = 3(3)

21-3 = 3(6)

 

For (7,9,x) we would have

x-9 = 3(7)

x-9=21

x=30

 

Your set is (7,9,30)

 

q2.  (7,3,40), (5,2,28), (8,4,48), (7,4,x)

 

Your pattern for each set (x₁,x₂,x₃) is

x₃ = 4(x₁+x₂)

40 = 4(7+3)

28 = 4(5+2)

48 = 4(8+4)

 

For (7,4,x) we have

x = 4(7+4) = 4(11) = 44

 

Your set is (7,4,44)