Solve this Fibonacci-style question: sequence= 6, a, A, B, 36. What expression would go in A & B?

Question

Would be grateful if you could help, I'm totally confused.
Cheers if you can help ;D

The full question:
Here is a Fibonacci-style sequence.
6, a, A, B, 36
Write down what expression would go in A & B?
Please help me :(:(

Answer 1

If a, A, and B represent unknown varitables, then:

A = 6 + a

B = a + A = a + (6 + a) = 6 + 2a

36 = A + B = (6 + a) + (6 + 2a) = 12 + 3a

Therefore, 36 = 12 + 3a, or a = 8. The sequence is 6, 8, 14, 22, 36

Answer 2

For Fibonacci style, 6, a, A, B, 36
6 + a = A ---(1)
a + A = B -- (2)
A + B = 36 ---(3)
Replace (1) into (2)
a + 6 + a = B
B = 6 + 2a ---(4)
So,

A = 6 + a
B = 6 + 2a
Replace (4) and (1) into (3)
6 + a + 6 + 2a = 36
3a = 24
a = 8
A = 6 + a = 6 + 8 = 14
B = 6 + 2a = 6 + 16 = 22

6, a, A, B, 36
is
6, 8, 14, 22, 36

Answer 3

8 14 22

Answer 4

8 14 22

Answer 5

If they obey the recurrence relation: T_n+1 = T_n + T_n-1
then the sequence is:
6, a, A=a+6, B=(a+6)+a=2a+6, 36=(2a+6)+(a+6)=3a+12

If 36=3a+12, then a=8
Thus A=14, B=22

(And the full sequence is: 6, 8, 14, 22, 36... )

Answer 6

If they obey the recurrence relation: T_n+1 = T_n + T_n-1
then the sequence is:
6, a, A=a+6, B=(a+6)+a=2a+6, 36=(2a+6)+(a+6)=3a+12

If 36=3a+12, then a=8
Thus A=14, B=22

(And the full sequence is: 6, 8, 14, 22, 36... )

Answer 7

The Fibonnaci Series is 1,1,2,3,5,8,13,21 etc
Thus this series should be 6,6,12,18,30
Each succesive number is the sum of the two preceding numbers.

a=6 , A = 12, B = 18
however the 36 should be a 30 if thhjis is Fibonacci style seies.

Answer 8

in Fibonacci...a term is sum of preceding series.
so...
6+a=A.............(1)
a+A=B.............(2)
and A+B=36......(3)

subtract (2) from(1)
2A-B=6...(4)
Add (3) and (4)
A= 14
so B = 22 and a = 8