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Here are the first six terms of a Fibonacci sequence.
1 1 2 3 58
The rule to continue a Fibonacci sequence is,
the next term in the sequence is the sum of the two previous terms
The first three terms of a different Fibonacci sequence are
a b a + b
We can show that the 6th term of the sequence is 3a + 5b
Given that the 3rd term is 7 and the 6th term is 29, find the value of a and the
value of b.


Sagot :

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