· Suppose you have the following recursion formula a_{1 }= 1, a_{2 }= 2, anda_{n} = _{(}a_{n}_{ }_{– 1)}+ _{(}a_{n}_{ }_{– 2)}for integers n ≥ 3. How would you determine the next three terms?

Thank you for the opportunity to help you with your question!

a1=1 a2=2

an=(an-1)+(an-2) for integers n>= 3

a3=a2+a1

=2+1

=3

a4=a3+a2

=3+2

=5

a5=a4+a3

=5+3

=8

so next three terms are 3,5,8.

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