Find the next two terms of sequence

Question

U₀ = 1

U₁ =3

And U_n is defined by U_n+2 = 2 * U_n+1 + 3 * U_n

Find the next two terms

Answer 1

If you have U₀ and U₁ and the formula to find U_n+2, you can begin by plugging in your givens to the formula to find U₂. Once you found U₂, you can begin the process again to find U₃.

Answer 2

U₂ = 9 and U₃ = 27. The answers all lie within what n has to be to get our known values for U₀ and U₁. You assign n the value that will yield U₀ first and plug that n throughout the given equation. If you work out the algebra the next two values will be 9 and 27.