Suppose that the sequence x0, x1, x2... is defined by x0 = 1, x1 = 5, and xk+2 = 3xk+1+10xk for k≥0. Find a general formula for xk.

Answer 1

You have to be more precise in your notation, you probably meant:
x _k+2 = 3x _k+1 + 10x _k

that is:
x ₀ = 1 = 5^0
x ₁ = 5 = 5^1
x ₂ = 3(5) + 10(1) = 25 = 25(1) = 5^2
x ₃ = 3(25) + 10(5) = 125 = 25(5) = 5^3
x ₄ = 3(125) + 10(25) = 625 = 25(25) = 5^4
x₅ = 3(625) + 10(125) = 3125 = 25(125) = 5^5
..... = 3(3125) + 10(625) = 15625 = 5^6

looks like x _k = 5^k

Answer 2

does anyone have lesson 10 linear function test answers