the equation represents for a recurrence relation,

Mt+1= 0.75Mt+2 with
Mo=5

To find the values of the recurrence relation with the given initial condition, we can use a recursive approach. Here is how you can find the values of the recurrence relation:

1. Start with the initial condition given: M₀ = 5.
2. Use the equation Mt₊₁ = 0.75Mt₊₂ to calculate the next term after each step.

Let's calculate the values step by step:

Step 1: Since M₀ = 5, we can calculate M₁ using the equation.
M₁ = 0.75M₂ = 0.75 * [M₂]
M₁ = 0.75 * [M₂]

Step 2: Substitute the value we just found into the equation to calculate M₂.
M₁ = 0.75 * M₂ = 0.75 * [0.75 * M₃]
Substituting M₁ = 0.75 * [M₂]:
0.75 * [M₂] = 0.75 * [0.75 * M₃]

Step 3: Repeat the process until you have the desired number of terms.

In this case, it seems that we need one more term to fully define the sequence with the given equation. Therefore, we need an additional equation or initial condition to calculate the value of M₃.