Answer:
1394
Explanation:
You can derive a formula for the k-th term of the sequence, but for a few terms, it is just as easy to evaluate them.
P₂₀₁₉ = 0.81(P₂₀₁₈ +25) = 0.81(2530 +25) = 2069.55
P₂₀₂₀ = 0.81(P₂₀₁₉ +25) = 0.81(2069.55 +25) = 1696.5855
P₂₀₂₁ = 0.81(P₂₀₂₀ +25) = 0.81(1696.5855 +25) ≈ 1394.48
At the start of 2021, there are predicted to be 1394 eagles in the park.