Explanation:
for that simple request there is nothing to solve, just to follow.
follow the functional definitions given.
we know d(1) and f(1). and you need the first 5 items ?
just calculate d(2) and f(2). from there then d(3) and f(3). and so on.
d(1) = 1
d(2) = d(1)² + 1 = 1 + 1 = 2
d(3) = d(2)² + 1 = 4 + 1 = 5
d(4) = d(3)² + 1 = 25 + 1 = 26
d(5) = d(4)² + 1 = 676 + 1 = 677
f(1) = 1
f(2) = f(1) + 2×2 - 2 = 1 + 4 - 2 = 3
f(3) = f(2) + 2×3 - 2 = 3 + 6 - 2 = 7
f(4) = f(3) + 2×4 - 2 = 7 + 8 - 2 = 13
f(5) = f(4) + 2×5 - 2 = 13 + 10 - 2 = 21