Need help figuring out the recursive sequences. Need help with the following problems:

The following sequence is defined recursively. What is the eighth term in the sequence? a_1 = 5 a_n+1 = n + 2a_n where n greaterthanorequalto 1 (a) 404 (b) 788 (c) 440 (d) 887 (e) 1, 782 The following sequence is defined recursively. What is the third term in the sequence? a_1 = -3 a_n +1 = n + 2a_n where n greaterthanorequalto 1 (a) -21 (b) -18 (c) -64 (d) -16 (e) None of these Consider the recursive definition: a_1 = -2, a_n+1 = n - 5 a_n, n greaterthanorequalto 1 Find a_3 (a) -55 (b) -53 (c) 57 (d) 11 (e) 268 Consider the mathematical recurrence relation: f(1) = 1, f(2) = 2, f(n) = f(n - 1) + 2 f (n - 2)for n > 2 What is the value of f(6)? (a) 11 (b) 22 (c) 44 (d) 144 (e) None of these Consider the recurrence relation: r(1) = 1 r(n) = n + r(n - 1)for n greaterthanorequalto 2 What is the value of r(5)? (a) 10 (b) 15 (c) 21 (d) 36 (e) 6 Consider the recurrence relation: s(10) = 2 s(n) = n - s(n + 1)for 0