Find the solution to the following linear, homogeneous recurrence with constant coefficients: an = 2an_1 25an_2 50an_3 for n 2 3 with initial conditions on = 12, a1 = 18, a2 = 184. The solution is of the form: an = (a + 11,8) (ii-)1\" + (a i)(ir)" + 73\" for suitable integer constants a, ,3, '7, r, 3. Note that the variable r in this problem doesn't represent a characteristic value. Find these constants and enter their values: 7": The solution can also be written in piecewise form and purely in terms of real numbers: c1?\" + 053\" for 11 mod 4 = 0 a = c:2'r""+c5.s~z"1 fornmod4= 1 n 631"" + C53\" for 11 mod 4 = 2 C4?\" + C53\" for 11 mod 4 = 3 for suitable real constants c1, C2, Cs, C4, C5. Find these constants as well. Linear Recurrence: Problem 10 (1 point) Find the solution to the following linear, homogeneous recurrence with constant coefficients: on = +12an_1 2911,14 for n 2 2 with initial conditions on = 10, a1 = 95. The solution is of the form: an, = (a + B)(r + J3)\" + (a _ lax/EX? _ re. for suitable real constants a, B, r, s . Note that the variable 1* in this problem doesn't represent a characteristic value. Find these constants