Answer:

Step-by-step explanation:
we want to figure out the general term of the following recurrence relation

we are given a linear homogeneous recurrence relation which degree is 2. In order to find the general term ,we need to make it a characteristic equation i.e
the steps for solving a linear homogeneous recurrence relation are as follows:
- Create the characteristic equation by moving every term to the left-hand side, set equal to zero.
- Solve the polynomial by factoring or the quadratic formula.
- Determine the form for each solution: distinct roots, repeated roots, or complex roots.
- Use initial conditions to find coefficients using systems of equations or matrices.
Step-1:Create the characteristic equation

Step-2:Solve the polynomial by factoring
factor the quadratic:

solve for x:

Step-3:Determine the form for each solution
since we've two distinct roots,we'd utilize the following formula:

so substitute the roots we got:

Step-4:Use initial conditions to find coefficients using systems of equations
create the system of equation:

solve the system of equation which yields:

finally substitute:


and we're done!
Answer:b
Step-by-step explanation:
I didn't understand your question. please repeat
Answer:
392
Step-by-step explanation:
Answer:
x = -3
y = -1
Step-by-step explanation:
in the given question :-
=》x - 4y = 1
=》x = 4y + 1
now replacing the value of x as ( 4y + 1 ) in equation (2)
=》3x + 2y = -11
=》3 (4y + 1) + 2y = -11
=》12y + 3 + 2y = -11
=》14y = -11 - 3
=》y = -14 ÷ 14
=》y = -1
now, putting the value of y in equation (1)
=》x - 4y = 1
=》x - ( 4 × -1 ) = 1
=》x + 4 = 1
=》x = 1 - 4
=》x = -3