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:
I guess the best answer is 10
Step-by-step explanation:
because 20-10 is 10
Answer:
25.12
Step-by-step explanation:
Answer:
left 1 unit, up 5 units
Step-by-step explanation:
First factor
g(x)=x^2+2x+6 = (x+1)^2+5
The standard transformation formula is
g(x) = a*f(bx-h) + k
which means
a=1, b=1,h=-1, k=5
or
h=-1 means translate left one unit
k=5 means translate up 5 units.
Choose the first option: left 1 unit, up 5 units
wym are you asking a question?