When you reflect a diagonal over a line of symmetry, the diagonal will land perfectly on the other diagonal (and vice versa). This suggests that one diagonal is a mirror copy of the other.
Another way to put it: The vertex points of the rectangle will swap when we reflect over a line of symmetry. A diagonal is simply the opposite vertex points joined together. So this is why the diagonals swap places (because the vertices line up perfectly when you apply the reflection).
Question:
The recursive function
,
represents the nth term of a sequence. Determine the explicit function
Answer:

Step-by-step explanation:
Given


Required
Write an explicit formula
Let n = 1



Let n = 2



Let n =3



Let n = 4



So, we have:

Following the above pattern:


Open bracket



Answer:x
= -1 +√
3(3 + y)
Step-by-step explanation: solve the equation for x by finding a, b and c of the quadratic then applying the quadractic formula