Answer:
Step-by-step explanation:
Read the coordinates of the points:
A(-1, 0) → A'(-1, 0)
B(0, 2) → B'(0, -2)
C(3, 2) → C'(3, -2)
D(4, 0) → D'(4, 0)
(x, y) → (x, -y)
Check:
A → A': (-1, 0) → (-1, -0) = (-1, 0) CORRECT
B → B': (0, 2) → (0, -2) CORRECT
C → C': (3, 2) → (3, -2) CORRECT
D → D': (4, 0) → (4, -0) = (4, 0) CORRECT
Given:
...(i)
For .
To find:
The nth term for the given recursive formula.
Solution:
The given recursive formula is of the form of
...(ii)
It is the recursive formula of a GP, where r is common ratio.
On comparing (i) and (ii), we get
Now,
First term:
Common difference:
nth term of a GP is
Putting a=3 and r=2, we get
Therefore, the equation for the nth term is .
