Question

Write a sequence (an) representing the area of the shaded region shown. You can start the sequence at any integer you want.

a) (A_n = n² + 3n + 5);
b) (Aₙ = 2ⁿ + 1);
c) (Aₙ = n(n+1)2);
d) (Aₙ = 4n - 2).

Answer 1

The sequence representing the area of the shaded region can be derived using the formula Aₙ = n(n+1)2.

Step-by-step explanation:

The sequence representing the area of the shaded region can be derived using the formula Aₙ = n(n+1)2. This formula is derived by calculating the area of a rectangle and a triangle that make up the shaded region. The n represents the term in the sequence, and plugging in different values for n will give you different areas.