Question

Ella is flying a kite in an open field. She starts with her kite at an altitude of 60 meters above the ground. Every hour, the altitude of her kite increases by 15 meters.
Let h(n) represent the altitude of Ella's kite at the beginning of the nth hour.
a. Is it arithmetic or geometric?
b. Write in recursive formula.

Answer 1

a. The altitude of Ella's kite increases by a fixed amount every hour, so it is an arithmetic sequence.

b. The recursive formula for the altitude of Ella's kite at the beginning of the nth hour can be expressed as:
h(1) = 60
h(n) = h(n-1) + 15
for n > 1