Given:
The sequence is
436, 218, 109, 54.5, 27.25,...
To find:
The explicit formula for the given sequence.
Solution:
We have,
436, 218, 109, 54.5, 27.25,...
It is a GP because the two consecutive terms have common ratio.
Here,
First term : a=436
Common ratio : d =
=
=
Now, the explicit formula for a GP is
Where, a is the first term and r is the common ratio.
Putting a=436 and r=0.5, we get
Therefore, the correct option is c.