Question

A geometric sequence has an initial value of 18 and a common ratio of 1/2.write a function to represent this sequence

Answer 1

Answer:

$a_n=18\times (\frac{1}{2})^{n-1}$

Step-by-step explanation:

Given a geometric sequence has an initial value of 18 and a common ratio of 1:2. we have o write the function to represent this sequence.

⇒ a=18 and $r=\frac{1}{2}$

The formula to find the nth term of sequence is

$a_n=a\times r^{n-1}$, where a is the first term and r is the common ratio.

⇒ $a_n=18\times (\frac{1}{2})^{n-1}$

The above function represent the sequence that  has an initial value of 18 and a common ratio of 1:2.