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

`a_n=18* ((1)/(2))^(n-1)`

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=(1)/(2)`

The formula to find the nth term of sequence is

`a_n=a* r^(n-1)`, where a is the first term and r is the common ratio.

⇒
`a_n=18* ((1)/(2))^(n-1)`

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