Represent the geometric series using the explicit formula. 2, −8, 32, −128, … f(n) = 2 ⋅ (−4)(n−1) f(n) = 2 ⋅ (4)(n−1) f(n) = f(
2 answers:
Answer:
Step-by-step explanation:
The explicit formula for geometric series is given by :_
, where r= common ratio.
a= first term.
The given geometric series : 2, −8, 32, −128, …
First term = 2
Common ratio =
Substitute the value of a and r in (1) , we get
Hence, the representation of the given geometric series using the explicit formula :
You might be interested in
We have been given an expression . We are asked to find the value of A when rewrite our given expression as
.
To solve our given problem, we will use exponent properties.
Using exponent property , we can rewrite our given expression as:
Now, we will compare our expression with .
Upon comparing with
, we can see that
.
Therefore, the value of A is .
We can further simplify as: