Question

The explicit formula for a certain geometric sequence is f(n)=1250(11)^n-1. What is the exponential function for the sequence? Write your
answer in the form shown

Answer 1

Answer:

$f(n) = \frac{1250}{11}(11)^n$

Step-by-step explanation:

Given

$f(n) = 1250(11)^{n-1}$

Required

Write as exponential function

An exponential function is represented as:

$f(n) = ab^n$

$f(n) = 1250(11)^{n-1}$

Apply law of indices

$f(n) = \frac{1250(11)^n}{11}$

$f(n) = \frac{1250}{11}(11)^n$

The above represents the exponential function