which function can be used to model the graphed geometric sequence?\n○ (f(x + 1)=\frac{5}{6}f(x))\n○ (f(x +…

which function can be used to model the graphed geometric sequence?\n○ (f(x + 1)=\frac{5}{6}f(x))\n○ (f(x + 1)=\frac{6}{5}f(x))\n○ (f(x + 1)=\frac{5}{6}^{f(x)})\n○ (f(x + 1)=\frac{6}{5}^{f(x)})
Answer
Explanation:
Step1: Recall geometric - sequence formula
For a geometric sequence, the general form is (f(x + 1)=r\times f(x)), where (r) is the common ratio.
Step2: Calculate the common ratio (r)
Given two points ((1,1296)) and ((2,1080)), (r=\frac{f(2)}{f(1)}=\frac{1080}{1296}=\frac{5}{6}).
Answer:
(f(x + 1)=\frac{5}{6}f(x))