Answer:
The first graph is of the sequence defined by the given function.
Step-by-step explanation:
Given the graph of sequence defined by the function
[tex]f(x+1)=\frac{3}{5}f(x)[/tex]
when the first term is in the sequence is 375 i.e f(1)=375
[tex]f(1+1)=f(2)=\frac{3}{5}f(1)=\frac{3}{5}\times 375=225\\\\f(2+1)=f(3)=\frac{3}{5}f(2)=\frac{3}{5}\times 225=135\\\\f(3+1)=f(4)=\frac{3}{5}f(3)=\frac{3}{5}\times 135=81[/tex]
Hence, in coordinate points becomes
(1,375), (2,225), (3,135), (4,81)
∴ The first graph is of the sequence defined by the given function.
