Question

64, â48, 36, â27, ... Which formula can be used to describe the sequence? f(x + 1) = f(x) f(x + 1) = f(x) f(x) = f(x + 1) f(x) = f(x + 1)

Answer 1

Answer:

The Given Sequence is , 64, 48, 36, 27,.....

64-16=48

48-12=36

36-9=27

As, $\frac{y}{x}=\frac{64}{48}=\frac{48}{36}=\frac{36}{27}=\frac{4}{3}\\\\ y=\frac{4x}{3}\\\\ 3 y=4x$

So, if , y is represented by f(x), then

$f(x)=\frac{4}{3}x$

So, $f(x+1)=\frac{3}{4}f(x)$ is the formula which correctly describes the Sequence.