Question

The sequence below shows the number of bacteria Arjun observed each hour for a science experiment 5,20,80,320,1,280 which recursive function describes the number of bacteria observed at the nth hour

Answer 1

Answer:

$a_{n}=5*4^{n-1}$

Step-by-step explanation:

As the given sequence is a geometric sequence there will be a common ratio which can be obtained by dividing the next term by previous term

For the given sequence

$r = \frac{20}{5}\\ r=4$

The general for geometric sequence is:

$a_{n}=a_{1}r^{n-1}$

here a1 is the first term and r is the common ration

So, putting the values of r and a1, the geenral function for the given sequence is:

$a_{n}=5*4^{n-1}$