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LUCKY_DIMON [66]
4 years ago
12

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

ive function describes the number of bacteria observed at the nth hour
Mathematics
1 answer:
kotykmax [81]4 years ago
5 0

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}

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