A turtle population grows in a manner that closely resembles a geometric sequence. Given the table of values, determine the turtle population after 5 years.

Year Number of turtles
1 6
2 18
3 54

The turtle population will be 486 after 5 years.

Step-by-step explanation:

The general form of a geometric progression or geometric sequence is a, ar, ar², ar³ and so on.

where,

The formula to find the nth term in GP is :

nth term =

The given sequence 6,18,54.

In this sequence,

5th term =

⇒

⇒ 681

⇒ 486

Therefore, after 5 years the population will be 486.

the answer is: the length is 5/6 yards.

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step-by-step explanation:

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step-by-step explanation: