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,
- a = first term
- r = common ratio
The formula to find the nth term in GP is :
nth term = [tex]ar^{n-1}[/tex]
The given sequence 6,18,54.
In this sequence,
- The first term, a = 6
- The common ratio, r = 18/6 = 3
5th term = [tex]6\times3^{5-1}[/tex]
⇒ [tex]6\times3^{4}[/tex]
⇒ 6[tex]\times[/tex]81
⇒ 486
Therefore, after 5 years the population will be 486.
