Answer:
t(n) = 3·5^(n-1)
Explanation:
The recursive formula describes a sequence in which each term is 5 times the one before it. This is a geometric sequence with common ratio 5 and a first term that is said to be 3.
As you know, the generic formula for a geometric sequence is ...
an = a1·r^(n-1)
For a1 = 3, r = 5, and a sequence named "t", this is ...
t(n) = 3·5^(n-1)
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By using both of these schemes, energy source and locomotion, amoeboids can be classified properly. Both schemes play an important part of amoeboid’s taxonomy classification because these organisms changes its shape when feeding. Amoebas are traditionally classified under sub-phylum Sarcodina, single-celled with pseudopods (use for locomotion) but recent studies show that they are not monophyletic and actually belong to other groups of organisms — with locomotion and source of nutrients as basis.