A sequence can be generated by using an=3a(n−1),where a1 =5 and n is a whole number greater than 1. What are the first four terms in the sequence?

5, 15, 45 and 135

Step-by-step explanation:

Given the recursive function;

an = 3a(n-1)

If a1 = 5

a2 = 3a1

a2 = 3(5)

a2 = 15

For a3;

a3 = 3a2

a3 = 3(15)

a3 = 45

For a4;

a4 = 3a3

a4 = 3(45)

a4 = 135

Hence the first four terms are 5, 15, 45 and 135

the answer is; biodiversity resulting from few ancestors

adaptive radiation occurs when a population is subjected to a large natural environment with spatial ecological variations. the parts of the population in the different ecologies begin to adapt to their local environments. due to non-random mating across the large populations, this causes the different populations from the large population to speciate within their local environments. they, therefore, diverge to different species sharing a common ancestor.