Carlos wants to write a computer program that produces the sequence that can be defined by the general term tn = n! , where n ∈n and n ≥ 1. for example, t1 = 1, t2 = 2 × 1, t3 = 3 × 2 × 1, t4 = 4 × 3 × 2 × 1, and so on. unfortunately, the computer programming language that he is using doesn’t understand the factorial symbol. it only understands recursive formulas. which recursive formula can carlos use in his computer program to produce the sequence?

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.  

δabc ≅ δdcb by sas because

db ≅ ac . . given (side)

bc ≅ bc . . reflexive property (side)

∠dbc ≅ ∠ acb . . alternate interior angles where transversal bc crosses parallel lines bd and ac (included angle)