Identify whether the series summation of 15 open parentheses 4 close parentheses to the i minus 1 power from 1 to infinity is a convergent or divergent geometric series and find the sum, if possible.

this is a convergent geometric series. the sum is –5.

this is a divergent geometric series. the sum is –5.

this is a convergent geometric series. the sum cannot be found.

this is a divergent geometric series. the sum cannot be found.

  This is a divergent geometric series. The sum cannot be found.

Step-by-step explanation:

The common ratio is 4, which is greater than 1, so the series diverges. There is no finite sum.

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.