(a) Use the given sequence to answer the following questions. Answer all THREE parts.
−
1
,

4
,

9
,

14
,

…
−1, 4, 9, 14, …
Part A
What is the recursive formula?

A
an=an−1+5a1=−1 a
n

=a
n−1

+5
a
1

=−1


B
an=an−1−1a1=−1a
n

=a
n−1

−1
a
1

=−1


C
an=an−1+5a1=5a
n

=a
n−1

+5
a
1

=5


D
an=an−1−1a1=5a
n

=a
n−1

−1
a
1

=5


(b)

Part B
What is the explicit formula?

A
an=−1+5(n−1)a
n

=−1+5(n−1)
B
an=−1+5na
n

=−1+5n
C
an=5−1(n−1)a
n

=5−1(n−1)
D
an=5−1na
n

=5−1n
(c)



Part C
What is the 10th term in 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.  

24+x=y

step-by-step explanation: