Abbythatcher20idn
Answered

IDNLearn.com makes it easy to find precise answers to your specific questions. Join our community to receive timely and reliable responses to your questions from knowledgeable professionals.

please look at file and answer all three questions with work

Please Look At File And Answer All Three Questions With Work class=

Sagot :

Sqdancefanidn

Answer:

  • geometric
  • common ratio: -5
  • a[n]=-5a[n-1]; 625

Step-by-step explanation:

A.

We start this problem the way we start all problems: we read the problem statement and observe the given data and relationships.

Here, we observe that the given numbers are all multiples (powers) of 5, with alternating signs. We know that an arithmetic sequence cannot have alternating signs, so this is not an arithmetic sequence.

We are familiar with the first few powers of 5, so we recognize the terms have a common ratio of -5. If terms have a common ratio, they are a geometric sequence, so this is a geometric sequence.

__

B.

As we observed in Part A, the common ratio is -5.

__

C.

The full recursive formula will include the initial value in the sequence:

  a[1] = -5

  a[n] = -5·a[n-1]

Then the next value is ...

  a[4] = -5·a[3] = -5·(-125)

  a[4] = 625

Your engagement is important to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. IDNLearn.com provides the answers you need. Thank you for visiting, and see you next time for more valuable insights.