Answered

Get the information you need with the help of IDNLearn.com's extensive Q&A platform. Discover in-depth answers to your questions from our community of experienced professionals.

Mr. Blue's first year salary is $30,000 and it doubles each year. What is the explicit rule for the sequence in simplified form?

What is the recursive rule?

Mr Blues First Year Salary Is 30000 And It Doubles Each Year What Is The Explicit Rule For The Sequence In Simplified Form What Is The Recursive Rule class=

Sagot :

MrRoyalidn

Mr. Blue' salary is an illustration of a geometric sequence

  • The explicit rule of Mr. Blue 's salary is an = 30000 * 2^(n - 1)
  • The recursive rule of Mr. Blue's salary is an+1 = 2an; a1 = 30000

How to determine the explicit formula?

Mr. Blue's salary is a geometric sequence with the following parameters:

First term, a1 = 30000

Rate, r = 2

The explicit rule is calculated as:

an = a1 * r^(n - 1)

This gives

an = 30000 * 2^(n - 1)

How to determine the recursive formula?

The common ratio is calculated as:

r = an+1/an

Substitute 2 for r

2 = an+1/an

Cross multiply

an+1 = 2an

Hence, the recursive rule of Mr. Blue's salary is an+1 = 2an; a1 = 30000

Read more about arithmetic sequence at:

brainly.com/question/6561461

Your participation is crucial to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. IDNLearn.com is committed to providing accurate answers. Thanks for stopping by, and see you next time for more solutions.