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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 :

MrRoyal

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

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