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?

Mathematics

1 answer:

trasher [3.6K]2 years ago

8 0

Answer: Explicit Rule: a_n=30,000 • 2^n-1

Recursive Rule: a_n = 2a_n-1; a_1 = 30,000

Step-by-step explanation: the explicit rule for a geometric sequence is a_n = a_1 • r^n-1 and the recursive rule is a_n= r • a_n -1.
a_1 is the first term of the sequence, which is this case is 30,000. R is the common ration, which is 2 since it doubles each time. Substitute those numbers into the formulas and that’s what you’ll get. Hope this helps. God bless you!!!

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