AM28
contestada

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=

Respuesta :

abidemiokin

The explicit rule for the sequence in simplified form is y = 30000(2)^n

How to write the exponential function

The standard exponential equation is expressed as:

y = ab^n

Given the following parameters

a is the initial values = 30,000
If the amount doubles each year then b = 2

Substitute the parameters

y = 30000(2)^n

Hence the explicit rule for the sequence in simplified form is y = 30000(2)^n

Learn more on explicit rule here: https://brainly.com/question/2059043

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 = r • a_n -1 and the Recursive Rule is a_n = a_1 • a_n-1

a_1 is the first term and r is the common ration. In this case, the first term is 30,000 as stated in the question and the common ration is 2 since it doubles each time. So substitute those numbers into the formulas and that’s what you’ll get! Hope this helps! God bless you all!!

Otras preguntas