Environmental Control The Environmental ProtectionAgency (EPA) determines that Maple Lake has 250 tonsof pollutant as a result of industrial waste and that 10% ofthe pollutant present is neutralized by solar oxidation everyyear. The EPA imposes new pollution control laws thatresult in 15 tons of new pollutant entering the lake each year.The amount of pollutant in the lake after n years is given bythe recursively defined sequencep0 = 250 pn = 0.9pn-1 + 15Determine the amount of pollutant in the lake after 2 years.That is, determine p2 .

Q: Find the generating function for the sequence 1,−2,4,−8,16,….

A: The general expansion of the binomial (1-x)-1 will be, (1-x)-1=1+x+x2+x3+….

Q: What is a disadvantage of defining a sequence recursively?

A: The Disadvantage of defining a sequence recursively as In general, recursive functions are slower…

Q: Find the sum 6 ∑ k=1 4(5)^k-1 A. 4096 B. 12,500 C. 15,624 D. 3124

A: To find Find the sum 6 ∑ k=1 4(5)^k-1

Q: Find the exponential generating function for the sequence 0!, 1!, 2!, 3!,...

A:

Q: Express the sum 3 + 5 + 7+ ... + (2k-1) using E-notation.

A: The given sum is 3+5+7+…+2k-1. Express the sum 3+5+7+…+2k-1 using ∑ notation as follows.

Q: A sequer its Seco than its

A: We want to find the given statement is true or false.

Q: Jn²+h

A:

Q: Let {n} be a sequence. Let Yn = if {n} is monotonic, 1. Show that n then so is {yn}.

A: What is Monotone Sequence: A sequence can either be constant or monotone. There are two different…

Q: a = (k + 1)a, +1 and a =-1 [3] Let be a sequence defined recursively as , find a,, "3, and a..

A: I am attaching image so that you understand each and every step.

Q: Instruction: Type your answer in the box provided. 2 Find the harmonic mean of the first two terms…

A: Given the sequence is 12,6,4,3,125,2....

Q: define: geometric sequence

A: A geometric sequence (or geometric progression) is a sequence, in which each succeeding term of the…

Q: Find the sum of1/1 · 3 +1/3 · 5 +1/5 · 7 +··· .

A: The given series is, 11.3+13.5+15.7+..... Consider the first term, 11.3=12×1-12×1+1 Consider the…

Q: Consider the rabbit pairs that illustrate the pattern in the Fibonacci sequence. These rabbits…

A: Step:-1 Given that rabbits produce exactly 1 pair after 2 months. Let we have 1 pair of rabbits and…

Q: Enter the number to complete the linear combination. gcd(69, 30) yields sequence: 69 30 9 30 9692-30…

A:

Q: Find a generating function for the number of ways to make r cents' change in pennies, nickels,…

A: 1 pennies = 1 cent 1 nickel = 5 cent 1 dimes = 10 cents 1 quarter = 25 cents So the equation is, x1+…

Q: For partial-years depreciation, if an asset is purchased on February 8, how many months'…

A: Answer:-  Here, 11 months is right answer.

Q: In a 2010 survey, 83 out of 387 randomly selected young adults (ages 18-34) had to move back in with…

A: The objective of this question is to test the claim that a greater proportion of all young adults…

Q: sequence of 10 letters from 10 A 10 8 10 C A code a) How many? (b) Even number of A and odd number…

A: Since you have posted a question with multiple sub-parts, we will provide the solution only to the…

Q: 1)Give any example to show that refinement increases the lower sum . 2)Give any example to show that…

A: 1)Give any example to show that refinement increases the lower sum . 2)Give any example to show that…

Q: Find the sum of the first 10 terms of the geometric progression 2, 4, 8, 16 …

A: To find the sum of the first 10 terms of the geometric progression 2, 4, 8, 16 ...

Q: 10^n-3 first five  terms

A:

Q: Find the sum of the first 20 positive even integers.

A:

Q: Make poetry using fib sequence

A:

Q: The half-life of Carbon-14 is about 5730 years. This means that it takes approximately 5730 years…

A: The half-life of Carbon-14 is about 5730 years.Weight of an artifact=1200 grams

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.