A farmer has a crop of 2,000 orange trees at the beginning of this year. Each year, the farmer plans to plant 250 new trees. Assuming all of the trees from one year live into the next, which explicit formula below can be used to determine the total number of orange trees, a. on this farm at the end of the nth year?

Q: 1. A population of fruit flies quadruples every month. How many fruit flies will there be after 8…

A: Given query is to find the population of flies after 8 months.

Q: 1. An art student starts with a white, right triangle that has a base of 16cm and heights of 80 cm.…

A: Area of a right angle triangle is 12×Base×Height

Q: Find the sum of the series or show that the sum does not exist. a. I (In 2)"-

A:

Q: 3-x +x²-x³+x+x³+ 14 where x<1. %3D ver:

A: Definition used -                     Sum of the ∞ term of geometric series-…

Q: A person borrows $3,000 on a bank credit card at a nominal rate of 18% per year, which is actually…

A: Given: A person borrows $3,000 on a bank credit card at a nominalrate of 18% per year, which is…

Q: b. Assume prior studies have shown that about 55% of full-time students earn bachelor's degrees in…

A: We have given that  95% confidence interval then alpha=0.05 Margin of error=E=0.04 Zc=1.96 at…

Q: Use the sigma notation to fill in the formula for evaluating an arithmetic series E (9n – 100) 543…

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Q: a) Find the population after 7 years. (Round to the nearest integer as nee

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Q: (b) Generalize: if the numbers 1 to n are placed around a circle in some order, what is the best…

A: (b) If the numbers 1 to n are placed around the circle in some order, the best possible lower bound…

Q: Write an explicit formula for the sequence: 1 1 11'12' 1 1 9' 10 1 13

A:

Q: Consider the series 52 +62 + 72 + ... + 462. Find the number of terms.

A: We will use simple arithmetic to find the number of terms in the series

Q: Find a formula for the nth term of the following sequences: (4) +, 구, 흙, An = (b) , 2 3 5 6 , 7) 4…

A: Solution: The objective is to find the nth term of the given sequences

Q: Write each series as a summation in sigma notation.

A: Given that: 12+14+18+116

Q: Write each series as a summation in sigma notation. 4 12+4+–+ 9. 4 + 27 Σ 4+ 3. OW

A: The given series is: 12+4+43+49+427

Q: PLease use the proper formula   Find the sum of the first 13 terms of the series 53 + 159 + 477…

A: Please refer to the image below.

Q: Find an explicit (non-recursive) formula for the sequence 2an 6an-1 = 0, a1 = 5. %3D -

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Q: 14. 1+5+9+...+ 157

A:

Q: Find an explicit formula to calculate the sum (assuming n is a multiple of 2)  P = 1 · 1 + 2 · 2 +…

A:

Q: find the sum of each series.

A: Given: x3+x4+x5+⋯

Q: Find the sum to n terms of the series: 5 + 11 + 19 + 29 + 41.

A:

Q: Evaluate each finite geometric series. 5. 8- 4+2- 1+.+ a11

A: Sum of the geometric series formula can be decided based on the value of the common ratio r. The…

Q: FIND THE SMALLEST n So THAT I

A: In this question, we have to find n for given |Rn|&lt;0.0001.

Q: A sequence {a,} is defined by ao = a1 = a2 = 1 and an = 7a,-2+6an-3 n>3. Find a general formula for…

A:

Q: Use iteration to guess an explicit formula for the = 2dr-1 + 3, for each integer k > 2 if d = 2…

A:

Q: the sum to n terms of the series: 5 + 11 + 19 + 29 +

A:

Q: Find the sum of each series

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Q: Find the total number of integers 'n' such that 2 ≤ n ≤ 2000 and H.C.F. of n and 36 is 1.

A:

Q: Determine whether the statement, 'The sum of the geometric series 1/2 + 1/4 + 1/8 + ..... + 1/512…

A: Given: Geometric series is 12+14+18+⋯⋯+1512 Here, first term is a=12 Common ratio, r=1412=12 We know…

Q: Find the sum of the infinite geometric series if it exists.256 + 192 + 144 + 108 + .....

A: Known fact: ∑n=0∞ arn=a1-r   if r&lt;1.

Q: Evaluate ∫ e^−x2dx as an infinite series.

A: This question is based on indefinite integral.

Q: Express the repeating decimal 1.2345345345 . . . as a  fraction.

A: we have to express the repeating decimal 1.2345345345 . . . as a  fraction.

Q: if it exists, Find the sum of each infinite geometric series. 1 + 1/5 + 1/25 + . . .

A:

Q: Find 81 term of series 41,43,45...

A: As we know that; The expression for the nth term of the arithmetic sequence is: Tn=a+n-1d Where, a…

Q: How many terms are required to ensure that the sum is accurate to within 0.0002? e-n n=1

A: We have to find the number of terms required for the sum to be accurate within 0.0002 .

Q: Write the terms of each series. 1. ΣΤ(n + 1) 2. En=1n2 3. Σ-11

A: Solution: 1.∑n=17(n+1)

Q: Determine how many terms of (-1)*+lgk must be summed to be sure that the remainder term k! k=1 is…

A:

Q: Find the indicated term of each 49. sixth term of (4h - j)8

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Q: Find a, and d for the arithmetic series. S12= -110, a12 = - 18 %D a1 (Type an integer or a…

A: see below the answerand sum of the arithmatic sequence is Sn=n22a+n-1×dalso the nth term of the…

Q: b. Assume prior studies have shown that about 40% of full-time students earn bachelor's degrees in…

A: It is given that margin of error (E) is 0.05 and the confidence level is 0.90.

Q: 3. A city has been found to have a population that triples every four years. If the city's…

A: Given that that city has been found to have a population that triples every four years and the…

Q: Find the sum of each finite series. (2n-1) 22. (3n+2) 23. -2

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Q: Evaluate each infinite geometric series. 12) 2-102 · А) 163 C) 316 E) 136 B) None of these D) 631

A: Solution

Q: Express the given repeating decimal as a quotient of integers. If​ possible, reduce to lowest terms.…

A:

Q: Express the given repeating decimal as a quotient of integers. If possible, reduce to lowest terms.…

A: The given repeating decimal is 0.3  let xy=0.3 where xy is the required quotient of integers…

Q: Find the specified terms in each the following expansions : ,5th term x2 * (x+) ,4th term * (5x –…

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Q: Write each summation as a series. (3i-2-1) i=2

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Q: Determine which reduced fractions have a repeating decimal of the form 0.aaa . . . , where a = 0, 1,…

A:

Q: Find the specified terms in each the following expansions : ,5th term 6. (x+) ,4th term (5x - 2y)5…

A:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.