4. A population of flies grow in such a way that each generation is 2 times the previous generation. If there are 50 flies in the first generation. What is the common ratio of the sequence? *   5. In problem #4, How many are in the 5th generation? *   6. In problem #4, how many are there in the 10th generation? *     10. What is the world’s fastest insect, which can travel at a speed of around 60 kilometers per hour. Really amazing! (Source: Math Journal Vol. X, No. 4, 2002 – 2003) Answer: ____ __

Q: If the first term a, and common difference d of an arithmetic sequence are 3 and 4 respectively then…

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Q: If the first term of a sequence is 4.5 and the common

A: Here we have to find the first 6 terms of the sequence where first term is 4.5 and common difference…

Q: PROBLEM 1. Differentiate a mathematical sequence, set, and series

A: Lets go through the basic definitions of the sequence , set and series.

Q: Find the sum of the first five odd terms of the Fibonacci sequence.

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Q: Find the common ratio of the given sequence. 3 1 1 1 1

A: To find the common ratio:

Q: If the first two terms of a Fibonacci sequence are 32, 83, then what is the next term ?

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Q: Find the indicated sum of the problem. 1. -54 + 18 - 6 +2 + ... , S9  2. Find the sum of the first…

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Q: Find the sum of the first 90 terms of the arithmetic sequence with first term 6 and common…

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Q: In week 1, 4 persons were infected by a virus, 16 persons in week 2, 36 in week 3, and 64 in week 4.…

A: Given that, In week 1, 4 persons were infected by a virus so consider a1=4 In week 2, 16 persons…

Q: Find the sum of the first 22 terms of the arithmetic sequence: 5, 12, 19, 26, . . . .

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Q: Clarify the differences between a sequence and a series?

A: Sequence is an array of numbers arranged according to a certain rule. For example,

Q: In Problems 31–38, find the first term and the common difference of the arithmetic sequence…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Find the sum of the first 40 terms of the arithmetic sequence whose first term is −15 and whose…

A: Given,         The sum of the first 40 terms of the arithmetic sequence whose first term is −15 and…

Q: Find the sum of the first 5 term of geometric sequence where first term is 3/5 and where common…

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Q: lberto is considering taking a job with a company where the sequence {$50,000;$50,700;$51,400;…

A: Given sequence is $50,000;  $50,700;  $51,400;  $52,100;  $52,800.... To find the value in the 6th…

Q: There are many examples of the Fibonacci sequence in nature. O True O False

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want…

Q: In Problems 69–82, determine whether the given sequence is arithmetic, geometric, or neither. If the…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

Q: If an+1 4a, is the difference equation for a sequence which begins with ao = 2 then what are each of…

A:

Q: If the 100th term of an arithmetic sequence is 691, and its common difference is 7, then its first…

A: nth term of an arithmetic sequence is given by, an = a1+ (n - 1)d  where a1 is first term and d is…

Q: If the common difference of an Arithmetic series is 6 and the 4th term is 10, what is the value of…

A: Sol

Q: If you are going to fill up all the squares in a chessboard. By filling up the first square with…

A: Disclaimer: Since you have asked multiple questions, we will solve the first question for you. If…

Q: what is the 7th geometric sequence where the first term is 4 the common ratio is 3

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Q: Find the sum of the first 15 terms of the arithmetic sequence: 3, 6, 9, 12, .........

A: Given:A.P  3,6,9,12,.....a1=3,  a2=6d=a2-a1d=6-3d=3, a=3, n=15Sn=n2[2a+(n-1)d]

Q: Find the sum of the first 45 terms of an arithmetic sequence whose general term is given by 15 + 5n

A: Given that the general term arithmetic sequence is 15 + 5n.  And we have to find out the sum of…

Q: Find the sum of the first 20 terms of the arithmetic series: 6 + 3 + 0 - 3 - 6 - . . .

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Q: Given that the 35th term of the Fibonacci Sequence is 9,227,465 and the 33rd term is 3,524,578, what…

A: Given that the 35th term of the Fibonacci Sequence is 9,227,465 and the 33rd term is 3,524,578.Our…

Q: In Problems 6–11, determine whether the given sequence is arithmetic,geometric, or neither. If the…

A: Since, you have asked multiple question, we will solved the first question for you. If you want any…

Q: Make up sequences that have (a) 3,3,3,3, ... as its second differences.

A: Solution of (a): Given that  3, 3, 3, 3, . . . is second difference of a sequence. We are suppose to…

Q: If the 100th term of an arithmetic sequence is 902, and its common difference is 9, then its first…

A: A sequence is a function with domain being the set of natural numbers and the range being the set of…

Q: If the first term of a geometric sequence is 0.9 and its ratio is 0.2, what is the sum of the first…

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Q: The sum of the first three terms of an arithmetic sequence is 45, and its 5th term is 24. What is…

A: We can find the 8th term of the GP as below

Q: 9) Find a sequence that accurately counts the ancestors of a female honeybee.

A: Given

Q: Find the 24th term of the arithmetic sequence if the first term is 3 and common ratio is 2.

A: First term =  a1 = 3  Common ratio = r = 2  We have to find a24 .

Q: Find the sum of the first five terms of the geometric sequence with first term 3 and common ratio 2.

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Q: what is the sum of the first four thousand terms of the geometric sequence with initial term 3 and…

A: Given first term of G.P, a=3 And common ratio, r=-1 Here, r<1 We know that if r<1 then sum of…

Q: What is the sum of the first ten terms of the Fibonacci sequence starting with one?

A: To find The sum of the first ten terms of the Fibonacci sequence starting with one.

Q: 11. Given that term 1 is 17 and the common difference is 4, find the number of terms in the sequence…

A: It is given that the first term is, a1 = 17. The common difference is, d = 4. Let the number of…

Q: A sequence of resistors or other components wired into a circuit one after the other?

A: A sequence of resistors or other components wired into a circuit one after the other refers to…

Q: Find the sum of the first 10 terms of the geometricsequence with first term 5 and common ratio -2.

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Q: If the third and fourth terms of an arithmetic sequence are 12 and 16, what are the first and second…

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Q: What happens to the terms of a geometric sequence when the common ratio is negative?

A: Common ratio of a geometric progression is defined as the ratio of a term with its preceding term.

Q: A coin is flipped 10 times and the sequence of heads and tails recorded. In how many ways can a…

A: Here we need to use binomial distribution

Q: If the sixth term of a geometric sequence is 972, and the tenth term is 78732, what is the first…

A: Sixth term of G.P is 972 Tenth term of G.P is 78732 T6=ar6-1=972......equation 1…

Q: 1. -2, 4 2. 11, 111 3. 5, 7.5 4. 5, -4 What are the next three terms in each sequen Problem 2: For…

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Q: Use the approach in Gauss's Problem to find the sum of the arithmetic sequence: 6+12+18+...+600

A: We Help of the Gauss's Problem to find The sum of the arithmetic sequence.

Q: a. What would be the population size in 7 years. b. Fund the sum of the first eight terms of the…

A: Given; P0=5000 Rate=2%=0.02 the sum of the first eight terms of the sequence 18,-14,12,.... Formula…

Q: If the 100th term of an arithmetic sequence is 600, and its common difference is 6, then its first…

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Q: If 5, 25 are two adjacent terms in a geometric sequence ( in that order), then the next term is

A: