Consider the rabbit pairs that illustrate the pattern in the Fibonacci sequence. These rabbits produce exactly 1 pair of new rabbits after reaching maturity at age 2 months. Imagine that the rabbits and all their offspring live forever. Also, imagine the field the rabbits live in can expand in size so that its side length is exactly equal to the number of pairs of rabbits living in the field. What is the side length of the field at the end of two years? Explain and show your work.

Q: find the nth term an of a sequence whose first four terms are given. 1, −8, 27, −64, …

A: Given the first four term of the sequence1,-8,27,-64.

Q: The sixth term Of a geometric sequence consisting of positive integers is 96 and the tenth term is…

A:

Q: Find the 5th term of the geometric sequence with first terma1 = 5 and common ratio r = - 2

A: A geometric sequence is a sequence where each term is found by multiplying the previous term by a…

Q: Find the nth term of a sequence whose first several terms are given. 6, 12, 18, 24, . .

A: Given Seies, 6,12,18,24.........

Q: Find the nth term an of a sequence whose first four terms are given. 2, 4, 8, 16,....

A:

Q: Provide an Arithmetic Sequence, by either giving a General rule or explicitly listing the first five…

A: We have to provide an Arithmetic Sequence, by either giving a General rule or explicitly listing the…

Q: What is the common ratio of the geometric sequence whose first term is 27 and fourth term is 64?

A: Here we have to find the common ratio of the geometric sequence whose first term is 27 and fourth…

Q: The amazing grandeur of the Fibonacci sequence was discovered in the structure of Function O…

A:

Q: Find the sum of the first 8 terms of the geometric sequence 3,6,12,…

A: First term= a= 3 Common ratio= r= 6/3= 2

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

A:

Q: define:arithmetic sequence

A: To define : Arithmetic sequence. Solution: An Arithmetic sequence or arithmetic progression is a…

Q: Find with explanation, a diginacci sequence that has no term equal to 11

A: Consider the given explanation. A diginacci sequence is defined as. The first two terms are any…

Q: Find the sum of the first 7 terms of the geometric sequence: 8, 4, 2, 1, . . . .

A: To Find The sum of the first 7 terms of the geometric sequence: 8,4,2,1,…. Concept: Sum of first…

Q: Write down the first five term of the geometric sequence with has first term of 1 and common…

A:

Q: me sequence whose nth term is

A:

Q: 1,0,

A: Given: The sequence is 0 , 1-e11+ e2 , 1- e21+ e3 , 1- e31+ e4  , 1- e41+ e5 , .  . .

Q: Construct a difference table to predict the next term of each sequence. 9, 4, 3, 12, 37, 84, ...

A:

Q: Find the 7tn term of the geometric sequence whose common ratio is and whose first term is 4.

A:

Q: Write the first five terms of the geometric sequence whose first term is 8, and whose common ratio…

A:

Q: Write out the first 5 terms for an algebraic sequence starting with 8 with a rate of change of 4.…

A: The first term  of the sequence is 8 i.e a=8 ,and the rate of change is 4. So, let ratio between the…

Q: What is a sequence that can be graphed that converges to 5?

A: Please find the answer in next step.

Q: find the nth term of a sequence whose first terms are given. −3, 5, 13, 21,...

A: One have to check the difference 5--3=813-5=821-13=8 So the common difference is 8 and the first…

Q: Find the nth term of a sequence whose first several terms are given. 3, 5, 3, 5, 3, 5, . . . an

A: We have to find nth term

Q: The initial size of a virus culture is 5 ​units, and it triples its size every day. Find the general…

A: To find the general term of the geometric sequence

Q: find the sum of the finite geometric sequence.

A: To Determine: Find the sum of finite geometric sequence.

Q: A patient takes 102 mg of a drug at the same time every day. Just before each tablet is taken, 5% of…

A:

Q: Find the nth term of a sequence whose first several terms are given. 3, 5, 3, 5, 3, 5, ... an =

A:

Q: what is the 10th term in an arithmetic sequence whose 3rd term is 17 and whose common difference is…

A:

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

A: Given

Q: 4, _, 100, ..

A:

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

A:

Q: Create your own sequence explicit formula.

A: Let, a sequence be: 2,4,8,16,32,64,... This sequence can be derived as  21=222=423=824=1625=32 and…

Q: Find the 100th arithmetic sequence with 1st term 5 and eighth term 19

A:

Q: Find the first five terms of the infinite sequence whose nth term is given. an = 3n - 1 %3D

A:

Q: 1 and whose first term is 8. 2 Find the 9th term of the geometric sequence whose common ratio is

A:

Q: Find a sequence that accurately counts the ancestors of a male honeybee.

A: Male bees are known to have only one parent, a female. Female bees are known to have two parents, a…

Q: Write the first four terms of sequence whose general term is given an = 3n + 2.

A: Given: an=3n+2 To Find: First four term of the sequence whose general term is given.

Q: Find the 10th term of a geometric sequence whose 2nd term is 7 and whose 5th term is 35. Report it…

A:

Q: tnd the first four terms and the 10oth term OR the Sequence Whose nsth tem is given

A: Given : an = -15n

Q: Find the 7 term of the geometric sequence whose common ratio is and whose first term is 4. 00

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

Q: When using a1rn-1 to find the nth term of a geometric sequence,what should I do first?

A: To find the nth term of a geometric sequence, we use the formula an=a1 rn-1.

Q: Find the nth term of a sequence whose first several terms are given. 7, 2, –3, –8, ... an

A:

Q: insert four fractions between the numbers 1 and 3 so that the size numbers (including 1 and 3)…

A: In an Arithmetic Sequence, the difference between one term and the next is a constant. That value…

Q: Find the nth term of a sequence whose first several terms are given. -2, 5, 12, 19, ... an

A: Solve arthimetic progress nth term formula

Q: Find the first four terms of the arithmetic sequence whose first term is −1 and whose common…

A: Given that first term of arithmetic sequence is -1 and common difference is 9.

Q: The nth term in a sequence is an. What is the next term position and value represented?

A: Given that :- nth term of a sequence is an next term position =?

Q: Find the sum of the first 100 terms of an arithmetic sequence with 15th term of 90 and first term of…

A: 15th term is 90 and the first term is 6 of an arithmetic sequence. To find the sum of its first 100…

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.