Assume that the pattern shown by the squares tiles in the following figure continues. a) What is the nth-term formula for the number of tiles in the nth figure of the sequence? b) How many tiles are in the tenth figure of the sequence? c) Which figure will consist of exactly 419 tiles?

Q: In THE FIBONACCI SEQUENCE TABLE, if the GOLDEN RATIO of two consecutive numbers is 1.6190476190,…

A: In THE FIBONACCI SEQUENCE TABLE, if the GOLDEN RATIO of two consecutive numbers is 1.6190476190,…

Q: Assume that the pattern shown by the square tiles in the ff figures continues: a. What is the nth…

A: Analysing the figures it can be seen that all figures are formed by big square and a column…

Q: F21 - 5F, = %3D (4F, + F,, )/2 = (3F,3)/6 = %3D

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Q: True or False: There are infinitely many numbers in the Fibonacci sequence that are divisible by 4.

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Q: Is the sequence {cos (-)- In(n)}, monotone? If so is it increasing creasing? or de-

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Q: In the standard Fibonacci sequence, what is the 25th term.

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Q: Find a formula for the sequence of even numbers and a formula for the sequence of odd numbers.

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Q: find the missing terms in each of the following number sequence

A: First take the difference of two consecutive numbers of the sequence and find the pattern.

Q: Refer to the image to identify the following: -What is the nth-term formula for the number of tiles…

A: The given image is:

Q: a4 аз ai a2

A: a) From the given sequence, a1=2a2=5a3=8a4=11 From this, these terms are in A.P. with common…

Q: 9. Assume that the pattern shown by the square tiles in the following figure continues. a. What is…

A:

Q: Find the 30th term in the Fibonacci sequence using the Binet's formula

A: The Fibonacci sequence is of the form, Fib(n)=ϕn--1nϕn5 ϕ=5+12ϕ-1=1-52 Substituting the values, the…

Q: How many ordered sequences are possible that contain nine objects chosen from fifteen?

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Q: How many ordered sequences are possible that contain two objects chosen from nine?

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Q: Construct a difference table to predict the next two terms of the sequence

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Q: The second term of a GP is 24 and the sixth term is 121.5, the first term of the sequence will be

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Q: 3. Consider the pattern manifested by the tiles below. az az a4 as (a) What is the nth-term formula…

A: To find first five terms of the sequence,we substitute n=1,2,3,4,5 in the expression of Tn. After…

Q: Given a and b, suppose that three numbers are inserted between them so that the five numbers form a…

A: If the product of the three inserted number between a and b is 27  This product is the cube of the…

Q: What is the nth-term formula for the number of square tiles in the nth figure? How many tiles are in…

A: Concept: The nth term of the sequence: Yet another term is a formula that allows us to locate any…

Q: In the sequence 4, 9, 14, 19, 24, 29,......n. Determine the recursive formula for the given sequence…

A:

Q: Is the sequence a, = 7n – 4 arithmetic? Your answer is (input yes or no) if your answer is yes, its…

A: This sequence is an arithmetic sequence, because it represents multiples of 7 subtracted by 4. Now,…

Q: What three numbers can be inserted between 81 and 16, so that  the five numbers form a geometric…

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Q: Is the sequence an :4n – 19 arithmetic? Your answer is (input yes or no) if your answer is yes, its…

A:

Q: How many ordered sequences are possible that contain fourteen objects chosen from fifteen?

A: To find the order of sequence are possible.

Q: the

A:

Q: Given the geometric sequence: 28 112 ao = 7, a1 = , a2 find a formula for the n-th term: an

A: Explanation of the answer is as follows

Q: 1. determine the nth term formula for the number of square tiles in the nth term figure. 2. how…

A: Given number of square tiles in first, second, third, fourth and fifth figure are 5, 8, 11, 14, 17…

Q: In geometric sequence a1, a2, · · , an , if az 1421 and a5 69629, then the common ratio is

A: Given,          In geometric sequence a1,a2,....,an if a3=1421 and a5=69629.We know that,…

Q: How many ordered sequences are possible that contain nine objects chosen from thirteen?

A: How many ordered sequences are possible that contain 9 objects from 13?

Q: In an arithmetic sequence a1, az2, .., an , if the first term is 5 and the common difference is 3,…

A:

Q: How many ordered sequences are possible that contain eight objects chosen from eleven?

A: Given that, Total objects = 11 Order matters

Q: In the sequence 20, 202, 2020, 20202, 202020,... each subsequent number is obtained by adding the…

A:

Q: Compute the missing terms in the arithmetic sequence. 72, **** 1)..., 24,

A:

Q: Identify the explicit formula for the nth term of the sequence written below.   14, -98,2744/3,…

A: 14,-98,27443, -9604, 537824/5, -3764768/3

Q: Given that the first term of an arithmetic sequence is 50 and the common difference is -5, what is…

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Q: The 26th term of a Fibonacci sequence is 121393 and the 27th term is 1916418. What is the 24th term?

A: F0=0, F1=1Fn = Fn-1 + Fn-2,  n≥2 F26 =121393F27 =1916418F27 =F27-1 + F27-2F27 =F26 + F25F25 =F27…

Q: As which term does appear in the sequence 81, 27,9...? a. 5th b. 11th 8th с. d. 15th е. 12th

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Q: what number comes next, given the pattern sequence 51,65,86,114,149

A: given the pattern sequence 51,65,86,114,149 Next number = ?

Q: Determine the nth-term formula for the number of square tiles in the nth figure of the sequence.…

A: A. a1=4+2a2=9+3and so on∴the n th - term formula isan=(n+1)2+n+1

Q: Consider a sequence of a numbers. 5, 6, 15, 50, 207,1040, 6275, 43938  What is the pattern and…

A: The objective is to state the pattern and the number that is not a part of the sequence 5, 6, 15,…

Q: In geometric sequence a1, a2, · ·… · , an , if az = 686 and ag = 33614, then the common ratio is O…

A: Given a1,a2,a3…,an is geometric sequence.  To find the common ratio if a3=686 and a5=33614.…

Q: what is the 22nd term  in the fibonacci sequence with the calculation

A: The nth term of fibonacci sequence is Fn=1+5n-1-5n2n5

Q: What is the nth-term formula for the number of tiles in the nth figure of the sequence? a4 az a2 a1

A: Given, Number of tiles in a1 = 4 Number of tiles in a2=8 Number of tiles in a3=14 Number of tiles in…

Q: Refer to the image to identify the following: -What is the nth-term formula for the number of tiles…

A:

Q: Assume that the pattern shown by the square tiles in the following figure continues. a. What is the…

A: The appropriate term of the figure is to be identified by obtaining an appropriate order of sequence…

Q: Calculate how many different sequences can be formed using all the letters in ARKANSAS? The number…

A: In ARKANSAS there are  number of As=3 number of Rs=1 number of Ks=1 number of Ns=1 number of Ss=2…

Q: find the speafied geometric sequence. 9, = 20, a term of the 135 %3D %3D 16 a3=?

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Q: Find the 36th term of the arithimetic sequence with third term 10 and eight term 25?

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Q: Which of the foliowing sequence illustrates a Fibonacci sequence?

A: Follow the procedure given below.

Q: Write an explicit formula for a_nan​, the n^{\text{th}}nth term of the sequence 180, -30, 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.