1. determine the nth term formula for the number of square tiles in the nth term figure. 2. how many square tiles are there in the twelveth figure of the sequence? 3. In which figure will there be exactly 302square tiles?

Q: Refer to the sequence below. How many dots should there be in the next figure? Answer:

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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: Give the common ratio of the * sequence 10, 2, 2/5 , .... O 1/ 5 O 5 O -5 O - 1/ 5

A: common ratio is the ratio of particular term to previous term.

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…

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Q: 1. The number of cubes in each pattern below forms a geometric sequence. How many cubes would be in…

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Q: Find the formula (nth term) of the sequence 7, 10, 15, 22, 31, .. . O an = (-2)" O an = (n-5)/4 an =…

A: As per company's guidelines, we are supposed to solve first question for you, kindly repost other…

Q: (a) What is the nth-term formula for the number of tiles in the nth figure of the sequence? (b) How…

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Q: Let Fib(n) be the nth term of the Fibonacci sequence, with Fib(1)=1, Fib(2)=1, Fib(3)=2, and so on.…

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Q: F29 * 3 -( 3

A: We know that, nth Fibonacci number is given by the formula Fn=151+52n-1-52n

Q: The 24th term of a Fibonacci sequence is 46368 and the 25th term is 75025. What is the 22nd term? a.…

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Q: Consider an infinite sequence of circles as in the diagram. What is the sum of the areas of all…

A: This is a problem on infinite geometric progression which is solved as shown below.

Q: The third term in the sequence with a1 = 4 and an= an-1+5n where n > 1 is 29 4 O 19 34 O 14

A: Explanation of the solution is given below...

Q: Given the sequence: 5, 12, 19, ... find the 8th term. O 54 O 36 O 61 O 49

A: Given sequence, 5,12,19...

Q: The given pattern continues. Write down the nth term of the sequence {an} suggested by the pattern.…

A: Consider the given pattern. 4,-8, 12, -16,...  It is an alternating sequence having negative even…

Q: In a sequence, the nth term is the sum of the positive divisors of n. What is the 20th term? O 21 O…

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

A: This question we are given we are given with a series and we have to find that a term which will…

Q: Find the explicit formula for the given sequence. 2, 8, 32, 128, . .... a = 2.4"-1 A a = 8.4"-1 %3D…

A: We have the given sequence is 2,8,32,128............

Q: The third term in the sequence with a1 = 2 and an = an-1+4n where n > 1 is, O 22 O 10 O 14 O 26 O 2

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Q: What would be the nth term formula for the number of tiles in the nth figure of the sequence? -How…

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Q: A formula for the sequence 0, 3, 8, 15, 24, is Select one: О a.(п - 1) (2n -1) O b.n(2n + 1) О с (п…

A: Given sequence is 0,3,8,15,24..... Now we can write, 0=1-13=4-18=9-115=16-124=25-1

Q: (2n + 1) ifn is divisible by 4 18. a 21 if n is not divisible by 4

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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: Predict the general, or nth term, an, 3, 6, 9, 12, 15, ... O A. 3n OB. +3 OC. n³ O D. 4n of the…

A: Here, the given sequence is: 3,6,9,12,15,...

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

A: We will find out the required value.

Q: 2: Assume that the patterns shown by the square tiles in the following figure continues. What is the…

A: By illustration of given figures we solve the given problem as follows:

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: 11. In a geometric sequence, if a2 = 21 and az = 5103, find a and r. Make sure to use the…

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

A: We will find nth terms using pattern given

Q: Given the geometric sequence: 2, 6, 18, 54, 112, . What is the common ratio and what is the 13th…

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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: 2: Assume that the patterns shown by the square tiles in the following figure continues. What is the…

A: Given that:   There are 5 pattern shown in the given figure, and find the total number of tiles in…

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: let be a sequence sit. 2 for oxaza2 12 then 6'mam=? 348

A: Let an be a sequence  such that for 0<a1<a2 an+1=an+an-12,n⩾2. Find limn→∞an.

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: 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: 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: Given the figure below, answer the following questions: as a. Determine the nth term formula for the…

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Q: 14. Assume that the pattern shown by the tiles below continues. How many square tiles are in the…

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Q: 11. Determine the number of terms in the following sequence. 2, 6, 18, ... 1458 ......

A: Our Aim is to calculate the number of terms in the sequence given below:-2,6,18,.....,1458 -(i)

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

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Q: 4. Find the first five terms of the sequence in which the sixth term is 47 and twelfth term is 77.…

A: Given:Arithmetic progression  T6=a+5d=47  T12=a+11d=77   We have to find T5 = ?

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: If a=36 and r is greater than 1, will the terms in the sequence get bigger or smaller?

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Q: 1) Find a formula for the nth term of the sequence of 56 102 27

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Q: Write an explicit formula for a_nan​, the n^{\text{th}}nth term of the sequence 2, 4, 6,

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Q: Write an explicit formula for a_nan​, the n^{\text{th}}nth term of the sequence 180, -30, 5,

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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.