You were given the sequence 14, 238, 4046, … a) Prove that the sequence is a geometric sequence and find the common ratio r. b) Which term in the given sequence has a value of 337925966?

Q: In geometric sequence a1, a2,, an, if az 720 and a5 25920, then the common ratio is %D O 36 O 5 O…

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Q: Write the terms of a sequence defined by a recursive formula Question Given the sequence r, defined…

A: We find r2 by plugging n=2 and r1=2 in the formula for rn

Q: Find the common ratio and write out the first four terms of the geometric sequence (1.04)" n-1…

A: Lets find common ratio r and a1,a2,a3,and,a4.

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: Consider the sequence c= {3, –12, 48, – 192, 768, ..} - | a. What is the common ratio? b. What are…

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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: Consider the following sequence of towers of unit cubes. How many unit cubes are there in the nth…

A: First we will count the number of cubes in all the four diagrams. In Diagram 1: 1 cube In Diagram…

Q: F21 - 5F, = (4F, + F11 /2 =| (3F,3)/6 =

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Q: In a geometric sequence, if as = 15625, az = 390625 then the common ratio is a. 5 b. 8 C. 25 d.…

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Q: Given the geometric sequence: 35 az = 3 245 a1 = 5, a2 = 9. find a formula for the nth term: an =

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Q: The first four terms of the sequence defined by a, = na,-1+n²an_2, a0 = 1, a2 = 3 are %3D ao = 1, a1…

A: Given nth term of the sequence is, an=nan-1+n2an-2 , and  a0=1, a1=3. Substituting n=2 in equation…

Q: Show that the given sequence is geometric, and find the common ratio.

A: The given sequence is, 17,37,97,…,173n-1,… Here, sn=173n-1 The objective is to show that the given…

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: Given the following sequence, write the explicit formula and find the 112th term. 7, 11, 15, 19, 23,…

A: We have to find the explicit formula and 112th term.   According to bartleby guidelines , we can…

Q: Based on the input/output chart below, answer the following questions in the space provided below.…

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Q: Using the idea for the construction of the Fibonacci numbers, complete the list of the first 15…

A: Using the idea for the construction of the Fibonacci numbers, complete the list of the first 15…

Q: In geometric sequence a1, a2, · · · , an , if a4 = 405 and ag = 3645, then the common ratio is 4 O 3…

A: To find the common ratio

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: Given the explicit formula for an arithmetic sequence find the common difference, the first five…

A: Topic- sequence and series

Q: O O A 2. What is the approximate ratio between the Fibonacci number 610 and the number 377, which…

A: Use Fibonacci series

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: The general term of the sequence 1, 24'8 ... , starting by n=1 is to0 1 (i) n=1 +00 1 (ii) n=1…

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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: If the given sequence is a geometric sequence, find the common ratio. 4/3, 8/3, 16/3, 32/3, 64,3

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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: For a given geometric sequence, the common ratio, r, is equal to 2, and the 10th term, ₁o, is equal…

A: Here, nth of a GP , an = a1 × r(n - 1)

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: In geometric sequence a1, a2, - --, an , if a4 = 1472 and a6 23552, then the common ratio is O 4 O 5…

A:

Q: Give an explicit formula for an, the apparent   nth term in the sequence 7, 17, 7, 17, 7, 17...

A: .

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: 8. What is the common ratio of the sequence 712 10 '243h7 g®,...? 8 12 27h39

A: From the given series:a1=38h9g14a2=112h2g12We know that common ratio is given by…

Q: In geometric sequence a1, a2, •• • , An , a3 = 1792 and ag = 114688, then the common ratio is 7 9.…

A:

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: In geometric sequence a1, a2, · -, an , if az = 416 and a5 6656, then the common ratio is O 64 O 4 O…

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Q: Given the sum of the first 6 terms of a geometric sequence is 27,342 and the common ratio is 5,…

A: Sum of first 6 terms of a geometric sequence is 27342 and common ratio is 5 we have to determine the…

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

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Q: Which of the following conjectures describes the pattern of the sequence 2, 4, 8, 16, 32? * O Two is…

A: Given: 2, 4, 8, 16, 32?

Q: dentify the sequence as geometric ór arithmetič. (r, = 11000 Im = 0.7rn-1

A: We can check the series as below by definition of geometric series

Q: The general term of sequence I,Ź stanting by n =D0 is

A: By taking limit from n=0 to 3

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: Find the explicit formula for the geometric sequence a, with the following information given. aj =…

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Q: Given the geometeric sequence 8, 6/1, 9/2 find an explicit formula for an

A: Let's call the i-th term of the sequence as ai.We have a1 = 8a2 = 6and a3 = 9/2

Q: Given the following sequence, write the explicit formula and find the 112th term. 7, 11, 15, 19, 23,…

A: Question 1,Given,            The sequence is 7,11,15,19,23,...To find : The explicit formula and…

Q: The general term of the Fibonacci sequence is: A) F, = V5 A-V6((노)"- (보)") B C ()" - (→4)") D

A: given,

Q: Find a1 and r for a geometric sequence {a, from the given information. 41 az = 123 and a,= 9 a1 r=

A: The given terms of the geometric sequence,a3=123 and a6=-419

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.