A sequence is described. First term=7 Common ratio=2   which  is an equivalent for this sequence if an represents the nth term in the sequence?

Q: A geometric sequence has first term ; and common ratio 3. (i) Find the fifth term. (ii) Which is the…

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Q: What is the common ratio/difference of the given sequence? 36, 12, 4. O +3 O-3 O *3 *1/3 O 1/3

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Q: Determine if the sequence is arithmetic. If it is, find the common difference and the three terms in…

A: (13)   -33,167,367,567. diff. = 167-(-33) = 200 diff= 367-167 = 200 diff = 567-367 = 200 All are…

Q: A tribonacci type sequence begins 1,2,1, wrote the next five terms of the sequence.

A: Tribonacci series

Q: PROVE: Reciprocals of a Geometric Sequence If a,, az, az, ... is a geometric sequence with common…

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Q: 11 and the 13" term, a,3, is equal to 33. Find the value of the 17t" For a given geometric sequence,…

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Q: Find the common ratio and write out the first four terms of 7n+2 the geometric sequence 6 Common…

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Q: 2. Make your own Fibonacci Sequence up to 10th series and test if the ratio will result the same…

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Q: The first three terms of a geometric sequence are as follows. 2, -10 , 50  Find the next two terms…

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Q: The first term of a geometric sequence is 8, the second term is 24, & the 3rd term is 72.  What is…

A: The sum of first  n  terms of a geometric series can be calculated using the formula, Sn=a1-rn1-r.…

Q: 9. A sequence is defined by the rule a, = +n with a, = 20. Find the value of a, %3D

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Q: The first term of a geometric sequence of positive terms is 5 and the fifth term is 1280. (i) Find…

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Q: The first three terms of a geometric sequence are as follows. 10, -40, 160 Find the next two terms…

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Q: The third, fourth and sixth terms of a sequence are given. Write in the missing terms. Find the…

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Q: The 1st, 5th, and 13th terms of an arithmetic sequence re the first three terms of  geometric…

A: Let the first term of arithmetic series be a0 So the fifth term is And the thirteenth term is   So…

Q: Knowing that 198 is not a term in the Fibonacci Sequence, what Fibonacci term (number) is the…

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Q: 6 The nth tem ofa sequence is.guen find the first five terms of the sequence.

A: Simply put different values of "n" to get the desired term.

Q: In our discussion about Fibonacci sequence, we said that Fibonacci numbers occur in the species of…

A: finonacci sequence is defined as sequence in which each term is the sum of two proceeding terms.…

Q: The first term of an arithmetic sequence is 10, and the tenth term is 2.(a) Find the common…

A: a = 10 ,   a10 = 2   Using an = a + n - 1da a10 = a +  n - 1 d         2  = 10 + 9 d2 - 10  = 9d…

Q: a geometric sequence has a first term of 8/3 and a fourth term of 9. find the common ratio. Write…

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Q: The 7th term of an arithmetic sequence is −44, and the common difference is −2. Find the first term.

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: The nth term of a sequence is given. Find the first 4 terms. an 6n - 8 6, 4, 10, 16 -2, 20, 10, 32…

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Q: The common ratio in geometric sequence Is 3/2, and the fifth term is 1. Find the first three terms.

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Q: A geometric sequence starting with 6 is given by xn+1 =Xn. Find the 5th term in the 3 sequence.

A: Given that the geometric sequence with first term is 6 x1 = a = 6 Given :- xn+1 = 13xn put n = 1 x2…

Q: 40 and a4 1000, then the common ratio of the geometric sequence is If a2 %3D

A: Given that, a2=40 and a4=1000 and we know that an=arn-1

Q: Determine whether the given sequence is arithmetic, geometric, or neither. If the sequence is…

A: Given Sequence: 3, -1, 1, 3, . . . To find: Determine whether the given sequence is arithmetic,…

Q: The question says: "Find the first 4 terms and the 100th term of the sequence whose nth term is…

A: Given nth term of the sequence is as below

Q: Find the value of the given terms in Fibonacci Sequence. Show your solution 1. 20th 2. 25th term

A: NOTE*** As per bartleby guidelines for more than one question asked only first to be answered, send…

Q: Þescribe the Lucas sequence in 1 or 2 sentences. Then, find the 9th and 10th terms of the Fibonacci…

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Q: The sixth term of an arithmetic sequence is 28 and the ninth term is 36. Count the sum of the first…

A: We use the sum of an arithmetic sequence to answer the given question.

Q: The first six terms of the Fibonacci sequence are 1,1,2,3,5, and 8. 1. Write the first 12 terms of…

A: Fibonacci series goes like: xn=xn-1+xn-2The nth term of the series is sum of the previous two…

Q: A geometric sequence has a first term of 3 and a common ratio of 2i  1. Write the first 4 terms of…

A: Given geomatric sequence has  First term 'a' = 3 Comman ratio 'r' = 2i

Q: 5. Which sequence has a common ratio of 2? {20, 4, 0.80, 0.16, 0.032, 0.0064, ...} {20, 10, 5, 2.5,…

A: Option (d) is the correct sequence which will have a common ratio of 2.

Q: If the given sequence is a geometric sequence, find the common ratio. If it is not a geometric…

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Q: The general term of a sequence is given an = (1/2)n. Determine whether the sequence is arithmetic,…

A: To Determine: whether the sequence is arithmetic, geometric, or neither. If the sequence is…

Q: The SECOND and THIRD term in a geometric sequence is 16 and 5th term is 54. Find the sum of the…

A: Topic:- sequence and series

Q: You were given the sequence 14, 238, 4046, … a) Prove that the sequence is a geometric sequence and…

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Q: The first four terms of a sequence are given. Determine whether these terms can be the terms of a…

A: We can make it easier for you

Q: how do we show that the term of the sequence U(n+1)=aUn+b is the one in the picture

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Q: Determine whether the given sequence is arithmetic, geometric, or neither. If the sequence is…

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Q: Determine whether the given sequence is arithmetic, geometric, or neither. If the sequence is…

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Q: he third term of a geometric sequence is 36 and the tenth term is 78732 find the common ratio R:…

A: Third term of G.P is 36 Tenth term of G.P is 78732 T3=ar3-1=36......equation…

Q: The "Tribonacci" sequence is the sequence defined by To = T1 = T2 =1 and %3D Tn+3 = Tn + Tn+1+Tn+2…

A: The ''Tribonacci'' sequence is the sequence defined by,  T0=T1=T2=1 and Tn+3=Tn+Tn+1+Tn+2

Q: Determine whether the given sequence is arithmetic, geometric, or neither. If the sequence is…

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Q: The general term of a sequence is given.Determine whether the sequence is arithmetic, geometric, or…

A: Given: an=12n

Q: A test question lists the first four terms of a sequence as 2, 4, 6, and 8 and asks for the fifth…

A: Given sequence is: 2,4,6,8, Here we observe that: 4-2=26-4=28-6=2 Thus, we observe that each…

Q: A particular arithmetic sequence begins 2, 9, 16, . Find the sum of the first 100 terms.

A: 2, 9, 16, ........ It is an arithmetic sequence with,

Q: What did Fibonacci say about The Golden Ratio? (A) The Fibonacci sequence is equal to The golden…

A: In this question, the concept of the Fibonacci Sequence is applied. Fibonacci sequence The Fibonacci…

Q: The first term of an arishmetic sequence is 5 and the common difference is 5 find the nth terms of…

A: The first term of an arithmetic sequence is 5. The common difference is 5. Formula: The n-th term of…

Q: Determine whether the given sequence is arithmetic, geometric, or neither. If the sequence is…

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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.