In geometric sequence a1, a2,, an, if az 720 and a5 25920, then the common ratio is %D O 36 O 5 O 216 O 7

Q: If the 3rd and 13th terms of an arithmetic sequence of numbers are 7 and 27, respectively, then the…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the common ratio of the given sequence. 3 1 1 1 1

A: To find the common ratio:

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

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Q: ind the sum of the geometric series 20 40 5 - " + 9. 27

A: In this question, the concept of the sequence is applied. Sequence A series is created by a…

Q: Which of these represents the sequence: 36, 30, 24, 18, ...? O an 36+6n O an = 36 – 6n O an = 42 –…

A: The expression for the nth term of arithmetic sequence is: an=a1+n-1d Where; a1 is the first term, n…

Q: In each case, find the first 5 terms of the sum and compute S. 31-1 r: The first 5 terms are: The…

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Q: In geometric sequence a1, a2,, an , if a2 = 44 and a4 = 176, then the common ratio is O 8 1 4 3. O 2

A: Given that in a geometric sequence  a2  = 44 And  a4 = 176  We need to find common ratio . As we…

Q: Given a Fibonacci sequence, evaluate the sum of 1/ (an 1 x an+1) from 2 to infinity. А. О В. -1/2 C.…

A: We have to find the sum of series.

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

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Q: In a geometric sequence t, = 625, and the common ratio is r = For what value of 1s t %3D 25

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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: In the Fibonacci sequence (0, 1, 1, 2, 3, 5, 8, ...}, what is the value of Fg ? D F = 21 OF = 34 D F…

A: Given : Fibonacci Sequence 0,1,1,2,3,5,8,..To find :F8

Q: In each case, find the first 5 terms of the sum and compute S 31-1 00000 The sum is The first 5…

A: Given data is : ∑i=1n3i-1 Let an=3i-1  where i=1,2, 3,4 ......n Substitute i=1 so first term…

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: In an arithmetic sequence a1, a2, ·.., an , if the first term is 7 and the common difference is 3,…

A: Given that in an arithmetic sequence  a1 , a2 .......... ,an.          First term is 7 and common…

Q: In an arithmetic sequence a1, a2,* an, if the first term is 2 and the comnon differenCe is 4, then…

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Q: E. In a sequence: a = 3, az = 7, and a, 2a,-1 + a,-2 for n2 3. %3D (12) Find az. (13) Find a4.

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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: d) How many different three letter sequences can be formed using the letters in the word OPTIC.…

A: Topic- permutations and combinations

Q: Given the explicit formula for a geometric sequence find the common ratio, the term named in the…

A: By using the general formula of a G.P. we can find the common ratio as well as 11 th term

Q: In each case, find the first 5 terms of the Sum and comgute S

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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, , c are any real numbers and if a, b' , c' are in Geometric sequence, then a) а, , c are in…

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Q: 14. In a sequence of three squares, the second and third squares are symmetrically in- scribed…

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Q: In a sequence of numbers, az3 = 0, a4 = 4, a5 = 8, a6 = 12, and a7 = 16. Based on this information,…

A: According to the given condition a3=0, substitute 3 for n in all the equations.

Q: For the sequence defined by: ai = 2 1 + 5 An аn + 1 — Find: a2 az = a4 = II

A: To find  a2 , a3 , a4  substitute n=1,2,3 respectively  in the given equation.

Q: Find the first four terms and the 100th term of the sequence: a, = 3n – 2 aj= a2= az= a4= aj00 =

A: Use the nth term formula to evaluate the required terms.

Q: In geometric sequence a1, a2, , an , if a5 3328 and a7 53248, then the common ratio is %3D 3 O 4 O…

A: In the GP Find the common ratio of. The GP Fifth and seventh term are given

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

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Q: Given the geometric sequence: 100 ao 12, ај — 20, а2 3 find a formula for the n-th term: An

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Q: Given 1. In the sequence 0 ,-5, -10, -15, what is the 3rd term? 2. If az = -3, d= 4, what is the 1*…

A: AP

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

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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: Given the geometric sequence 13 113 15 15 3,125 625 125 96 48 24 **** what is as?

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Q: or each of the following sequences (eithe 9, 18, 27, 36, 45, .

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

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 sequence of "5, 9, 13, 17, ...". Determine the sum of its first 10 terms. O 210 O 220 O…

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Q: If we do one number from the sequence divided by the number before it? What answer do we get closer…

A: The Fibonacci sequence is the sequence given by mathematical expression, Fn=Fn-1+Fn-2 The terms of…

Q: In an arithmetic sequence a1, a2, · · · , an , if the first term is 8 and the common difference is…

A: The general form of an arithmetic sequence is a,a+d,a+2d,a+3d,... , where a is the initial term…

Q: If a2 = 10 and a4 = 40, then the common ratio of the geometric sequence IS O 1 O2 3. O10 04

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

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Q: If a sequence has 6 letters with each letter either A or B, how many sequences have more As than B…

A: Using definition of combination, no.of such sequences obtained

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: Is the sequence geometric? If so, identify the common ratio. 3, 12, 48, 192, .. A. yes; -4 B. yes; 4…

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

A: given,

Q: Given a , b ,c are any real numbers and if a', b² , c² are in Geometric sequence, then a) a, b , c…

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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.