in an arithmetic progession the 17th term is 3 times the 6th term. if the 11th term is 63, what is the sum of the first 20 terms?

Q: Suppose we have the sequence 5, 5/9, 5/81, 5/729, ... Find an explicit formula for the nth term of…

A: Given Data: Sequence: 5, 5/9, 5/81, 5/729 Check common ratio for a geometric sequence. The common…

Q: Use inductive reasoning to guess the next two numbers in the sequence:1, 2, 6, 15, 31, 56, . . .

A: Given sequence, 1, 2, 6, 15, 31, 56, ...

Q: Use inductive reasoning to determine the next two terms in the sequence: A , 6 , D , 16 , H , 46 ,…

A: The inductive reasoning is a type of reasoning in which we draw conclusion from the given data.…

Q: A sequence is defined recursively by an +1 = 3a, - n, a1 = 2. Find the first six terms of the…

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Q: In a sequence of 12 numbers, each term, except for the first one, is 12^11 less than the previous…

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Q: Write a recursive formula for the sequence 15, 26, 48, 92, 180, .... Then find the next term.

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Q: Write the explicit formula of the sequence 25, 21, 17, 13

A: Given 25,21,17,13 It is in arthematic series Because it has difference 4 for each number.

Q: Find the sum of the first 15 terms of the arithmeticsequence with first term -4 and common…

A: Consider the given information as a=-4 and d=2

Q: ) consider the sequence 2,6,10,14... what is the 42nd term? b) consder the sequence 1200,600,300...…

A: Given :- a) consider the sequence 2,6,10,14... what is the 42nd term?   b) consider the sequence…

Q: A sequence can be generated by using an = 3a (n – 1), where a1 = 5 and n is a whole number greater…

A: Given,     an=3an-1,  where  a1=5 and n is whole number greater than 1.

Q: The recursive formula represents the sequence {2, -22, 242,...}. What is the value of r? an = r.…

A: We will observe the sequence to find the pattern

Q: Find the first four terms and the eighth term of the sequence.

A: Let the given general term is:                                               Tn=2nn2+2

Q: Use inductive reasoning to predict the next term in the sequence: 3, 4, 7, 11, 18, 29

A: Given sequence is 3, 4, 7, 11, 18, 29 We can observe that each term after the 2nd term in the…

Q: Which recursive sequence would produce the sequence 6, –15, 48, ..? O a1 = 6 and an= - 3a, 1 + 3 %3D…

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Q: For the sequence an = an-1 + an-2 and a1 = 2, a2 = 3, %3D ts first term is ts second term is ts…

A: Give: an=an-1+an-2  ;   a1=2, a2=3 Since, an is called the nth term  Therefore, First term = a1 = 2…

Q: Which recursive sequence would produce the sequence 7, 33, 137, ...? a1 Ο αι Ο αι = a1 :7 and an = 7…

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Q: state the recursive formula that generates the last number in the sequence 1, 2, 3, 5, 7, 11, 15,…

A: The given sequence is 1, 2, 3, 5, 7, 11, 15, 23, 31.

Q: Find A and B so that (a + b), (3a - 2) and (3a + 4b) are terms of arithmetic sequence.

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Q: Which recursive sequence would produce the sequence 7, -30, 155, ...? a1 = 7 and an a₁ = 7 and an O…

A: Given :Sequence : 7, -30, 155, ...

Q: Find the sum of the first 10 terms of the arithmeticsequence with first term 50 and common…

A: Given, First term of Arithmetic progression (AP) is a=50 common difference , d=3 Number of terms,…

Q: Is the sequence an = 5 + 4n arithmetic? Your answer is (input yes or no): If your answer is yes, its…

A: Given an=5+4n

Q: Is the sequence an = 8 + 3n arithmetic? Your answer is (input yes or no): If your answer is yes, its…

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Q: The first term is 1/2 and the second term is -1 /2 . Find the sixth term.

A: Given, a1=12, a2=-12 Here, d=-1 therefore the nth term is, an=a+n-1d

Q: Is the sequence an = 8 + 6 arithmetic? %3D Your

A: Given,          The sequence is an=8+6n.

Q: In an arithmetic progression the 17th term is 3 times the 6t term. If the 11th term is 63, what us…

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Q: Find the first four terms and the eighth term of the sequence.

A: Our Aim is to find four terms and the eighth term of the sequence given below:-3n-2n2+1-(i)

Q: Is the sequence an = 3 + 7n arithmetic? Your answer is (input yes or no): If your answer is yes, its…

A:

Q: Find the 8th term in the sequence 18n-36.

A: Put n= 8

Q: Find the 60th term of the sequence 5, -2,-9,-16,... O a-478 O b.non of them

A: Here given as 5, -2, -9, -16, ...... The first term of sequence is a1=5, Also the common difference…

Q: Is the sequence an = 6 + 3n arithmetic? Your answer is (input yes or no) if your answer is yes, its…

A:

Q: In a sequence {1, 5, 15, 35, 70, 126}, what is the recursion formula for these numbers in this…

A: Given: a sequence 1, 5, 15, 35, 70, 126, ... To find: Recursion formula.

Q: Which recursive sequence would produce the sequence 4, 15, 59, ...? a1 = 4 and a, = 5an-1 – 5 a1 = 4…

A: NOTE: Refresh your page if you can't see any equations. . the first term is  the second term is…

Q: What is the 11th term of the arithmetic sequence 1+2i, 3+3i, 5+4i...

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Q: Which word best describes this formula for the sequence a,? a, = 41n - 2n2 - 96n + 44 explicit…

A: Given a formula of an .

Q: In an arithmetic sequence the2ndterm is 5 and the3rdterm is 11. What is the20thterm?

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Q: Find the 10th term of the arithmetic sequence. 2, - 4, - 10, - 16, ... The 10th term is

A: Given : 2, -4, -10, -16

Q: For the sequence an = an -1+ an-2 4, az = 5, its first term is its second term is its third term is…

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Q: Is the sequence an = 3 + 8n arithmetic? %3D Your answer is (input yes or no): If your answer is yes,…

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Q: List the first five terms of the sequence. az = 5, an+1 = 5an - 4 Sa, - 4 a = a2 = a3 a4 = as II

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Q: Is the sequence ɑn 8 + 9n arithmetic? Your answer is (input yes or no) if your answer is yes, its…

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Q: Find the firstive terms of the recursive sequence 2 a, -3 a,-2a+1

A: The terms of recursive sequence can be obtained by substituting the value of n, the the value of…

Q: find A and B so that (a+b), (3a-2), (a+7b) and (3a+4b) are terms of arithmetic sequence

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Q: Is the sequence a, =2n – 10 arithmetic? Your answer is (input yes or no) if your answer is yes, its…

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Q: Use inductive reasoning to find the next two terms of each sequence.   6. 1/2, 1/4, 1/8, 1/16…

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Q: Write a recursive formula for the sequence 8, 10, 12, 14, 16, .. Then find the next term.

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Q: Determine the common ratio and then find the recursive rule for the given sequence: -3, -15, -75,…

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Q: Use the sequence and inductive reasoning to make a conjecture.

A: We are asked to find color of thirteen figure.

Q: Use the formula an = 4 + (n - 1)(-7) to find the eighth term of the sequence 4, -3, -10, . . . .

A: We have to find eighth term of the sequence: 4, -3, -10, ..... Since above sequence is in arithmetic…

Q: Write a recursive formula for the sequence: { – 9, – 27, – 81, – 243, – 729, ...} - - -

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.