In an arithmetic sequence a1, a2,* an, if the first term is 2 and the comnon differenCe is 4, then a14 is

Q: In an arithmetic sequence a1, a2,, an, if the first term is 7 and the common difference is 6, then…

A: here option C is true

Q: In an arithmetic sequence a1, a2, ·.., an , if the first term is 4 and the common difference is 3,…

A: we use the formula of nth term an=a+(n-1)d.and solve the question. see 2nd step.

Q: Given az = 32 and az = -8 of an arithmetic sequence, find the sum of the first 9 terms of this…

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Q: In an arithmetic sequence, if az = -12 and ag =-31, then the common difference d is O 19 O 22 O 21 O…

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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: In an arithmetic sequence {a1, a2, d3, - the first term is 6 and the 11 term is 46, then S1 is 330…

A: Use the formula for the sum of  n terms of an arithmetic sequence.

Q: 1. Consider a sequence that begins with 1, 4, 8, Explain why each of the following could be the next…

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Q: In an arithmetic sequence , if a2 = –15 and az -34 , then the common difference d is %3D O 21 O -53…

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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: Let ("), n-3n+36 and (") be the first three terms of arithmetic sequence. Find the sum or first 25…

A: nC2, (n²-3n+36)/2 and (n+1)C2 be the first three terms of AP   we know that    definition of nCr =…

Q: Write a recursive formula for an, the n" term of the sequence 17, 21,

A: Given that: The series is : 17, 21, 25, ....

Q: e2, e4, e6,e®,..

A: The given sequence is, e2, e4, e6, e8, … To determine whether the sequence is Arithmetic or…

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: For the sequence an = an– 1+ an–2 and a1 = 5, a2 = - 5, а2 = 6, its first term is its second term is…

A: Given an=an-1+an-2 a1=5,a2=6

Q: In an arithmetic sequence (a1, az, a3, .....) the first term is 9 and the 24th term is 124, then S24…

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Q: In an Arithmetic Sequencea1, a2, . ..an the first term is 8 and the 24th term is 146, then S24 is O…

A: Arithmetic progression

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: 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: Which of the following sequences is an arithmetic sequence? Select all correct answers.

A: We have to find the arithmetic sequences from the following sequences.

Q: an arithmetic sequence a1, a2, · ., an , if the first term is 5 and the common difference is 2, then…

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Q: In an arithmetic sequence a1, a2, , an, if the first term is 4 and the common difference is 4, then…

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

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Q: In an arithmetic sequence {a1, a2, a3, ·} the first term is 7 and the 14th term is 46, then S14 is…

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Q: In an arithmetic sequence a1, a2, · • • , An , if the first term is 6 and the common difference is…

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Q: In an Arithmetic Sequencea1, a2,.an, the first term is 7 and the 11 term is 57, then S is

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

Q: In an arithmetic sequence a1, a2,, an , if the first term is 6 and the common difference is 4, then…

A:

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

A: 3, -6, 9, -12, .... From this series we see that each term is a multiple of 3. In fact the nth term…

Q: For the sequence an = an –1 + an –2 and a1 = 3, a2 = 4, : 4, its first term is its second term is…

A: Given sequence is an=an-1+an-2   and a1=3, a2=4. Here,   a1 is the first term of the sequence a2 is…

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

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Q: Given the arithmetic sequence an with aj -7 and d :-9, find az. | Do not include "az =" in your…

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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: For the sequence an = an – 1+ an – 2 and 1, a2 = 2, ai its first term is| 1 its second term is 2 its…

A: The given sequence is a recursively defined sequence. So, one can obtain the terms of the sequence…

Q: In an arithmetic sequence a1, a2, · ·-, an , if the first term is 7 and the common difference is 5,…

A: We use arithmetic progression formula an = a + (n-1)d

Q: For the sequence an = an –1 + An – 2 and a1 3, a2 = 4, | its first term is its second term is its…

A: Given, a1 = 3 a2 = 4 an = an-1 + an-2

Q: In an arithmetic sequence {a1, a2, az, · .....} the first term is 6 and the 20th term is 101, then…

A: Given : a = first term =6

Q: Given a10 = -19 and a17 -40, find the first four terms of the arithmetic sequence. %3D a1 a2 , az a4

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Q: Refer to the following arithmetic sequence: 2, 10, 18 , 26, 34, 42, .... What is a recursive formula…

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Q: For the sequence an = An –1 + an – 2 and a1 1, a2 = 2, its first term is its second term is its…

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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: Given the explicit formula for an arithmetic sequence find the first five terms and the 52nd term:…

A: Given, an = -10n - 26 for 1st term n = 1 ,  a1 = -10 *1  - 26 = -36 for 2nd term n = 2 ,  a2 = -10…

Q: GIven arithmetic sequence with ap=3 and an ar--49.Eind an 31 and Lan h=1

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Q: The first three terms of an arithmetic sequence are given. Find an expression for t in terms of n,…

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Q: In an arithmetic sequence, if a2 =-13 and az =-33, then the common difference d is O -20 O-53 O 20 O…

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Q: In an arithmetic sequence, if a2 = -14 and az = -31, then the common difference d is 19 -48 O 17 O…

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Q: In an arithmetic sequence a1, a2, · ·., an , if the first term is 3 and the common difference is 4,…

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Q: The general term of a sequence is given and involves a factorial. Write the first four terms of the…

A: The general term of a sequence is given as ,an=n2n!. To find the first four terms of the given…

Q: In an arithmetic sequence , if az = -8 and az = -23 , then the common difference d is. O - 18 O 17 O…

A: In an arithmetic sequence, if a2 = -8 and a3 = -23 , then the common difference d is

Q: Write a recursive formula for an, the nth term of the sequence 2, 6, 10, ...

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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.