Find the first term and the common difference of the arithmetic sequence where the 7t" term is 12 and the 13th term is 18. The first term is The common difference is The general term is an -

Q: Calculate the next term in the geometric sequence that is calculated with a ratio of 32 if the…

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Q: Find the 81st term of the arithmetic sequence 24, 11, -2, ...

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Q: Find the 65th term of the arithmetic sequence with first term 3 and common difference -1/2 (negative…

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Q: Find the 53rd term of the arithmetic sequence –12, -1, 10, ...

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Q: Determine the common difference, the fifth term, the nth term, and the 100th term of the arithmetic…

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Q: Which term of the arithmetic sequence 1, 9, 17, 25, ... is 345? It is the th term.

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Q: Find the 12th term of the geometric sequence if the first term is 2 and common difference is 3.

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Q: The first term is 25, and the common difference is 18. Which term of the sequence is 601?

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Q: The second term of a geometric sequence is 6 and the fourth term is 96. Find the possible values of…

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

Q: The first two terms of the arithmetic sequence are given. Find the missing term. a1 = 6, a, : = 19…

A: Given that first term a1 = 6 and second term a2 = 19 We have to find fifth term a5 = ?

Q: If the fourth term of an arithmetic sequence is 13 and the second term is 3, find the 24th term.

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Q: Find the 8th term and the equation of the nth term for the arithmetic sequence with a, = 92 and d =…

A: We can find the 8th term and nth term as below

Q: Find the nth term of the arithmetic sequence whose initial term is a1= -1 and the common difference…

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Q: Find the 12th term of the geometric sequence 5, 20, 80, ...

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Q: an arithmetic sequence is 75 and the second term is 11 Find the first term.

A: Here I am providing the handwritten solution

Q: Find the specified term of the geometric sequence. 6th term: 5, 15, 45, . . .

A: sequence is 5,15,45,......... first term, a1 = 5 r = a2/a1    = 15/5     = 3

Q: Find the 38th term of a sequence where the first term is −11 and the common difference is 2.

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Q: Find the first term and the common difference of the arithmetic sequence whose 6th term is – 9 and…

A: Explanation of the solution is given below...

Q: Find the 37th term of an arithmetic sequence whose second and third terms are −4 and 12.

A: Note:-  We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Find the 86th term of the arithmetic sequence 16, 18, 20, ...

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Q: The geometric mean between the first two terms in a geometric sequence is 32. If the third term is…

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Q: If the 3rd term of an arithmetic sequence is 13 and the 9th term is 37, what is the common…

A: nth term of arithmetic sequence is goven by,         an = a1 + (n - 1)d      where a1 is first term…

Q: Find the 8th term of the geometric sequence 6, 18, 54, ...

A: A sequence is a function with domain being the set of natural numbers and the range being the set of…

Q: uppose that the fourth term of a geometric sequence is 2/9 and the sixth term is 8/81. Find the…

A: Given 4th term of geometric sequence=298th term of geometric sequence=881

Q: The 5th term of a geometric sequence is 45 and the 8th term is 360. Determine the 20th term.

A: Let the first term of the sequence is a and the common ratio is r. We know that the formula for the…

Q: Find the 35-th term in the arithmetic sequence 5, 11, 17,.

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Q: The median of the first five terms of a geometric sequence is 4. The ratio of the first term to the…

A: Let the terms of the GP be a,ar,ar^2,ar^3..

Q: Find the common difference d and the nth term a, of the arithmetic sequence whose 7th term is 2 and…

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Q: what is the 1st term of the arithmetic sequence if the 9th term is 84 and the 13th term is 44?

A: We have to find the first term of the arithmetic sequence if the 9th term is 84 and the 13th term is…

Q: Find the eighth term of the geometric sequence whose first term is -4 and whose common ratio is -2.

A: Known fact: The nth term of a geometric sequence is given by an=a·rn-1 where a is first term and r…

Q: Find the 7th term of the geometric sequence 2, -6, 18, ...

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Q: Find the 10th term of the geometric sequence. If your answer is a fraction, enter it like: 1/2, etc.…

A: I have given an answer in step 2.

Q: Find the 13th term of the geometric sequence 6, – 30, 150, ...

A: The first term is, a1 = 6  &, The common ratio is, r = - 5

Q: The first term of an arithmetic sequence is equal to 200 and the common difference is equal to -10.…

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Q: The 9th term of an arithmetic sequence is 19 and the 20th term is 20.3 What are the first three…

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Q: Find the 40th term of the arithmetic sequence withfirst term 5 and common difference 15.

A: Given first term = 5common difference =15 n=40th

Q: The 18th term of an arithmetic sequence is 134 and the common difference is 7. Find and simplify an…

A: Given that, 18th term of an arithmetic sequence is 134 and common difference is 7 Let a be the first…

Q: Find the 15 term of the arithmetic sequence 1.18, 1.26, 1.34, ... the 15h term is

A: topic - arithmetic sequence

Q: Find the 55th term of the arithmetic sequence 8, 24, 40, ...

A: We have to find the 55th term

Q: Find the 9th term of the geometric sequence 8, 32, 128, ...

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Q: Find the 7 term of the geometric sequence whose common ratio is and whose first term is 4. 00

A: A sequence is a function with domain being set of natural numbers and the range being the set of…

Q: Find the 22" term of the arithmetic sequence whose common difference is d=2 and whose first term is…

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Q: The fourth term of an arithmetic sequence is 11, and the sixth term is 17. Find the second term.

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Q: Find the nth term of the geometric sequence whose initial term is a1 = 8 and common ratio is 4. An…

A: The initial term is given as a1=8 and common ratio is 4. To find : the nth term of the geometric…

Q: Find the 7th term of the geometric sequence whose common ratio is 3/2and whose first term is 4

A: The question is , to determine the 7th term of a geometric sequence whose common ratio(r) is (…

Q: Determine the sum of the first five terms of the geometric sequence where a = 3 and r=2. ... The sum…

A: The formula to evaluate the sum of n terms of a geometric sequence is Sn=arn-1r-1, if r≠1, where a…

Q: The value of the first term in an arithmetic sequence is 8. The common difference is 5. a)…

A: Given that: Value of first term, a=8Common difference, d=5

Q: Find the first four terms of the arithmetic sequence whose first term is −1 and whose common…

A: Given that first term of arithmetic sequence is -1 and common difference is 9.

Q: Find the first term and the common difference of the arithmetic sequence whose 11th term is – 15 and…

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Q: Determine the sum of the first four terms of the geometric sequence where a = 3 and r= -1. The sum…

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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.