The product of the first term and the 6th term of an arithmetic sequence is -38. The sum of the 3rd term and the 4th term is 17. If the first term is positive, find the first term and the common difference of the sequence.

Q: Find the sum of the first 50 terms of the arithmetic sequence -5, -3, -1, 1, ..

A: You have posted multiple questions. As per the instruction, we will be answering only the first…

Q: alculate the next term in the geometric sequence that is calculated with a ratio of 24 if the…

A: Definition used -                   Geometric sequence -                          It is a sequence…

Q: If the third term of a geometric sequence is 12,500 and the sixth term is 800 find the first term…

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Q: The first term of an arithmetic sequence is equal to 6 and the common difference is equal to 3. Find…

A: The first term of the arithmetic sequence, a1 =6 he common difference,d= 3

Q: Find the eighth term of the arithmetic sequence whose first term is 4 and whose common difference is…

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Q: Write an equation for the nth term of the given arithmetic sequence. –5, –12, –19, –26, ...

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Q: Write the first four terms of a sequence with a first term of 13 and a common difference of 9.

A: Given that, first term is 13 and common difference is 9. It is known that, first four terms of an…

Q: Find the sum of the first 50 terms of the arithmetic sequence below. - 19, - 11, - 3, 5, ... The sum…

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

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Q: The 20th term of an arithmetic sequence is 96, and the common difference is 5. Find the nth term.

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Q: Find the sum of the first 50 terms of the arithmetic sequence: -10, -6, -2, 2, .....

A: Given: Given:The arithmetic sequence: -10,-6,-2,2...To determine:Sum of first 50 terms of the given…

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 sum of the first 50 terms of the arithmetic sequence: -15, -9, -3, 3, .....

A: Given: The Arithmetic sequence −15,−9,−3,3,... To find: The sum of the first 50 terms of given…

Q: Find the 8th term of the geometric sequence 7, -21, 63, …

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Q: Find the sum of the first 50 terms of the arithmetic sequence below. - 19, - 11, - 3, 5, . The sum…

A: Here we have arithmetic sequence, -19,-11,-3,5,....... Sum of the n terms arithmetic sequence Sn=n/2…

Q: The sum of two consecutive terms in the arithmetic sequence 1​, 4​, 7​, 10​, ... is 299​; find these…

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Q: Find the sum of the first nine terms of the geometric sequence:2, -6, 18, -54, . . . .

A: we have to find the sum of the first nine terms of the geometric sequence: 2, -6, 18, -54, . . . .

Q: formula

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Q: Find the 93rd term of the arithmetic sequence –11, -7, –3, ...

A: To find the 93rd term of the sequence

Q: Find the next 3 terms of the arithmetic sequence 1, 3,5, 7, ......

A: To find next three terms of arithmetic sequence: 1,3,5,7... Solution: given sequence is: 1,3,5,7...…

Q: Find the sum of the first 4 terms of a geometric sequence with a = 270 and r= The sum is 2/3

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Q: Find an and as for the geometric sequence. - 3, - 15, - 75, - 375, .

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Q: Find the tenth term of the sequence. 1,0, -3, -8, - 15, ... The tenth term is

A: Given series: 1, 0, -3, -8, -15

Q: The sum of the first n terms of a geometric sequence is 341. If 8 a1 = and a4 = , what is 3 the…

A: As per our company's guideline, we will solve only one question at a time. Please post another…

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 sum of the first 15 terms of the geometric sequence: 5, -15, 45, -135, . . . .

A: Given geometric sequence is 5,-15,45,-135,... First term of the sequence, a= 5 Common ratio of the…

Q: Write the equation for the nth term of the geometric sequence 64,-32,16,-8,........ an=

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Q: Give the first 4 terms of the geometric sequence with a = 10 and r = 4. Give your answers as reduced…

A: Given: The first term of the geometric sequence is a=110and the common ratio is r=4. To find: · a1·…

Q: Write the first five terms of the geometric sequence whose first term is 2, and whose common ratio…

A: Given problem:- Write the first five terms of the geometric sequence whose first term is 2, and…

Q: . Find the next 3 terms of the arithmetic sequence 2, 5,8, ......

A: To find the next 3 terms of the sequence: 2,5,8... Solution: Given sequence is: 2,5,8... Here we…

Q: If the common difference of an arithmetic sequence is 4 and a(6 ) = 15, find the first term of the…

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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: Suppose you have the sequence 4, 1, -2, -5,.. . Find the sum of the first 20 even terms.

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Q: Find the 24th term of the arithmetic sequence if the first term is 3 and common ratio is 2.

A: First term =  a1 = 3  Common ratio = r = 2  We have to find a24 .

Q: The 7th term of an arithmetic sequence is −41, and the common difference is −2. Find the first term.

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Q: Find the 9th term of the geometric sequence. 2, -6, 18, -54, ...

A: As per guidelines we can solve only one question at a time, So if you need more answers kindly…

Q: Find the next term of the sequence: 8, 5, 2, -1, -4,

A: Explanation: Here given that a sequence: 8, 5, 2, -1, -4, ...

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 10th term of the arithmetic sequence whose first term is 5000 and the common difference is…

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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: Find the sum of the first ten terms of the arithmetic sequence in which the first 3 and the…

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Q: Find the sum of the first 50 terms of the arithmetic sequence below. - 11. -7, -3, 1, ..

A: Sum of n-terms:            Sn= n22a+(n-1)d ; where a is the first term and d is the common…

Q: Find the sum of the first 50 terms of the arithmetic sequence below. - 13, - 7, - 1, 5, . The sum is

A: to find:- sum of the first 50 terms.

Q: The missing term of the arithmetic sequence, 31, [ ], 47

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Q: If the fifth term of a geometric sequence is 64/27 and the sixth term is 256/81 , find the sum of…

A: Let the G.P. is a, ar, ar2, ar3, . . .arn-1 Sum of first n terms is given by, Sn=a(rn-1)r-1, r>1…

Q: Find the 40th term of the arithmetic sequence with a, = 150 and a common difference of d= -4. 1. -6…

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Q: If the third term of an arithmetic sequence is I and the eighth term is -14" what is the sum of the…

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Q: Graph the first five terms of the arithmetic sequence that has an a1 value of 1 and a common…

A: The general form of sequence,  a1, a1+d, a1+2d,.... where, a1-first term, d-common difference. we…

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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