In Problems 31–38, find the first term and the common difference of the arithmetic sequence described. Give a recursive formula for thesequence. Find a formula for the nth term.31. 8th term is 8; 20th term is 44 32. 4th term is 3; 20th term is 35 33. 9th term is - 5; 15th term is 31 34. 8th term is 4; 18th term is - 96 35. 15th term is 0; 40th term is - 50 36. 5th term is - 2; 13th term is 30 37. 14th term is - 1; 18th term is - 9 38. 12th term is 4; 18th term is 28

Q: 4. Find the 52nd term of the arithmetic sequence: 3, 7, 11, 15, ...

A: To find The 52nd term in arithmetic sequence 3,7,11,15,....

Q: 1. Write down the first five terms of the sequence given by: an = (-1)^n+1 / n 2. Find the common…

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Q: 4. What is the fourth term in the sequence defined as: a1 126 and an 3(an-1) - 5 %3D %3D

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

Q: 1. Find the 10th term of the arithmetic sequence in which aj = 12 andd = 9.1. O a10 = 103.9 O a10 =…

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Q: 3. State the next two terms of this sequence: 1, 3, 6, 10, 15 ...

A: We have the sequence 1 , 3 , 6 , 10 , 15 , ....... We can see the difference between each…

Q: Must the fifth term of the sequence 2 , 4 , 6 , . . . be 10 ? Explain thoroughly.

A: The nth term of a sequence with 1st term a1 and common difference d is given by,

Q: = 238 and the 93rd term is 539. S

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Q: 2. The difference between any term after the first and its predecessor in an arithmetic sequence is…

A: It is known that for an arithmetic sequence, difference between two consecutive term is called…

Q: Which term of the arithmetic sequence 1, 9, 17, 25, It is the th term. Calculator ... is 297?

A: Given that  First term = a1 = 1 , Second term = a2 = 9 nth term = an = 297

Q: 4. Find the value of x so that x+7, -x-1, x+ 13,.. shall form a geometric sequence.

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Q: 1. Find the common difference in the sequence 3, 13/4, 7/2, 15/4.....  a.  4 b. 5/2 c. 3/4 d. 1/4

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

Q: 2. F.IF.6 Write an equation for the nth term of the sequence 8, 32, 128, 512. an = 8(4)"-1 an =…

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Q: 7. a. Find the general term for the geometric sequence -1, -2, -4, -8, . ... b. Find the 12th term…

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Q: 14) Find the nth term formula of an arithmetic sequence if the eighth term is 8 and the the 20th…

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Q: Write the first five terms of the sequence defined by the recursive formula: an= -3an-1 +5 If an =…

A: given an=-3an-1+5if an=2

Q: If the 4th term and the 14th term of an arithmetic sequence are 13 and 73 respectively, the sum of…

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Q: This is the sequence: 1, 2, 4, 6, 16, 12, 64, 24, 36, . . . Develop an equation that can used to…

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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.