Find the first term and the common difference of the arithmetic sequence whose 9th term is – 28 and 13th term is – 48. - First term is Common difference is

Q: Find the 100th term of the arithmetic sequence with first term 1 and ninth term 17.

A: It is given that the first term of the arithmetic sequence is 1 and the ninth term is 17.

Q: Find the first 6 terms of the sequence with first term8 and nth term an = an-1 + 3.

A: Arithmetic Sequence :                                          An arithmetic sequence is a…

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

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Q: Find the 83rd term of the arithmetic sequence with first term 9 and common difference  − 1/2

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Q: Find the first term and the common difference of the arithmetic sequence whose 8th term is 1 and…

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Q: Find the 10th term of the geometric sequence 10,-50, 250,…

A: First find the common ratio r of the geometric sequence than with the help of nth term express find…

Q: If the 100th term of an arithmetic sequence is 893, and its common difference is 9, then its first…

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Q: Find the 97th term of the arithmetic sequence 17, 26, 35, ...17,26,35,...

A: The given arithmetic sequence is  17,  26,  35............. The first term a = 17 Difference d =…

Q: Find the tenth term and the sum of the first ten terms of the arithmetic sequence whose first two…

A: Let the first term is a1=4+3 and the second term is a2=3. The common difference is,…

Q: The eight term of an arithmetic sequence is 216 and the seventeenth term is 369. Find the following…

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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 73rd term of the arithmetic sequence –28, -41, – 54, ...

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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: Calculate the 10th term for this arithmetic sequence: 4, 1, -2, -5, ..

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Q: Find the sum of the first 34 terms of the arithmetic sequence with first term 3 and 34th term 69.

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Q: Find the 74th term of the arithmetic sequence –8, 0, 8, ...

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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 53rd term of the arithmetic sequence 27, 11, -5, ...27,11,−5,...

A: The given arithmetic sequence is  27, 11, -5, ...............  The first term a = 27 difference d =…

Q: Find the sum of the first 15 terms of the arithmetic sequence: 3, 6, 9, 12, .........

A: Given:A.P  3,6,9,12,.....a1=3,  a2=6d=a2-a1d=6-3d=3, a=3, n=15Sn=n2[2a+(n-1)d]

Q: Find the sum of the first 20 terms of the arithmetic sequence:4, 10, 16, 22, . . . .

A: Given arithmetic sequence is: 4, 10, 16, 22, ..... The first term = a = 4 The common difference:…

Q: Find the 100th term of the arithmetic sequence with first term 7 and eighth term 35

A: tn=a + (n-1)d---- Formula a = first term  d = Common difference tn =nth term

Q: Find a12 and the general term of the following geometric sequence. {2, - 8, 32, - 128, 512, ...} a12…

A: Given squance  2, -8, 32 , -128, 512, ......

Q: Find the sum of the first 36 terms of the arithmetic sequence with first term 5 and 36th term 110.

A: Given first and 36th term is 5 and 110.

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: Determine the sum of the first 8 terms of the geometric sequence. 3,-3, 3,

A: Given a geometric sequence.

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 nth term of a sequence whose first several terms are given. 4, -16, 64, -256, ... an II

A: nth term of sequence.

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: 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: Find the 16th term of an arithmetic sequence if the first term is 26 and the common difference is .…

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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 66th term of the arithmetic sequence 25, 10, -5, ...

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Q: If the 100th term of an arithmetic sequence is 213, and it's common difference 2, then what is the…

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Q: Find the general term of an arithmetic sequence where the fourteenth term is 35 and the eighth term…

A: The fourtheenth term is 35The eighth term is 41.To find the general term of an arithmetic sequence.

Q: Determine the first five terms of the sequence whose general term is given. {an} = {(- 1)n * 1,²}

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

A: We have to find the 55th term

Q: Calculate the 35th term for this arithmetic sequence: 5, 9, 13, 17,..

A: Given, the arithmetic sequence is              5, 9, 13, 17, . . .

Q: The twelfth term of the arithmetic sequence is 118, and the eighth term is 146. Find first term and…

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Q: Find the first term and the common difference of the arithmetic sequence whose 7th term is 9 and…

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Q: Find the first term and the common difference of the arithmetic sequence whose 9th term is – 17 and…

A: The general form of arithmetic sequence is a,a+d,a+2d,......,Where a  is the first term of the…

Q: term in a geometric sequence whose 3rd term is 5/4 and 6th term is 10?

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Q: Find the nth term of a sequence whose first several terms are given. -2, 5, 12, 19, ... an

A: Solve arthimetic progress nth term formula

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

A: The first term of the arithmetic sequence is a=0. The common difference is d=12. The number of term…

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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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.