From the arithmetic sequence it is known that the number of the 5th and 7th terms is 34. The sum of the 9th and 14th terms is 56. Find S28

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 76th term of the following arithmetic sequence.  13, 17, 21, 25,

A: I have given an answer in step 2.

Q: Find the sum of the first eight terms of the arithmetic sequence in which the fourth term is 9 and…

A: a4=9  &  d=-5 Now consider, a4=9⇒a+3d=9⇒a+3-5=9⇒a=24

Q: Find the seventh term of the geometric sequence whose first term is 5 and whose common ratio is -3.

A: The give sequence is geometric sequence. First term is 5 and common ratio is -3.

Q: Find the 11th term of the following geometric sequence. 2,8, 32, 128, ...

A: This question can be solved using the formula of general term of geometric sequence.

Q: Find the 94th term of the arithmetic sequence 25, 31, 37, ...

A: Arithmetic Progression is sequence of numbers where any two consecutive number difference is same.…

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 first term and the common difference of the arithmetic sequence where the 7t" term is 12…

A: Given: The arithmetic sequence whose 7th term is 12 and the 13th term is 18. To Find: a. The first…

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: For a given arithmetic sequence, the 4 term, as, is equal to -2, and the 36" term, a36, is equal to…

A: Topic = Sequence

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: Find the 28th term of an arithmetic sequence where the fourth term is 33 and the tenth term is 15.…

A: Find the common difference, d:

Q: Find the 58" term of the following arithmetic sequence. 17, 22, 27, 32, ...

A: Given sequence, 17, 22, 27, 32, ......

Q: The 7th term of an arithmetic sequence is -37, and the 10th term is -121. Find a,d and the general…

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Q: If an arithmetic sequence has terms as = 20 and ag = 36, what is a15? 50 O 56 O 60 O 80

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Q: Find the 13th term of the geometric sequence whose 1st term is 100, with common ratio of 10

A: Given : 1st term is 100. Common ratio is 10

Q: The first term of an arithmetic sequence is -1 and the fifteenth term is 27. Find the sum of the…

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Q: Find the sixth term of the geometric sequence whose first two terms are 4 and 6.

A: There are many names if the set of numbers follows a specific pattern to write the terms. They are…

Q: Find the 70 term of the following arithmetic sequence. 5, 13, 21, 29,...

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Q: Find the 51st term of the arithmetic sequence –17, –25, –33, ...

A: we know that nth term of arithmetic sequence is given by Tn=a+n-1d where, a is first term and d is…

Q: Find the 5th term of the arithmetic sequence whose 3rd term is 35 and whose 10th term is 77.

A: Let the first term is = a and common difference = d So, n th term of arithmetic sequence is given by…

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

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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: If the nth term of a sequence is (-1)"+1, which terms are positive and which are negative? п

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Q: Find the 57 term of the following arithmetic sequence. 13, 20, 27, 34, ...

A: Given arithmetic sequence 13, 20, 27, 34, ......... We have to find 57th term.

Q: From the arithmetic sequence it is known that the number of the 5th and 7th terms is 34. The sum of…

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

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Q: Find the indicated term of the arithmetic sequence. 5 3' 1, - 1 ...; a25

A: First-term = a1 = -5/3

Q: If the third term of an arithmetic sequence is 4 and the seventeenth term is -66​, find eighth the…

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Q: Find the 22nd term of the arithmetic sequence whose common difference is d= -5 and whose first term…

A: We have to find 22nd term of the arithmetic sequence whose common difference is d=-5 and first term…

Q: Find the sum of the first 23 terms of the arithmetic sequence 4m – 3, –10, .

A: For the terms to be in an AP , the first term should be 4 and not 4m which is a mistake.

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: . 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: Find a possible formula for the general nth of the sequence that begins as follows. Please simplify…

A: Ans : 2 2*2=4 2*2*2=8 2*2*2*2=16 2*2*2*2*2=32 ................ .................. 2*2*2*........nth…

Q: Find the nth term of a sequence whose first several terms are given. 3 5 7 9 1, 4' 9' 16' 25' an

A: See attached file for a step by step explanation.

Q: The second term of an arithmetic sequence is 24 and the fifth term is 3. Find the common difference.

A: The second term of an arithmetic sequence is 24 and the fifth term is 3. Find the common difference.

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

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Q: Find the 13th term of the arithmetic sequence whose common difference is d=7 and whose first term is…

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Q: Find the 22 term of the arithmetic sequence whose common difference is d=4 and whose first term is…

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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: Find the 18th term of the arithmetic sequence 3,10, 17, 24, ....

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Q: The sum of the first eight terms of an arithmetic sequence {an} is 24; thesixth term is 0. Find a…

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

A: The given arithmetic sequence is 17,26,35,....... The first term of A.P. is 17. The common…

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

A: Topic - geometric progression

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: 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: Find the following: (a) Sum of the first 21 terms of the sequence: 5,9, 13, 17,...

A: Since you have asked multiple questions in a single request, we would be answering only the first…

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.