Find the sum of the first 100 terms of an arithmetic sequence with 15th term of 86 and first term of 2. Write the first six terms of the arithmetic sequence with the given property. a = 3; 5th term is 19. a  =    a2  =    a3  =    a4  =    a5  =    a6  =

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 3rd and 4th terms of an arithmetic sequence are 13 and 18, respectively. What is the 50th term…

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Q: Which term of the arithmetic sequence 1, 6, 11, 16, . .is 241? It is the th term.

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Q: 4. Find the common difference of the arithmetic sequence for which the first term is -12 and 23rd…

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

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Q: Write a rule for the n th term of the geometric sequence for which a, = 64 and a,=1.

A: Solving by geometric sequence we have

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: The 12th term of an Arithmetic sequence is 240 while the 7th term is 196. Find the 10th term of the…

A: Consider the given 12th term of an Arithmetic sequence 240 and  term 7th of an Arithmetic sequence…

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

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Q: What are the next three terms of the geometric sequence 3, 12, 48, . . . ?

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Q: Find the sum of the first 70 terms of the arithmetic sequence with the first term 6 and common…

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Q: 4. The total amount of water poured to a container is 1350 liters. During the first day the amount…

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Q: Find the sum of the first 37 terms of the arithmetic sequence. 29, 36, 43, 50,

A: Given,          The sum of the first 37 terms of the arthmetic sequence             29 , 36 , 43 ,…

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 sum of the first 16 terms of the geometric sequence 1/9, 1/3/ 1.....

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

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Q: Here are the first two terms of a geometric sequence: 2, 4. What are the next three terms?

A: First-term, a=2 Common ratio, r = 4/2 = 2

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: The third term of a sequence is 64 while the seventh term is 4. Determine the sum of the first ten…

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Q: What is the 8th term of the geometric sequence 48, 24, 12, 6, 3, ...

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Q: the 10th term of an arithmetic sequence is -4 and the 16th term is 47. what is the 11th term

A: Given  10th term of arithmetic sequence is -4 and 16th term of arithmetic sequence is 47.

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: Suppose I have a sequence; 3, 6, 9, 12,... Find the sum of the 6th, 12th, 18th, and 66th term please

A: SOLUTION-

Q: Find the specified term of the geometric sequence. 7th term: 5, 30, 180, ... a,

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Q: Find the fifth term of the geometric sequence from the given information. Express the term as an…

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Q: The 5th term of an arithmetic sequence is 47 and the 17th term is 152. Find the first term and…

A: general term of arithmetic sequence  an=a+(n-1)d .........(1)where a=first term and     d=common…

Q: The sixth term of an arithmetic sequence is 28 and the ninth term is 36.Calculate the sum of the…

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Q: Which term of the arithmetic sequence 1, 6, 11, 16, ... is 101? It is the th term.

A: The objective is to find which term of the arithmetic sequence is 101.

Q: Determine the sum of the geometric sequence if it exist. If the sum does not exist, write DNE. 6, 2,…

A: Explanation of the answer is as follows

Q: Find the number of terms of the arithmetic sequence. 11, 14, 17, 20, 23, … , 122

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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: 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 13th term of the geometric sequence 7, 21,63, ...

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Q: Find the indicated term of the sequence by finding the explicit formula for the nth term. 9. 100th…

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Q: An arithmetic sequence has the 5th term equal to -64 and the 14th term equal to -1. Calculate the…

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Q: Find the sum of the first 90 terms of the arithmetic sequence with first term 10 and common…

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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 sum of the first 91 terms of the arithmetic sequence: 6,−4,−14,−24,−34,

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

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Q: 1. Find the value of the 11th term in the sequence 2, 6, 18, 54, ...

A: Topic = Sequence

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

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Q: 1. Find the 25th term of the arithmetic sequence -7,-4, -1, 2, ..

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Q: If the 100th term of an arithmetic sequence is 600, and its common difference is 6, then its first…

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Q: 3. -5, 15, -45,... n = 7

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Q: Write the first 5 terms of Geometric sequence whose nth term is an = 6(1/2)n-

A: We will solve the problem

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.