Solve the following 1. Find the 5th term of an arithmetic sequence whose 3rd term is 35 and whose 10th term is 77. 2. Suppose that the fourth term of a geometric sequence is SAC PGS and the 6h term is 8. Fd the first term and the common ratio.

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: What value, to 2 decimal places, is the 7a term of the geometric sequence that has '2 =15 and 10 =…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the 20"" term of the arithmetic sequence whose common difference is d= 5 and whose first term…

A: The formula to find the nth term in arithmetic sequence is given below: an=a1+n-1d where, a1 is the…

Q: Find the sum to infinity of the geometric sequence. 1/3, 1/9, 1/27, 1/81, …

A: Given series is 13,19,127,181From here a1=13 and a2=19We know that r=a2a1=1913=13

Q: What is the formula for the arithmetic sequence if the sum of the same sequence is given by sn 2n +…

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Q: If the 5th term in a geometric sequence is 25 and the 7th term is 16, what is the common ratio of…

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Q: Suppose you save $1 the first day of a month,$2 the second day, $4 the third day, and so on. That…

A: Given- Suppose we save $1 the first day of a month,$2 the second day, $4 the third day, and so on.…

Q: Find the 11 term of the following geometric sequence. 3, 6, 12, 24, ...

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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: is The common ratio for the geometric sequence %.4. 2. 1. O A) -2 O B) O C) 2 O D) -

A: The given geometric sequence is                                                     8 , 4 , 2 , 1 ,…

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 first term of the geometric sequence from the given information. Express the term as an…

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Q: Using the expressions a1 and r, what is a general explicit rule for determining an, the nth term of…

A: Please check further steps for the solution.

Q: 2. If the 7th term of a geometric sequence is 448 and the 17th term is 458752, what are the values…

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Q: D. Solve the following problems. 1. In the arithmetic sequence 1, 5, 9, 13, ..., which term is 209?…

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Q: Find the missing terms of the geometric sequence given 1, -2, .., -32 and that -32 is the 6th term…

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Q: Given the explicit formula for a sequence, find the first five terms and the 52nd term. 1) а — 41-…

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Q: (c) The sum of the first 12 terms of a geometric sequence is 6144. If the common ratio is 2, find…

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Q: 2. The first three terms of either an arithmetic or geometric sequence are given by 6, a, 24. Which…

A: Given,         The first three terms of either an arithmetic or geometric sequence are…

Q: Find the nth term of the geometric sequence whose initial term is a1 9.5 and common ratio is 10. %3D…

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Q: If the 3rd term of an arithmetic sequence is 13 and the 9th term is 37, what is the common…

A: nth term of arithmetic sequence is goven by,         an = a1 + (n - 1)d      where a1 is first term…

Q: .Find the first four terms and the 100th term of the sequence whose nth term is given. an =2n−4

A: To find the first 4 terms we will plug n=1,2,3,4 respectively

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 sum of the first 3 terms in the geometric sequence with this first term and common ratio: a…

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Q: is equal to 240, and the 5" term, ac, is equal to 36. a73 term, For a given arithmetic sequence, the…

A: A sequence is funfction  from the set of natural numbers to the set of real numbers. A sequennce can…

Q: Calculate the next term in the geometric sequence that is calculated with a ratio of 19 if the…

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Q: , 256 Find the missing terms from the following geometric sequence: 4,

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Q: Consider the following sequence 4/7, 9/14, 5/7, 11/14, ____, if arithmetic, give d. and supply…

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Q: Find the twelfth terms of the sequence described by the explicit formula f(n) = 7 - 2( n-1) %3D…

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Q: Insert the indicated number of arithmetic means between the given first and last terms of the…

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Q: For an arithmetic sequence, a17 = 2. If the common difference is 5, find: aj = the sum of the first…

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Q: If the first term of a geometric sequence is 0.9 and its ratio is 0.2, what is the sum of the first…

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Q: The sum of the first three terms of an arithmetic sequence is 45, and its 5th term is 24. What is…

A: We can find the 8th term of the GP as below

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: Given that the first term of an arithmetic sequence is 50 and the common difference is -5, what is…

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Q: Write the first five terms of the geometric sequence whose first term is 6, and whose common ratio…

A: For the given geometric sequence, we have the first term is 6 and the common ratio is 3 We have to…

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: Use the following information to answer the questions. The 6th term in the arithmetic sequence is 35…

A: It is given that, the 6th  term is a6=35 and 9th term is a9=50

Q: Find the missing term of the geometric sequence. 1 ,16 4,

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Q: 3. Find the 23Td term of the arithmetic sequence whose common difference is d = 4 and whose first…

A: Find the 23rd term of the arithmetic sequence

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: 1. Find S15 for the arithmetic sequence {4, 10, 16, ... }

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the 7 term of the geometric sequence whose common ratio is and whose first term is 4. 00

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

Q: The first term a, of a geometric sequence is 10 and the common ratio r is 5, find the sum of first…

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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: 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: Suppose a geometric sequence has a1 = Give your answers to the following rounded to the nearest…

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Q: Consider the following sequence. 54, 18, 6, 2, ... State the general expression for the nth term of…

A: Find out common ratio of given expression,d= 1854,618, 26=13Therefore ,Given expression is geometric…

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.