n of a geometric progression is -108 and sixth term The common ratio

Q: An auditorium has 80 seats in the first row and the number of seats increases according to an…

A: If a1 is first term of arithmetic progression and d is common difference then nth term of arithmetic…

Q: t the best answer for the question. Find the 40th term of the following arithmetic sequence: 16, 6,…

A: Given,            The arithmetic sequence is 16 , 6 , -4 , 14 .To find: The 40th term of the…

Q: In a Geometric Progression (G.P), the 7th term is 31,250 and the 4th term is 250. Find the: (a).…

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Q: A. Determine whether the sequences below form an Arithmetic progression. If they do, identify its…

A: As per guideline, we can answer first question. Thank you.

Q: The first and sixth term of the arithmetic progression is 2/3 and 22/3 respectively. Find the sum of…

A: Let's find 12th and 17th term sum of arithmetic sequence.

Q: Find the first term and the common difference of an arithmetic progression in which 1s=3x-y and…

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Q: The third and eighth term of an Arithmetic progression are 470 and 380 respectively. Find the first…

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Q: An arithmetic sequence j starts 20,16..... Explain how you would calculate the value of the 500th…

A: Formula of arithmetic sequence is: an = a1+(n-1)d  Where:  an= n th term of arithmetic sequence a1=…

Q: a) How many terms are there in the following Geometric Progression? 2, 4, 8, ... 1024.

A: As per company guideline we can solve one question at a time so i am solving first question. please…

Q: Find the sum of the first 11 terms in a geometric progression 1,-2,4,-8, .... А. 683 В. — 341 C. 768…

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Q: Given an arithmetic progression (A.P.): 5, 12, 19, ..., 124 (a) Find the first term a and the common…

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Q: Given the arithmetic sequence: -16, -22, -28, -34, .. A) Find the formula for the nth term, an B)…

A: A detailed solution is given below

Q: Given the geometric progression Find the sum of the first 9 terms of the sequence. 7, 35, ...) 25 5…

A: Given GP is 725, 75, 7, 35, ...

Q: Find the indicated term of a geometric sequence. a2 = -6 and r= 1/2 . Find a7

A: We have to find 7th term

Q: (a) The first 3 terms of an arithmetic progression are ?, 5?, 7? − 4. Find (i) the value of ?,…

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Q: Given the parameters of an infinite geometric progression, find the sum of its terms. 2 a = 20, r= -…

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Q: In geometric progression if the first term is 2 and 6th term is 6250, then find the common rat

A: We have to find

Q: Write an equation for the nth term of the given arithmetic

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Q: The sum of three numbers in a geometric progression is 14. If the first two terms are each increased…

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Q: a) The third term of a geometric progression is -108 and sixth term is 32. Find: i) ii) The common…

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Q: n a geometric progression, the third term exceeds the first term by 9 and the sum of the second term…

A: Topic = Series

Q: 5. Find the indicated term in each geometric progression. 2.5 a. 3, 6, 12, ... 8th term b. 4,-8, 16,…

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Q: An arithmetic progression has first term In 2 and common difference In 4. The sum of the first 4…

A: Solve for sum of 4 terms

Q: Find the 55th term of the arithmetic sequence 2, -18, -38

A: The sequence is 2, -18, -38, ... a1=2 a2=-18 a3=-38 We have to find a55.

Q: 5. Find the 10th term of the arithmetic progression 1, 3.5, 6, 8.5,...

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Q: d) What are the extremes of the progression? e) What are the means of the progression?

A: The first and last terms of the sequence are called arithmetic extremes.The terms in between are…

Q: b) The 6th term of an arithmetic progression is 17 and the 13th term is 38. Determine: 1) the common…

A: The nth term of airthmatic progression :→Tn=a+n-1d→1    a=first term…

Q: The second term of a geometric progression is 2 3 and the fourth term is 1 54 . If all the terms are…

A: We know that a geometric progression is given as: a+ar+ar2+ar3+ar4... where 'a' is the first term…

Q: Find the sum of the first 11 terms in a geometric progression 1, –2, 4, –8, ... .. A. 683 B. -341 C.…

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Q: b) In an Arithmetic Progression the 8th term plus the 4th term equals the 13thterm. If the 18th term…

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Q: A geometric progression has fårst term 16 and sum to infinity 40. The common ratio of the…

A: Sum of infinite geometric series, Sn=a/(1-r) Here, a is first term and r is common ratio. Given…

Q: Determine the difference of an arithmetic progression an​, if a5​=18 and a2​=9

A: Determine the difference of an arithmetic progression an​, if a5​=18 and a2​=9

Q: 1 1-1 ? What is the value of x in the geometric sequence{x,- 2'8'32

A: To find the value of x.

Q: If (4/5) , a,2 are three consecutive terms of an arithemetic progression then find the value of a.

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Q: 1. In a Geometric Progression (G.P), the 7th term is 31,250 and the 4th term is 250. Find the: (a).…

A: 7th term, (a7) = 31,250 4th term, (a4) = 250 (a) 12th term, (a12) = ? (b) Sum of the first 12 terms,…

Q: Find the sum of the first 28 terms in an arithmetic progression 1,6, 11, 16, ... . A. 2059 B. 1918…

A: Given: 1,6,11,16.... n=28,   common difference d=> 6-1 =5 first term a=1

Q: Find the 57th term of an arithmetic progression when the 1st term is -18 and the common difference…

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Q: (b) In an arithmetic progression, x + 2x + 3x + ... + 100 x is a positive integer which is a factor…

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Q: The nth term of an arithmetic sequence is given. an =- (n - 1) (a) Find the first five terms of the…

A: Arithmetic sequence  { a, a+d, a+2d, a+3d, ............}

Q: a) Write an equation for the nth term of the arithmetic sequence whose seventh term is 21 and has a…

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Q: 16.Given that (x - 1), (x+1), (x+ 7) are consecutive terms of a geometric progression. then the…

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Q: ["u pus C=P Op2-13 an=19 +

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Q: Given the arithmetic sequence: -16, -22, -28, -34,.. A) Find the formula for the nth term, an B)…

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Q: 3. The sum of three numbers in geometric progression is 52. If 8 is added to the middle number, the…

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

Q: A6. The sum of the first, third and seventh terms of an arithmetic progression is 25. If the…

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Q: Determine x so that (4x), (5x+4), (3x^2 -1) will be an arithmetic progression. Show complete…

A: We know that in an arithmetic progression the common difference between two consecutive terms is the…

Q: It is given 3, 12, x are three consecutive terms of geometric progression. Find the value of x.

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Q: 3. Determine x so that, x, 2x+7, 10x-7 will be a geometric progression. Note: There are two values…

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

Q: In a Geometric Progression given, find the sum of the first term and the common ratio: an = -96, n…

A: The nth term is given by an=arn-1. The sum of geometric progression is given by Sn=a1-rn1-r.

Q: 11. In a geometric progression where the 3rd term is 4 and the 5th term is 100: (a) Show that the…

A: Topic = Geometric progression