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

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: Given the arithmetic sequence 6,-1,-8,-15,-22. Find the 25 term

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Q: If (a-1) , (a+3) and (a+12) are consecutive terms in a geometric sequence find the first term and…

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Q: 15. Using the arithmetic progression in number 14, what is the 8th term of the sequence? a. 37 b. 38…

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Q: Find the sum of the first 9 terms of a geometric progression The sequence is: 4, 8, 16, 32...

A: Given that  The sequence is given  To find the sum of the first 9 terms of the geometric progress

Q: What is the 12th term of the geometric sequence 7/8, 7/4, 7/2...?

A: This question is based on Geometric progression.

Q: In a sequence of numbers, a, = 0, a,= 6, a̟ = 12, a, = 18, and a, = 24. Based on this information,…

A: Given: a3=0,  a4=6,  a5=12,  a6=18  and  a7=24

Q: Find the common difference and the sum of the first 5 terms of the arithmetic sequence. an = 5n – 2

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

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Q: Find the 6th term of a geometric sequence is the first term is 2 and the common ratio is 3 a6=

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Q: a The sum of the first 10 terms of an arithmetic progression in which the first term 5. is 8 is 620.…

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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: 3. Find x so that x + 6, x + 12 and x + 15 are consecutive terms of a Geometric Progression.

A: We want to find value of x

Q: A Geometric Progression has the following terms: 5000, 5550, ... . Which term in this sequence would…

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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: *1. Given that x-3, 2x + 1 and 7x - 2 are the first three consecutive terms of an arithmetic…

A: As per bartleby guidelines, for more than one question only 1st one is to be answered. Please upload…

Q: In an arithmetic progression of n terms (n is even), the two middle terms are p-q.p+q respectively.…

A: The formula for the sum of squares of an arithmetic progression is: sum=2n-1d26+ad(n-1)+a2×n where,…

Q: The 15th term of an arithmetic sequence is 21 and the common difference is -4. (a) Find the first…

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Q: 4. Find the number of terms in the geometric progression 6, 12, 24, 1536 ....

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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: 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: In an arithmetic progression the first term is 5 and the common difference is 3. The nth term of the…

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Q: For which term does the geometic Sequence an = -36(?)^:/first have non-integer ralue a

A: Given, an=-3623n-1

Q: Consider the sequence 8, 5, 2,-1.........-52 a) is the sequence an arithmetic progression? Why or…

A: Arithmetic Progression: A sequence is said to be an arithmetic progression, if the difference…

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: 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: Find the sum of the first 10 terms of the geometric sequence: 7, -14, 28, -56, 112

A: On solving this we will get

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: An arithmetic sequence k starts 4, 13, .... Explain how you would calculate the value of the 5,000th…

A: We can find the 5000th term of the given arithmetic sequence as below.

Q: 7. Solve. (a) Find a recursive formula for the sequence 5, 11, 18, 26,35,45,... (b) Find a closed…

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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: Consider the arithmetic sequence: 2, -4, -10, -16, ....... Solve, Write a formula for the general…

A: Consider the arithmetic sequence: 2, -4, -10, -16, ....... Solve, Write a formula for the general…

Q: If the 10th term of a geometric sequence is 243 times larger than the 5th term, then what is the…

A: We have to find

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: Write a recursive formula for the sequence 8, 10, 12, 14, 16, .. Then find the next term.

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

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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: A machine is driving a 4.5 foot post into the ground. The first hit drives the post 16 inches into…

A: Solution is as below

Q: a) Find the fifth term of the sequence

A: Part a,Given,           The sequence is 169,3115,4621,6127,.....To find : Find the fifth term of the…

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

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.