Answered: n a geometric progression, the third…

n a geometric progression, the third term exceeds the first term by 9 and the sum of the second term and the third term is 18. Find the first term and common ratio.

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter0: A Review Of Basic Algebra

Section0.1: Sets Of Real Numbers

Problem 36E: Determine whether the decimal form of each fraction terminates or repeats. 38

See similar textbooks

Related questions

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: 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: The 4th term of a geometric progression is 2/3 and the seventh is 16/81.Find the geometric series

Q: In an arithmetic sequence, the first term, a1, is equal to 9, and the third term, a3, is equal to…

Q: Write an equation for the nth term of the geometric sequence: 18, -12, 8, 16 32 3¹9

A: Given a geometric sequence.

Q: There are 7 terms in a geometric progression such that the first term is 4 while the fourth term is…

A: Given, There are 7 terms in a geometric progression First-term of geometric progression = a= 4…

Q: b. Find the first five terms of the Geometric progression whose first term is 2 and fourth terms is…

A: As a g.p. is always of the form a,ar,ar2,ar3,... Here a is the first term and r is the common ratio,…

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

Q: The second term of an infinite geometric progression (|q|<1) is 21 and the sum of the progression…

A: Let the first term= a and common ratio=r Given the second term= 21 So, ar=21

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

A: Sum of first n terms = ∑n=1nun=n22a+n-1d where, a=first term, d=common difference

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: Given the first three terms of an arithmetic progression as 2x, x + 4 and 2x – 6 respectively. Find…

A: Hi there, we can answer only one question at a time and you was not specify. so, I have answered…

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

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

Q: The 10th term of an arithmetic progression is 4 and the sum of the first 7 terms is -28. Find the…

A: General formula of nth term of arithmetic progression is an=a+n-1d. 10th term is 4, that is a10=4…

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: An arithmetic progression has 3 as its ﬁrst term. Also, the sum of the ﬁrst 8 terms is twice the sum…

A: For an arithmetic progression, the difference between two consecutive terms is a constant. An…

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

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

Q: If 4, x, y form an arithmetic progression and x, y, 18 form a geometric progression, what is the…

A: Three numbers a,b,c are A.P. then the difference between the two consecutive numbers remains…

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

A: We have to find

Q: In a geometric progression, the sum of the first term and the third term is 10 while the difference…

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

Q: Let an be an arithmetic progression, for which a2=5 and a1=−11. Find the difference of the…

A: The objective is to find the difference of the progression.

Q: given that 3 + x, 6x and 3x2 + 7 are three consecutive terms of an arithmetic progression. Find the…

A: In This question we are given that the terms are consecutive terms are terms of airthmetic…

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

Q: The sum of the terms of an infinite geometric progression is 35 and the common ratio What is the…

A: S∞=35r=25a=?

Q: For the arithmetic progression: 5+9+13+…… . Find the sum of the first 40 terms.

A: For the arithmetic progression: 5+9+13+…… n = 40 we have to find the sum of the first 40 terms, S40…

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: What is the common ratio of the geometric progression 3, -6, 12, -24, 48...?

Q: Find the sum of the infinite geometric progression 6, -2, 2/3 …

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

Q: {an} is an arithmetic progression with an non-zero common difference.the sum of all terms between…

A: Finding nth term of A. P progression whose value is 7

Q: An arithmetic progression has the first term of 32, the 5th term of 22 and the last term of −28.…

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: In an arithmetic progression the 17th term is 3 times the 6t term. If the 11th term is 63, what us…

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

Q: In a geometric progression the first term is 153 and the sixth term is 17/27 . The sum of the first…

A: we have to find the sum of the first four term

Q: In a certain arithmetic progression the 20th term is 32 and the common difference is 3 find the…

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

Q: In a geometric sequence, the first term is 3 and the common ratio is 2. What is the sum of the first…

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: Which term in this sequence would first exceed or equal 32,000? What is the sum from the 1st term…

A: Given GP - 3100, 4247 ......4247 is the term which will exceed the 3200.Hence, only one term 4247…

Q: (a) The 1st term of a geometric progression is 4 and the 6th term is 128. Determine the 8th and 11th…

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…

Q: A geometric progression has 6 terms. The first term is 192 and the common ratio is 1.5. An…

A: Solution and Explanation is given below....

Q: The first term of a geometric progression is 12 and the fifth term is 55. Determine the 8th and the…

A: Given information: The first term of a geometric progression is 12 and the fifth term is 55. Concept…

Q: 2. There are 7 terms in a geometric progression such that the first term is 4 while the fourth term…

Question

In a geometric progression, the third term exceeds the first term by 9 and the sum of the second term and the third term is 18. Find the first term and common ratio.

Expert Solution