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

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

A: We use the nth term of an arithmetic progression to answer the given question.

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: What is arithmetic progression in simple words?

A: Arithmetic progression is a sequence of numbers such that the difference between any two consecutive…

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

A:

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 17th term is 3 times the 6 th term. If the 11 th term is 63, what…

A:

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

A:

Q: If the 5th term of a geometric progression is 224 and the 9th term is 3584, then find the 13th term…

A: a5=224⇒ar4=224a9=3584⇒ar8=3584a9a5=ar8ar4=3584224=16r4=16r=2ar4=224a16=224a=22416=14a13=ar12=14×212=…

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

A:

Q: Find the sum of the first 5 terms of the geometric progression if the third term is 144 and the…

A:

Q: 1. (a) Given that 2x, x + 4 and 2x - 7 are the fourth, fifth and sixth terms of a geometric…

A:

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

A:

Q: In an arithmetic progression, the sum of the first five terms is 30, and the third term is equalto…

A: We have given  Sum of the first five terns of an arithmetic progression = 30 S5 = 30 Sum of n terms…

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

A:

Q: Which of the following is the correct first four terms of the geometric progression with initial…

A: Introduction: Geometric Progression (GP) is a type of sequence in mathematics in which each…

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: is 28 and the 7th term is 448, then find the 9th term of this GP. Show all steps.

A: Introduction: A geometric progression is a sort of progression in which each term has a fixed ratio…

Q: "If the second term of a geometric progression is 6 and the fourth term is 54, how many terms must…

A:

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 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: 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: The first term of a geometric progression is 40 and the fourth term is 5. Find the sum to infinity…

A: We have to find sum of infinity of the geometric progression if first term of a progression is 40…

Q: 4. Find x so that x + 6, x + 12 and x + 15 are consecutive terms of a Geometric Progression. 5. Find…

A:

Q: 2) Find the 10th and 20th terms of the geometric progression with first term 3 and common ratio 2.

A:

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

A:

Q: The product of the first three terms of a geometric progression is 3375, and their sum is 65. Find…

A:

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

A: As per our guidelines we are supposed to asnwer only one asked question.So kindly repost other…

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: 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: What is the 8th term of geometric progression if the 4th term is 189 and the sixth term is 1701?

A: In geometric progression, terms are obtained by multiplying the previous term with the same number,…

Q: A student studying to be a veterinarian's assistant keeps track of a kitten's weight each week for a…

A: a) The weights are 0.6 , 0.88, 1.16 , 1.44 , 1.72 common difference between them is = 0.88-0.6= 1.16…

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

A:

Q: Find the 9th term of the harmonic progression 3,2,3/2

A:

Q: An arithmetic progression has first term 11 and fourth term 32. The sum of the first nine terms is?

A: Formula,   S(n) = (n/2) * [2a + (n-1)*d]

Q: The ratio of the 8th and 3rd term of a GP is 243. What is the common ratio of the progression?

A: Given, The ratio of the 8th and 3rd term of a GP is 243.

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

A:

Q: the first term and the second term of a progression are a and b respectively. what is the third term…

A: As we know that expression of the nth term of the Geometric progression is: an=arn-1 Where 'a' is…

Q: The sum of the first 17 terms of an arithmetic progression is 187. If the 17th term is -13, what is…

A:

Q: (b) The nth term of a geometric progression is given by T, Find the sum of first four terms.

A:

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

A:

Q: If 7, 9. 8 and 1, are added, respectively, to the four terms of a geometric progression; the…

A: Let the geometric progression is a, ar, ar2, ar3 Then add 7, 9, 8, 1 in the above terms…

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

A:

Q: P4.3 If the 4th term of a geometric progression is 72 and the 9th term is 2304, then find the 12th…

A: We will use basic knowledge of GP and arithmetic to answer this question.

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

Q: the sum of the first n terms of an arithmetic progression is given by Sn=3n2 - n i) common…

A:

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

A: