In an arithmetic progression the first term is 5 and the common difference is 3. The nth term of the progression is denoted by un. Find the value of N such that E2N 'n=NUn = 2750

Q: The seventh term of an arithmetic progression is 11 and the sixteenth term is 29. Find: the common…

A: Given seventh term of A.P=11 Sixteenth term of A.P=29 We know that nth term of A.P (an)= a+(n-1)d…

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

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Q: The sum of the terms of an infinite geometric progression is 35 and the common ratio 1S What is the…

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Q: Find the sum of the first 28 terms in an arithmetic progression 1, 6, 11, 16,..

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Q: (a) The first term of a particular arithmetic progression is a natural Number, and the last term is…

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Q: The second term of a geometric sequence is 6 and the fourth term is 96. Find the possible values of…

A: Since you have posted multiple questions and we can answer one question. So, answered the first…

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: The first term of a geometric sequence is 4, and the second term is 1. Find the 5th term. I…

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Q: The sum of the first n terms of an arithmetic progression is given sn = 7n2 - 8n. Find  first term…

A: We have the sum of first n terms is sn=7n2-8n Now, the first term is a1 and this is equal to the sum…

Q: Use the formula for the sum of the first n terms of a geometric sequence to solve:A pendulum swings…

A: As per the question,                    We are given the geometric sequence which the pendulum…

Q: 3. Find the 94th term of the arithmetic progression whose fourth term is 3/3 and whose 47th term is…

A: Given, a4=33a47=463

Q: (a) The 1st term of an arithmetic progression is 17 and the 6th term is 62. Determine the 8th and…

A: We have to answer questions on Arithmetic progression.

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 12 and 384 are the second and seventh term, respectively, of a geometric progression, find the…

A: Since, we have been given that the second and seventh term of a geometric progression are 12 and 384…

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

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Q: Consider the following arithmetic progression 2, 7, 12, 17, 22, 27... Find the 20th term

A: The given Arithmetic Progression is 2, 7, 12, 17, 22, 27, ... Here, the first term is a=2. The…

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

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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 4 term of a geometric progression is 2 and the seventh is 16 Find the geometric series 18 |

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

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

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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: A machine is driving a 5.5 foot post into the ground. The first hit drives the post 18 inches into…

A: If machine run forever, post will driven into the ground by 48inch.

Q: The sixth term of a geometric sequence is 1215 and the third term is 45. Find the first term and the…

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Q: Find the missing term of the geometric sequence. It could be its geometric mean or its opposite. 13.…

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Q: The first term of a geometric sequence is 12, and the third term is 16/3. Find the fifth term.…

A: Given that first term of the geometric sequence is 12. Third term of the third term is 16/3. We have…

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

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Q: The first term of an infinite geometric progression is 5 and the sum of its terms is 20. What is the…

A: Given that  First term of G.P is  a=5 The sum of infinite terms is  S=20 We have to find common…

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

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Q: If the 3rd term of a geometric progression is 28 and the 7th term is 448, then find the 9th term of…

A: Use the formula for the nth term of a Geometric Progression (GP).

Q: 2. Find the first three terms of geometric Progression whose sum is 342 and product is 74,088 Let…

A: Solution : First three terms of GP are, ar,a,ar Sum of first three terms of GP=342 ar+a+ar=342  …(1)…

Q: The 7th term of an arithmetic sequence is −41, and the common difference is −2. Find the first term.

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

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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: 1) In an AP the 9th Term is 73 and the 4th Term is 43. What is the sum of the first twenty terms?…

A: Formula: The nth term in the arithmetic progression is: an=a1+n-1d where a1 is the first term and d…

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

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Q: The fourth term of an arithmetic sequence is 14, and the 20th term is 110. Find the common…

A: As we know that the nth term of the arithmetic sequence is: tn=a+(n-1)d Where 'a' is the first term…

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: The sum of the first eight terms of an arithmetic sequence {an} is 24; the sixth term is 0. Find a…

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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: If the 3rd term of a geometric progression is 52 and the 7th term is 832, then find the 16th term of…

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Q: The fourth term of an arithmetic sequence is 11, and the sixth term is 17. Find the second term.

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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…

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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