27.The first and 25th term of the sequence an = (-1)"-1(n – 1) are both positive. Ο Α. True О в. Falsе

Q: What is the 5th term of the sequence defined by the formula Tn=2n2−5n+1.

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Q: Suppose that n > 5 and that the numbers t1, t2, t3, . . . , tn−2, tn−1, tn form an arithmetic…

A: We need to determine the value of n in the given arithmetic sequence.

Q: If the 8th term of an arithmetic series 39 and the 20th term is -33. What is the common difference?

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Q: The sum of the first 20 terms of the sequence O.7,0.77, 0.777,.. is

A: We have to find the sum of first 20 terms of the sequence: 0.7, 0.77, 0.777, ..... Assuming the…

Q: Find the sum of the first 5 term of geometric sequence where first term is 3/5 and where common…

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Q: The sum of the first 20 terms of the sequence 0.7, 0.77, 0.777, ... is

A: The given sequence is 0.7,0.77,0.777,...... The sum geometric sequence with common ratio r<1 ,of…

Q: Find a formula for the general term a, of the sequence, assuming that the pattern of the first few…

A: Given that, first few terms are:      -6,4,-83,169,-3227..... The given sequence is the geometric…

Q: What is the sum of the first 53 terms of the series 16 + 23 + 30 + --

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Q: 4. What is the fourth term in the sequence defined as: a1 126 and an 3(an-1) - 5 %3D %3D

A: A sequence is a function which domain being the set of natural numbers and the range being the set…

Q: Find the first four terms and the seventh term of the sequence that has the given nth term.

A: To find first four terms and seventh term of sequence .

Q: 2. The missing term of the geometric sequence 45, [ ],1620, . is ...

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Q: Suppose that the sequence {ax}1 is 2, 4, 6, 8, 10, 12, 14, 16, ... What is a4?

A: Answer

Q: 9 16 2' 3' 25 What is the 30th term of the sequence 4, -- -

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Q: explicity. 3) Write out the first three terms of the sequence 3+2n

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Q: If the nth term of a sequence is (-1)"+1, which terms are positive and which are negative? п

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Q: 4. Write down the first six terms of the Fibonacci =1 and F2 = 1. sequence defined by Fn Fn-1 +…

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Q: 3. Find two possible next terms of a sequence 2, 8, 9,17 that is neither geometric nor www…

A: Given the sequence 2,8,9and 17. We need to find the 2 possible next terms of a sequence.

Q: () What will be the 7th term in the sequence defined by gn = 2 · n-1 Enter your answer as a…

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Q: Find ag from a geometric sequence where the first term is 63 and r is 0.4. Round to 4 decimal…

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Q: 2. If the first term of an arithmetic sequence is 3 and the common difference is 4, what is the 23rd…

A: Topic = Sequence

Q: Find the sum of the first 20 terms of the arithmetic series: 6 + 3 + 0 - 3 - 6 - . . .

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Q: Compute the first five terms of the sequence to verify the formula Tn=2n2-5n+1 For what value of n…

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Q: Suppose that the sequence {ax} is =0 2, 4, 6, 8, 10, 12, 14, 16, .. What is a1?

A: The given sequence {ak}k=0∞ is -  {ak}k=0∞ = 2,4,6,8,10,12,14,16,18,......... The first tern of the…

Q: Suppose that the sequence {ax}ı is k= 1,3, 5, 7, 9, 11, 13,.. What is a;?

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Q: . How would you classify the sequence 28, 21, 15, 10,6, B. Geometric Series A. Arithmetic Series D.…

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Q: What are the first 5 terms of the sequence represented by а %3D 2n - За 'n – 1, where ", =4,

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Q: Determine the sum of the first 6 terms of the geometric sequence. 1,2, 4, .. So

A: A geometric progression is a type of sequenc in which ratio of two consecutive terms is always a…

Q: a Calculate the first 28 terms of the Diginacci sequence with starting terms 1 and 1, and then find…

A: Given That:  In Diginacci sequence, First two terms  are less than 100 To Show  : c) It has a term…

Q: how that the sequence (1 – (-1)" +1/n) is divergen

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Q: The sum of the first three terms of an arithmetic sequence is 45, and its 5th term is 24. What is…

A: We can find the 8th term of the GP as below

Q: If the first term a, and common difference d of an arithmetic sequence are 3 and respectively then…

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Q: Find the sum of the infinite geometric series if it exists.

A: To find: The sum of given infinite geometric series. Given information: The series is 1-12+14-18+⋯…

Q: A town has a population of 5000 persons, but is expected to grow by 2% every year. (i) What would…

A: Solution: From the given information, the town has a population of 5000 persons. But it is expected…

Q: Find the sum of the first 10 terms of an arithmetic sequence formed by odd integers starting from…

A: The objective is to find the sum of first 10 terms of an arithmetic sequence formed by odd integers…

Q: Find the first six terms of the recursively defined sequence 1/2 2s n-1 Sn for n > 1, and si = first…

A: Given : A sequence  sn = 2sn-11/22 for n>1 and s1 = 1 To find : First six terms of the given…

Q: 1. Find the 30th term of the 1 1 1 harmonic sequence ,0, –? - - - 4'2' 2 2 How many multinles of -

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: If the sequence { 2 9 - An An - 3 converges to 6, then the sequence {an} converges to 9.

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Q: 2. Write the first five terms of the sequence given by Un= on 3n2 -1

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Q: 4. What are the first five terms of the sequence for a1--2 and an-2an-1+5?

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Q: 35. Prove that the sequence {n!}^, beats the sequence {2"}-1-

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Q: A sequence a1, a2, a3,….. is defined by An+1 4аn — 3, п > 1 -- = k, where k is a positive integer.…

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Q: 2) The sum of the first 16 terms of an arithmetic sequence is 212 and the fifth term is 8. a) Find…

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Q: 1. If the numbers a, m,m2, C, m, b form an arithmetic sequence, we say that the numbers m,m2, C, m…

A: If there are k arithmetic mean between a = 1 and b = 30 and d is the common difference of the…

Q: a. What would be the population size in 7 years. b. Fund the sum of the first eight terms of the…

A: Given; P0=5000 Rate=2%=0.02 the sum of the first eight terms of the sequence 18,-14,12,.... Formula…

Q: If the nth term of a sequence is (−1) n n 2 , which terms are positive and which are negative?

A: We will plug some values for n to check how the signs change.

Q: If the sequence { 2-4 an an+2 } converges to 7, then the sequence {an} converges to 9. True or…

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Q: what is the sum of the arithmetic series: all positive integers that are less than 30

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