What is the first term of the geometric sequence presented in the table below? 3 8. 84 -2,688 Hint: a, = a (r)* -1, where az is the first term and r is the common ratio. a1 = 21 O 01 = 28 O 1 =- O 01 =-21

Q: n²cos (1/1) 2n² + 1

A: Given query is to find the series converges or diverges.

Q: Exercise 6. Find the sum of the first eight terms in the geometric sequence: 100, 100(1.08),…

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Q: 4- 120..} .... Determine the next term of the sequence { - 24

A: The sequence is  {12,-16,124,-1120}  +2 = (-1)2 ÷ 2! -6  =  (-1)3 ÷ 3!  24 =  (-1)4 ÷ 4!  -120 =…

Q: Given the geometric sequence: -1, 6, -36, 216, . Which of the following represents the explicit…

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Q: Let an denote the nth term of a geometric sequence. Let ao= 128 and an+1= 2an. What is the explicit…

A: The formula of common ratio is given below: where, an+1 is the (n+1)th term, an is the nth term, r…

Q: The nth term of the geometric sequence is . a1 = 17, r = -2, n = 8.

A: Given that, a1 = 17, r = -2, n = 8

Q: 2. Express the geometric sequence as an explicit formula. Then find the 10th term. Sequence: 9, –3,…

A: The explicit formula for a geometric sequence is of the form  f(n) or an= a1 rn-1 where r is the…

Q: Find the 2nd, 3rd, and 4th terms of the geometric sequence whose first term is 6 and common ratio is…

A: The nth term of a sequence can be obtained by the formula an=arn-1,where r is the common ratio and…

Q: What are the next three terms of the geometric sequence 4, 24, 144, ... ? O 864, 3,456, 13,824 864,…

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Q: 15) Find an and a21 for the arithmetic sequence for which S₁7 = 187 and a₁7 = - 13. Hint: Use the…

A: For an arithmetic sequence, we have,S17=187a17=-13 To Find:ana21

Q: 50. Find all values of x such that x – 7,x + 7, and 4x – 7 form a geometric sequence. 32 A. x = 0 or…

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Q: use the equation to determine the 5 b) -27, -36, –45, -54, ...

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Q: 1. Consider the sequence ) 3 5 7 ) ) 8 48 384 ...). Answer the following: ) a. Find the general term…

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Q: One of the following sequences is monotone increasing. Select one: a. (e-") O b. 1+n2, C. None of…

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Q: 11. Given the sequence {an} = 2n2 - 3n + 4 a. List the first 6 elements of this sequence.

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Q: Find the 7h term of the geometric sequence:

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Q: Activity 1: What's My nth Term? Directions: Find the nth term of the given arithmetic sequence: 1.…

A: The nth term of an arithmetic sequence having first term a and common difference d is, tn = a+(n-1)d…

Q: Find the 16th term of each sequence below: {0, 1, 1, 2,...} 4 8 16 32 5 15' 45' 135' 1/5,...}

A: To find the 16th term of given sequence. We will use A.P and G.P sequence nth term for finding 16th…

Q: For a given arithmetic sequence, the 29 term, a,o, is equal to 243, and the 89" term, ago, is equal…

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Q: What are the first 5 terms (starting with ao) of the sequence described below? an = 2an-1 - an-2…

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Q: To at least 3 significant figures, find the sum of the first 45 terms of this geometric sequence: -…

A: The given problem is to find the sum of first 45 terms of the given geometric sequence,  Given…

Q: 2958 is the nth term of the arithmetic sequence 6, 10, 14, 18... for what value of n? That is an =…

A: Given,  the  arithmetic sequence                         6, 10, 14, 18, . . . and…