How do i compute Geometric progression sum for a finite and infinite sums.    1. 3+9+27+81+.....+2^13 2. 3+9+27+81+.....+...infinite sum   im trying to find the gp sum of the above sequences.

Q: Find the sum of the first 90 terms of the geometric sequence. Show your work with the formulas 4800,…

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Q: 5. What is meant by the index of a term of a sequence?

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Q: create a sequence with five terms based on the given information.  An arithmetic sequence with a…

A: Given that the third term of the arithmetic sequence is 8 and the common difference is 5.That is a3…

Q: Use the geometric sequence to help write a recursive rule and an explicit rule for any geometric…

A: For any geometric sequence a, ar, ar2, ar3, ... , where a be the first term, r be the common ratio.…

Q: Use the difference table to predict the next term in the sequence. Show your complete formula.  1.)…

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Q: What are absolute converging, conditional converging and divergent sequences ? (nln n)

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Q: What is the 100th term of the sequence –3, 2, 7, 12, ...?

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Q: A geometric sequence whose first term = 2 and whose sixth term = 64, i) find the first six terms ii)…

A: The nth term of a geometric progression or a geometric sequence with first term and common ratio r…

Q: Determine the first six terms of the sequence defined by t₁ = -5 and t = -3t-1 + 8. -5, 23, -61,…

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Q: Find the 73rd term of the arithmetic sequence with first term 1 and common difference − 1 2 .

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Q: 3 if it exists. 8 Find the infinite sum of the geometric sequence with a = 6, r = Preview

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Q: 5. Distinguish between a sequence and a series. Use both words and examples to make this…

A: Distinguish between a sequence and a series:

Q: What is the eighth term of the arithmetic sequence? 8 -7 -6 -5 tn +4 -3 -2 -2 -3 4 -6 -7 -8

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Q: Find the indicated term of the geometric sequence. 9th term of 0.6, 0.06, 0.006,.. Enter the 9th…

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Q: Is this sequence geometric? 2, 4, 12, 48,..

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Q: Use the geometric sequence to help write a recursive rule and an explicit rule for any geometric…

A: 5,10,20,40,80,...

Q: 3. In an arithmetic sequence if 5th term value is 26 and 10th term value is 51. Find 15th term…

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Q: What are the first five terms in the recursive sequence defined by aj = 2 a2 = 3 An = an-2 an-1? O…

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Q: What will be the sequence generated by the generating function 3x/(1-x)2?     a) 9, 12, 15, 18,……

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Q: 10. Determine the sum of the sequence 500, 497,494, ... 188,

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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: The sequence has eight terms. Evaluate the related series. If your answer includes a negative, enter…

A: Given:         The sequence is -3.5,-1.25,1,...,12.25          The sequence is arithmetic  where…

Q: Qr. identipy and the pollowing sequence then terms. gind its 15 20 and 2,8,14, 20 --

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Q: Which term of the geometric sequence 6, 18, 54, … is 118098

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Q: 9. Find the partial sum of arithmetic sequence of 25 terms starting with 5, 10, 15, 20,.........

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Q: Find the 83rd term of the arithmetic sequence with 1st term 6 and common difference −1/2

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Q: An arithmetice sequence has first term a =1 and fourth term ag = 16. How many terms of this sequence…

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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: Find the sum of the first 12 terms of the geometric sequence shown below. 3 2 . 3,-6, 12, The sum of…

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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: Find the sum of the first 40 terms of the arithmetic sequence with first term 3 and 40th term 120

A: According to question given thatwe have to calculate the first 40 terms sum of the arithmetic…

Q: 4. The 1st term of an arithmetic sequence is -168 and every term after the first is 8 more than term…

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Q: 5 th term of a geometric sequence is -80 and its 10 th term is 2560. Calculate the following. Show…

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

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Q: 1.10th term in the arithmetic sequence with -9 as the 1st term and 4 as the common difference, 2. A…

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Q: {3, 6, 12, 24, 48, 96, 192 } How do I find the explicit formula for this sequence?

A: Given sequence is 3,6,12,24,48,96,192 To find the explicit formula. Solution: Here, we have a1=3…

Q: Find the sum of the first 14 terms of the geometric sequence shown below. 2, 6, 18, 54,... ***** The…

A: Given, Geometric sequence 2, 6, 18, 54 .... The objective is to find the sum of the first 14 terms.…

Q: Find the sum of the first 14 terms of the geometric sequence shown below. 2, 6, 18, 54, .. The sum…

A: Given that :  2 , 6,18,54,..... By using geometric sequence...  r = difference ratio.  a = first…

Q: 2) 2, 4, 64, 128

A: Given geometric sequence is 2, 4,__, __,__64, 128

Q: 2. The seventh term of a geometric sequence is -2 and the tenth term is 128. Find the fifth term. 3.…

A: Please upload another question differently as per guidelines

Q: 5. Make up a sequence that have (a) 3, 3, 3, 3, ... as its second differences. (b) 1, 2, 3, 4, 5,…

A: Here, the objective is to find the following: a) 3, 3, 3, 3, .... as its second difference. b)1, 2,…

Q: Find the sum of the first 14 terms of the geometric sequence shown below. 3 , 3, – 12, 48, .. The…

A: The geometric sequence is given by -34, 3, -12, 48,.... To evaluate : The sum of first 14 terms.

Q: Find the sum of the first 90 terms of the arithmetic sequence with first term 10 and common…

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Q: 2 nd term of an arithmetic sequence is 16 and its 8 th term is -8. Calculate the following. Show all…

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Q: th Find the n of a sequence whose first four terms are given. 6. 8 - ... 11 ' 22' 33 44 믐 a

A: Write n term

Q: 15 For the sequence ɑn n+1' its first term is

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Q: Find the sum of the first 60 terms of the arithmetic sequence with third term 10 and eighth term 25

A: Let, first term is a, And the common difference is d. Sum of first 60 term =(60/2)(2a+59d)…

Q: 4 24. (_^ -ン Sn %3D

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Q: Find the indicated nth partial sum of the arithmetic sequence. 6.3, 6.1, 5.9, 5.7,. . .,   n = 13

A: Given arithmetic sequence is  6.3, 6.1, 5.9, 5.7,...... we are given with arithmetic sequence, so…

Q: Find the nth term of a sequence whose first several terms are given. 2/3, 3/4 , 4/5, 5/6

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.