51. Find the sum of the first 40 terms of the sequence. {1, 6, 11, 16, ...} (See Example 7)

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

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Q: 60, 30, 0, -30 ,.. This sequence is: Arithmetic, Geometric, Neither

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Q: What is the common difference of the arithmetic sequence 5,8, 11, 14? 1) 2) -3 3) 3 4) 9

A: Given arithmetic sequence is 5,8,11,14 find the common difference of arithmetic sequence  d=an-an-1…

Q: 14. The sum of the first 50 terms of the sequence 2, 8, 14, 20, 26, ...

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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: 2. Find the nth term of the sequences below: а. 3, -5, 7,- 9, 11, b. О, 2, 6, 12, 20, . с. 99, 199,…

A: Topic:- series  Note:- as per our guideline if more than three subparts of a question uploaded than…

Q: What is a sequence? What notation do we use to denote the terms of a sequence?

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Q: What is the 5th term of the geometric sequence 3/20, 3/2, 15, …? Show your solution.

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Q: 3. Evaluate to find the sum of the first 7 terms in the arithmetic sequence. 8, 2, -4, ...- 28

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

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Q: What is the common difference of the arithmetic sequence 5, 8, 11, 14? 8 1) Š 2) -3 3) 3 4) 9

A: Introduction: An arithmetic sequence is the foremost sequence in mathematics. The terms follow a…

Q: What are the first 5 terms in the sequence an = 2n + 8 O 2, 10, 18, 26, 34 O 10, 12, 14, 16, 18 О 8,…

A: Given an=2n+8.

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: What is the 11th term of the geometric sequence −1.5, −3, −6, −12, ...

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Q: what is n^th element of the following sequence -1,2,-4,8

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

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Q: 7. Use a difference table to predict the next term in the sequence. 2, 7, 24, 59, 118, 207, ...

A: We can solve the given problem using the concept of sequence of difference table.     According to…

Q: What are the next three terms of the sequence 256, 64, 16, 4, 1? O 1/4, 1/16,1/64 O -4, -16, -64 O…

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Q: The first three terms of an arithmetic sequence are 7, 10.5, 14. a. What is the 31st term of the…

A: We have to find: a 31st term of the sequence b sum of first 31 terms of the sequence Where three…

Q: 1.Write the first four terms of the arithmetic sequence with first term is 8 and common difference…

A: A sequence is a set of numbers that has a particular order or obeys a general form. The nth term of…

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: The first three terms of an arithmetic sequence are 7, 10.5, 14. A) What is the 31st term of the…

A: The terms of the AP are, a1=7a2=10.5a3=14   The common difference is, d=a2-a1=10.5-7=3.5   Thus, the…

Q: 17. Determine the next 3 terms in the sequence: 22, 31, 40, 49, 58, ... O 67, 76,85 O64, 70, 76 60,…

A: given sequence is :22,31,40,49,58,... their same distance in all number  d=31-22=40-31=9 d=9

Q: What is the sum of the first 9 terms of the given geometric sequence? 3,9, 27, 81, .. A 351 29,523…

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Q: 5. What is the 100th term of the arithmetic sequence 8, 12, 16, 20...? * 108 O 396 O 404 O 408

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Q: Find the sum of the first 12 terms of the geometric sequence shown below. 4​,12,,36,108,...   the…

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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: Which of the following sequences is an arithmetic sequence? Why? 1. 10, 15, 20, ... 2. 2, 4, 8,16,…

A: Using definition of Arithmetic Sequence.

Q: 4 if it exists. 8. Find the infinite sum of the geometric sequence with a = 5, r = I.

A: The infinite sum of the geometric sequence with the first term ''a'' and common ratio r  is   .…

Q: What is the sum of the first 47 terms of the sequence? −215,−201,−187,−173,

A: We have given a sequence  -215 , -201, -187, -173 So first term,a = -215 Common difference = Second…

Q: (2) Identify the next likely term in the sequence and the type of sequence: 5000, 2000, 800, 320,…

A: 2. The required sequence can be solved as below

Q: 9. Find the sum of the first 20 terms of the geometric sequence 2,6,18,.... A. 3,486,784,400 B.…

A: The series a geometric series. We can easily solve using formula for sum of geometric series

Q: Find the 21th term of the given sequence 2, 1, 1/2, 1/4, 1/8…

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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: 2) 2, 4, 64, 128

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

Q: The 9th term of an arithmetic sequence is 19 and the 20th term is 20.3 What are the first three…

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Q: A. what is the 3rd term of the sequence defined by an=(-2n)n? B. What is the sum of the sequence…

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Q: B. Find the next term of the following sequence. 6. 2, 6, 10, 14, ... 7. 1, 3, 5, 7, ... 20, 14, 8,…

A: Given :   2,6,10,14.. 1,3,5,7,.. 20,14,8,2,.. 12,32,52,... 36,1,8,0

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 13 terms of the geometric sequence shown below. 5 7. 5, - 20, 80, . The…

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Q: 7. What is the 12th term of the sequence 10, 6, 2, ...? O-16 O-24

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Q: 1. Find the value of the 11th term in the sequence 2, 6, 18, 54, ...

A: Topic = Sequence

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

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Q: 7. How many terms are there in the sequence 1,4,7,10,...,682?

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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: 5. Construct a difference table to predict the next term of a sequence 1, 7, 17, 31, 49, 71,...

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Q: 12) Find the n-th term of the Sequence 12,8,4,0,-4,-8,..

A: nth term of the arithmetic sequence :  an =a+(n-1)d , where , a-first term and 'd' is common…

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

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Q: 2. Determine the Sum of the first 6 terms of the Sequence 5/96 , 5/48 , 5/24 , 5/12,... Enter your…

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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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