Q: Predict the general term, or nth term, an, for the sequence. 1 2 3 4 5 - - 5'6'7' 8' 9 an %3D II
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Q: (4) Find the sum of the sequence in (2) to an infinite number of terms.
A: identify the series
Q: Suppose a, is the sequence such that a, = -3 - (-1)". Find 25 Li-5 đị. O a. 325 - 35 O b. -3 Ос. 3 O…
A: Given sequence is an=−3⋅−1n. We have to find the ∑i=525ai.…
Q: 1. Find the first four terms of the sequence whose nth term is an = 2 + 3n. * 5, 7, 9, 11 O -1, -4,…
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Q: 9) For the sequence 0,2,4,6,00., So. Calculate
A: Given, Sequence : 0, 2, 4, 6, . . .
Q: 3 if it exists. 8 Find the infinite sum of the geometric sequence with a = - 5, r = |
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Q: Consider the sequence given by an = 2 · 5"-'. a. Find the first 4 terms of the sequence. What sort…
A: The sum of first n terms of a geometric series is calculated using the formula, an=a(rn-1-1)r-1,…
Q: 2. What is the term ag of the sequence {an} if an equals a) 2-1? b) 7? c) 1+(-1)"? d) -(-2)"?
A: A sequence is a set of numbers that has a particular order or obeys a general form. In this problem,…
Q: a1 = -1, and for n = 2, 3, 4, .. What is the common ratio, r, for this sequence? O -- O r--1
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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: 13. What is the twelfth term in the sequence an = 3n - 22? 09 0-7 O 14 O26
A: Find the twelfth term
Q: What are the first 5 terms of the sequence a₁ = 5₂ a = 2n-a n-1, where
A: We have to apply simple mathematics logic to solve the problem
Q: 3. What is the general term of the sequence: 5, 15, 45, 135, 405, ... a. t₁ = 3(15) b. t₁ = 3(5)n-1…
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Q: 3. What is the 10th term of the sequence whose nth term is an = (n^2+2n-3)/(n+1) ? * O 117/11 O…
A: We are given the nth term of the sequence and we need to find the tenth term of the same. This can…
Q: When finding the nth term in an arithmetic sequence, how do I sole a sequence with fractions? For…
A: In order to find the nth term in an arithmetic sequence of fractions, one should be able to find the…
Q: 9 16 2' 3' 25 What is the 30th term of the sequence 4, -- -
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Q: Predict the general term, or nth term, an, of the sequence. 1 7, 2 8, 3 9, 4 10, ..
A: The given sequence is 1*7,2*8,3*9,4*10,...
Q: 14. Which explicit formula describes the geometric sequence {, ,7 8T}? 1 1 O an = (3)"-1 O + (n –…
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Q: 7. What is the 10th term of the sequence defined by a, = 5p³q² and an = O an-1?
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Q: what is n^th element of the following sequence -1,2,-4,8
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Q: 3. The 3rd term of a geometric sequence is 12 and the 7th term is 192. Determine the 13th term.
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Q: 27 3. Explain how you would find the general term of the sequence: 4, -6, 9, - ".
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Q: 2. Find the nth term of the sequences below: a. 3,-5, 7,-9, 11,...
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Q: Find a formula for the nth term in the sequence: 4 10 16 22 28 2 6 12' 20' 30 >... nth term is
A: The given sequence is 4/2, 10/6, 16/12, 22/20, 28/30,................. To find nth term
Q: nth term for n = − 5+(n-1)14, where n is a positive integer. What is the value of the tenth term in…
A: we put n=10 in given sequence and find 10th term .see 2nd step.
Q: 1 Find the twentieth term of the sequence an = 2 ( 0.1 )"
A: Since you have asked multiple question, we will solve the first question for you. If you want any…
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: 1. What are the next three terms of the sequence shown below? 3, -6, 12, -24, ...
A: the given sequence is 3, -6, 12, -24,...............
Q: B. Find the nth term of the sequence 1. 10, 10, 12, 16, 22, 30, ...
A: Due to our guidelines I am solving only first problem The given sequence is 10, 10, 12, 16, 22,…
Q: 4 Chose the formula for the nth term of the Geometric Sequence: 6, 4, 4, 10
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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: 1. Consider the sequence d = {5,-2, , 5 5 4 » 8 > 16 > •. -- a. What is the common ratio? b. What…
A: Given problem:-
Q: 9. Find the explicit formula for a sequence satisfying а, %3D10а,, + 25а, _,n22 n-1 а, %3D 3, а,…
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Q: What is the n^th term of the following sequence 1,4,7,10
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Q: Suppose that al, a2, a3, .. is an arithmetic sequence with common difference d. Show that 10, 10,…
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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: How many terms must be taken from the sequence (-16, 14, 12, ...) starting from the first term so…
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Q: The first few terms of a sequence are: 8 8 8 8 8 {an} 3' 9' 27' 81’ 243 8. Assuming this pattern…
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Q: 8. Find the missing term of the arithmetic sequence 22, 34, ... O46 O16 O28 O40
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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: 7. What is the 12th term of the sequence 10, 6, 2, ...? O-16 O-24
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Q: 7. How many terms are there in the sequence 1,4,7,10,...,682?
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Q: 11. Write the formula for the nth term of the following sequence: 3,-9, 27,-81, 243, -..
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Q: Find the first 6 terms of the sequence defined byf (n) = 2n + 3.
A: Given, f(n)=2n+3
Q: n(n – 3) what is 18"term of the sequence defined by a, %3D n +4
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Q: B. Find the nth term of the sequence, then find the 2oth term. 5. 5. -6, -4,-2,..
A: Solution..
Q: 2. Find the nth term of the sequences below: a. 3, -5, 7, - 9, 11, ...
A: As per our guidelines we are supposed to solve only one question. For the solution of the first…
Q: (a) What are the 5th terms for each sequence? That is, what are the values of a, and b5? (b) For…
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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…
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- For which term does the geometric sequence an=36(23)n1 first have a non-integer value?Calculate the first eight terms of the sequences an=(n+2)!(n1)! and bn=n3+3n32n , and then make a conjecture about the relationship between these two sequences.What happens to the terms an of a sequence when there is a negative factor in the formula that is raised to a power that includes n? What is the term used to describe this phenomenon?
- At which term does the sequence 10,12,14.4,17.28,... exceed 100?Find the twenty-third term of an arithmetic sequence whose seventh term is 11 and common difference is three. Then find a formula for the general term.Find the sum of the first 50 terms of the arithmetic sequence whose general term is an=4n+3.
- Follow these steps to evaluate a finite sequence defined by an explicit formula. Using a Tl-84, do the following. • In the home screen, press [2ND] LIST. • Scroll over to OPS and choose ‘seq(” from the dropdown list. Press [ENTER] • In the line headed “Expr:” type in the explicit formula, using the [X,T,,n] button for n • In the line headed ‘Variable” type In the variable used on the previous step. • In the line headed ‘start:” key in the value of n that begins the sequence. • In the line headed “end:’ key in the value of n that ends the sequence. • Press [ENTER] 3 times to return to the home screen. You will see the sequence syntax on the screen. Press [ENTER] to see the list of terms for the finite sequence defined. Use the right arrow key to scroll through the list of terms. Using a TI-83, do the following. • In the home screen, press [2ND] LIST. • Scroll over to OPS and choose “seq(“ from the dropdown list. Press [ENTER]. • Enter the items in the order “Expr’, Variable’, ‘start”. end separated by commas. See the instructions above for the description of each item. • Press [ENTER] to see the list of terms for the finite sequence defined. Use the right arrow key to scroll through the list of terms. For the following exercises, use the steps above to find the indicated terms for the sequence. Round to the nearest thousandth when necessary. 65. List the first four terms of the sequence. an=5.7n+0.275(n1)Follow these steps to evaluate a finite sequence defined by an explicit formula. Using a Tl-84, do the following. • In the home screen, press [2ND] LIST. • Scroll over to OPS and choose ‘seq(” from the dropdown list. Press [ENTER] • In the line headed “Expr:” type in the explicit formula, using the [X,T,,n] button for n • In the line headed ‘Variable” type In the variable used on the previous step. • In the line headed ‘start:” key in the value of n that begins the sequence. • In the line headed “end:’ key in the value of n that ends the sequence. • Press [ENTER] 3 times to return to the home screen. You will see the sequence syntax on the screen. Press [ENTER] to see the list of terms for the finite sequence defined. Use the right arrow key to scroll through the list of terms. Using a TI-83, do the following. • In the home screen, press [2ND] LIST. • Scroll over to OPS and choose “seq(“ from the dropdown list. Press [ENTER]. • Enter the items in the order “Expr’, Variable’, ‘start”. end separated by commas. See the instructions above for the description of each item. • Press [ENTER] to see the list of terms for the finite sequence defined. Use the right arrow key to scroll through the list of terms. For the following exercises, use the steps above to find the indicated terms for the sequence. Round to the nearest thousandth when necessary. 66. List the first six terms of the sequence an=n!nFollow these steps to evaluate a finite sequence defined by an explicit formula. Using a Tl-84, do the following. • In the home screen, press [2ND] LIST. • Scroll over to OPS and choose ‘seq(” from the dropdown list. Press [ENTER] • In the line headed “Expr:” type in the explicit formula, using the [X,T,,n] button for n• In the line headed ‘Variable” type In the variable used on the previous step. • In the line headed ‘start:” key in the value of n that begins the sequence. • In the line headed “end:’ key in the value of nthat ends the sequence. • Press [ENTER] 3 times to return to the home screen. You will see the sequence syntax on the screen. Press [ENTER] to see the list of terms for the finite sequence defined. Use the right arrow key to scroll through the list of terms. Using a TI-83, do the following. • In the home screen, press [2ND] LIST. • Scroll over to OPS and choose “seq(“ from the dropdown list. Press [ENTER]. • Enter the items in the order “Expr’, Variable’, ‘start”. end separated by commas. See the instructions above for the description of each item. • Press [ENTER] to see the list of terms for the finite sequence defined. Use the right arrow key to scroll through the list of terms. For the following exercises, use the steps above to find the indicated terms for the sequence. Round to the nearest thousandth when necessary. 63. List the first six terms of the sequence. an=n33.5n2+4.1n1.52.4n
- Find the nineteenth term of a sequence where the fifth term is 1 and the common difference is -4. Give the formula for the general term.At which term does the sequence {12187,1729,1243,181....} begin to have integer values?Find the sum of the first five terms of the sequence with the given general term. an=n
