For the following geometric sequence, find ag. 1 4, 2, 1, 5.. ag (Type an integer or a simplified fraction.) %3D
Q: Calculate the first four terms of the following sequence, starting with n = 1. bị = 6, b : 2, b, =…
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Q: For the following geometric sequence, find the recursive formula {-80,20,-5,...}
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Q: Calculate the required term for the sequence with the following given: a1 = 4 , r=6 , a10 =?
A: If a, ar, ar2, ar3, ... are in geometric sequence with first term a1= a and common ratio r then the…
Q: Write an explicit formula for the nth term of the arithmetic sequence where the fourth term is 28…
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Q: Given the following sequence, provide the (unsimplified) sum of the first 16 terms: 4/5, 4, 20, 120,…
A: Given sequence is 4/5 , 4 , 20 , 120 Series is Geometric Progression Series has first term as 4/5…
Q: For the following arithmetic sequence, find the sum of the terms from a14 to a23, inclusive. 2, 5,…
A: This question is based on Arithmetic progression.
Q: Find the common ratio, r, for the following geometric sequence. 3, 15, 75, .
A: Here, the common ratio r = 153 = 7515 = 5
Q: Write the explicit form for the nth term of the following geometric sequence. 4,15,45,135…
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Q: se the formula for the sum of the first n terms of the geometric sequence, and then state the…
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Q: Identify the sequence graphed below and the average rate of change fromn = 1 to n = 3. (2, 8) 7 (3,…
A: We are given a graph with some coordinates we need to find out the sequence of the graph and average…
Q: Write the first four terms of the sequence whose general term is given an = (-1)n+1/2n +1
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Q: For the geometric sequence, 1 169, –13, 1, 13 - What is the common ratio? What is the fifth term?
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Q: Find an for the following geometric sequence. and a5
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Q: Calculate the first four terms of the following sequence, starting with n = 1. b1 = 4, b2 = 2, b, =…
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Q: Find the indicated term for the geometric sequence with first term, a,, and common ratio, r. Find…
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Q: For the following geometric sequence: find an. 1, 2, 4, 8, ...; find a13. a13 %3D
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Q: Find the 20th term of the geometric sequence given the first term is -7 and the common ration is…
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Q: Find the 10th element of the following arithmetic sequence, counting 7 as the first. 7,11,15,19,...
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Q: Find the missing term of the geometric sequence with the following given that 1 1 a4 = a5 = ag = ?
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Q: For the following geometric sequence, find a6. 5, 5/3, 5/9, 5/27,
A: A sequence is a succession of terms arranged in a definite order according to some defined rule. The…
Q: Use the formula for the general term (the nth term) of a geometric sequence , to find the indicated…
A: A geometric sequence with the first term a1 and the common ratio r , the nth (or general) term is…
Q: For a given arithmetic sequence, the 93rd term, ag3, is equal to 479, and the 12th term, a;2, is…
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Q: Find the sixth term of a geometric sequence whose first term is 5 and whose common ratio is 2. * O…
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Q: For the following geometric sequence, find a8. 1, 1/5, 1/25, 1/125
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Q: Find the 8th term of the geometric sequence show below 2a", 10a°, 50a,..
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Q: For the following sequence, state the next three terms. 15, 45, 135, 405, 0 State a formula for the…
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Q: , 256 Find the missing terms from the following geometric sequence: 4,
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Q: Find the 10" term of the following geometric sequence. 4, 20, 100, 500,
A: A sequence is a function with domain being the set of natural numbers and the range being the set of…
Q: Find the formula for the geometric sequence below with n> 1. 3 9 27 81
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Q: Find the formula for the nth term of the sequence. 10
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Q: find the indicated nth partial sum of the arithmetic sequence.
A: Consider a sequence whose
Q: For the following sequence, state the next three terms. 39, 34, 29, 24, The common difference is :…
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Q: Use the formula for the general term (the nth term) of a geometric sequence , to find the indicated…
A: a1=8000, r=-12
Q: Find a7, the seventh term of the geometric sequence whose first term is a₁ = 9280 and whose common…
A: topic - geometric sequence
Q: Determine the formula for the following sequence −15,−12,−9,−6,−3
A: Since, we have been given the sequence as -15, -12, -9, -6, -3.Our aim is to construct the formula…
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: Use the formula for the general term (the nth term) of a geometric sequence , to find the indicated…
A: Given: a=4, r=-2 we know that nth termTn of a geometric progression is given by Tn=a.rn-1…
Q: Find the 13th term of the following geometric sequence. 4,8,16,32....
A: Here,
Q: both questions
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Q: Find the explicit formula for the general nth term of the arithmetic sequence described below.…
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Q: Find the 9th term of the following geometric sequence. 1, 5, 25, 125, ...
A: The nth term of a geometric sequence is an=arn-1 where r is the common ratio and a is the first…
Q: 1. Find S15 for the arithmetic sequence {4, 10, 16, ... }
A: Since you have asked multiple questions, we will solve the first question for you. If you want any…
Q: Calculate, to four decimal places, the first ten terms of the sequence. an = 1 + an 4 10
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Q: For the following geometric sequence, find a8. 1, 15, 125, 1125,
A: Topic = geometric progression A= first term R= common ratio
Q: Write the first four terms of the sequence whose general term is given below. an = (- 1)*'(n + 2)
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Q: a.) 1, 5, 25, 125, 625, ... (until ag)
A: Given: 1,25,125,625,...
Q: Find a1and r for a geometric sequence given that a3 = 18 and a6= 486.
A: Given a geometric sequence such that
Q: For the following geometric sequence, find a-. 1 4, 1, 4' 16' 1 - a7 = (Type an integer or a…
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Solved in 3 steps
- Find the sum of the first five terms of the sequence with the given general term. an=nFind the sum of the first 50 terms of the arithmetic sequence whose general term is an=4n+3.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?
- Find the 12th term of the geometric sequence whose first term is 14 and whose common ratio is 1.2.Use the explicit formula to write a geometric sequence whose common ratio is a decimal number between 0 and 1. Show the first 4 terms, and then find the 8th term.Find a formula for the nth term of the arithmetic sequence whose common difference is 5 and whose first term is 1
- 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.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 ofnthat 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. 62. List the first five terms of the sequence. an=289n+53
- 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+4.1n1.52.4nFind 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.
