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: Find a formula for the general term an of the sequence (starting with a1):…
A: Consider the given sequence,-3/2, -1/6, 1/12, 3/20, 5/30,…The above term of the sequence is also…
Q: Find the nth term of a sequence whose first several terms are given. 3, 7 11 15 19 16' 25 9 an =
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Q: Find the sum to infinity of the geometric sequence given below 5. 16, 4, 1, ... 6. aj= 1000, r =…
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Q: Write the explicit formula for the nth term of the sequence below. 3, 2, ? 3' 3' 5 3 7 4
A: solve and observe the pattern that seuence follow.
Q: For Exercise, find the nth term an of a sequence whose first four terms are given. 11 10 11' 22' 33…
A: We see that the sign for all terms is negative. The numerator has sequence: 8 , 9 , 10 , 11 ,.....…
Q: Find a formula for the nth term of the sequence where a, is calculated directly from n. 6 8 10 12 14…
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Q: Given a sequence defined by the explicit definition: tn = 2" – n, find the 5th term of the sequence.…
A: It is given that,the sequence:tn=2n-n We have to find the 5th term of the sequence.
Q: Find a formula for the nth term of the sequence in terms of n. 2 2? 23 24 12' 15' 18' 21' 24 1 an =…
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Q: What is the 8th term of the sequence whose ?th term is defined as ?? = (−1)^n(3n-2)
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Q: Find the fifth term and the nth term of the geometric sequence whose initial term, a, and common…
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Q: Find the eigth term of the geometric sequence from the given information. Express the term as an…
A: Our Aim is to find the eigth term of the geometric sequence given that:-a2=-9 and r=13
Q: Find a formula for the nth term of the sequence in terms of n. 1 3 32 8' 10' 12 14' 16 33 34 ... an…
A: Given sequence 18,310,3212,3314,3416,...We find a formula for the nth term of the sequence .
Q: Find a formula for the nth term of the sequence in terms of n. 3 32 33 34 1 10' 15' 20' 25' 30
A: We have to find the nth term of the sequence.
Q: Find a formula for the nth term of the sequence in terms of n. 1 2 22 23 24 9' 12' 15 18' 21 ** ...…
A: Try to observe the pattern in numerator and denominator separately.
Q: Find the 7th term in the sequence with the following definition: a₁ = 64 an = an-1
A: Given.
Q: Find a formula for the nth term of the sequence where an is calculated directly from n. 5/1 , 7/2 ,…
A: The detailed solution is given below Thank you
Q: Find the nth term of a sequence whose first several terms are given. 7 11 15 19 49' 16' 25'* 3, an
A: To find The nth term of the given sequence
Q: Use the formula for the general term (the nth term) of a geometric sequence , to find the indicated…
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Q: Find the nth term of a sequence whose first several terms are given. 11 17 23 29 4 9 16' 25' an = II…
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Q: Find the sum Sn of the arithmetic sequence that satisfies the stated conditions.
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Q: Find the twelfth terms of the sequence described by the explicit formula f(n) = 7 - 2( n-1) %3D…
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Q: Find the sum to infinity of the geometric sequence given below 1. 12, 4. .. .... 2. 900, 9, 0.09,...…
A: 1): Hera1=12a2=4a3=34This is not a geometric progression as a1a2 and a2a3 are not equal.SO, it is…
Q: Find a formula for the nth term of the sequence where a, is calculated directly from n. 6 10 14 18…
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Q: Determine the nth term for a sequence whose first five terms are 2 8 26 80 242 2' 6 24 120 and then…
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Q: Write out the first four terms of the sequence given the following recursive definition: tne1 =…
A: # the given initial value is a1=8 . considering it as t1=8 given the relation tn+1=-2tn+6 substitute…
Q: Find a formula for the general term ɑn of the sequence assuming the pattern of the first few te con…
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Q: 2" An 2n+1
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Q: Find a formula for the general term a, of the sequence assuming the pattern of the first few terms…
A: -93, 119, -1327, 1581, -17243, ..... It can be written as, -11931, -121132, -131333, -141534,…
Q: Indicate a general rule for the nth term of the sequence when a, = 2 and r =. 3. a, = (2)(J)*| n+1…
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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 nth term of a sequence whose first several terms are given. 3 5 7 9 1, 4' 9' 16' 25' an
A: See attached file for a step by step explanation.
Q: Indicate a general rule for the nth term of the sequence when a, = 2 and r = a, = (/2)(5y* a, =…
A: Given query is to find the nth term of the sequence.
Q: Find the fifth terms of the sequence described by the explicit formula. f(n) = -9.2 -2.5( n-1) %3D…
A: Given function is f(n)=-9.2-2.5(n-1)
Q: Find a formula for the nth term of the sequence where a, is calculated directly from n. 8 12 16 20…
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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: Find a formula for the nth term of the sequence in terms of n. 1 2 22 23 24 20' 25' 30' 35' 40
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Q: Find a formula for the nth term of the sequence where a, is calculated directly from n. 37 11 15 19…
A: The numerators are 3, 7, 11, 15, 19,... This is an arithmetic progression with a common difference…
Q: Find the nth term of a sequence whose first several terms are given. 2, 5/4, 8/9, 11/16, 14/25
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Q: Find a formula for the nth term of the sequence where a, is calculated directly from n. 1 3 5 7 1'…
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Q: For Exercise, find the nth term an of a sequence whose first four terms are given. 1· 2 1.2.3…
A: Let Tn be the nth term. Examine the numerator of T1 = 1.2; that of T2 = 1.2.3; that of T3 = 1.2.3.4…
Q: Find an expression for the n'h term of the sequence. (Assume that the pattern continues.) 10 15 20…
A: To find nTh term of the sequence we have to see the pattern carefully and observe how the sequence…
Q: Find a formula for the nth term of the sequence in terms of n. 3 32 33 34 8' 10' 12' 14' 16 1
A: We have to find the formula for the nth term of the sequence in terms of n.…
Q: Identify the explicit formula for the nth term of the sequence written below. 4, -8, 64/3, -64,…
A: 4, -8, 64/3, -64, 1024/5, -2048/3
Q: Find the n th term a of a sequence whose first four terms are given. 5 6. 7 8 - ... 11 22 33 44'
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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: For Exercise, write the first five terms of the sequence defined recursively. di = 30; d, = d,- - 1
A: We plug n=2 in the given formula and d1=30
Q: For Exercise, find the number of terms of the finite arithmetic sequence 11, 10.7, 10.4, 10.1, … ,…
A: Given, terms of the finite arithmetic sequence11, 10.7, 10.4, 10.1, … −3.4
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- Find the sum of the first five terms of the sequence with the given general term. an=nWhat 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?What is the procedure for determining whether a sequence is geometric?
- Find a formula for the nth term of the geometric sequence 4, 20, 100, . . . .What is the 12th term of the sequence?Find a general term for the sequence whose first five terms are shown. 5, 10, 15, 20, 25, …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+53Follow 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
