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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: Construct the The difference table of 9,4,3,12,37,84 to the next term of sequence?
A: The given sequence is 9, 4, 3, 12, 37, 84. Construct a difference table for the given sequence as…
Q: Find the sum of the first 130 terms of the arithmetic sequence 8, , 7, ....
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Q: Find the sum of the first 22 terms of the arithmetic sequence: 5, 12, 19, 26, . . . .
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Q: Find the sum of the first 845 terms of the sequence shown: 22, 18, 28, 37, 34, 56, 40, 75, ... sum =
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Q: Find the sum of the first 8 terms of the geometric sequence 3,6,12,…
A: First term= a= 3 Common ratio= r= 6/3= 2
Q: 2. The third term of an arithmetic sequence is x and a, = 19x + 6. Find the twelfth term. 3. Php…
A: given
Q: What is the sum of the first 145 terms in this sequence? 25, 21, 17, 13,...
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Q: m of the first 10 terms in an arithmetic
A: Given, the sum of the first 10 terms in an arithmetic sequence is 530.
Q: Find the sum of the first 7 terms of the geometric sequence: 8, 4, 2, 1, . . . .
A: To Find The sum of the first 7 terms of the geometric sequence: 8,4,2,1,…. Concept: Sum of first…
Q: Find the first 5 terms of the sequence a = 3" -6. 9, 15, 33, 87, 249 -3, 0, 3, 6, 9 а. -3, 3, 21,…
A: an=3n-6
Q: Find the sum of the first 27 terms of the arithmetic sequence. 19, 28, 37, 46, .. What is the sum of…
A: Topic = Sequence
Q: 10. Determine the sum of the sequence 500, 497,494, ... 188,
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Q: Find the sum of the first 28 terms of the arithmetic sequence. 36, 44, 52, 60, .. What is the sum of…
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Q: Find the sum of the first 37 terms of the arithmetic sequence. 29, 36, 43, 50,
A: Given, The sum of the first 37 terms of the arthmetic sequence 29 , 36 , 43 ,…
Q: Find the sum of the first 34 terms of the arithmetic sequence with first term 3 and 34th term 69.
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Q: Find the next term in the sequence 1/2 , 2/3 , 1 , 8/5 , 8/3 , _____
A: To determine the pattern in the sequence to find the next term
Q: Find the sum of the first 8 terms of the geometric sequence 2, 6, 18, 54, ..
A: From the given statement, the geometric sequence is 2, 6, 18, 54, …Obtain the sum of the first 8…
Q: The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 50,…
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Q: Find the 74th term of the arithmetic sequence –8, 0, 8, ...
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Q: What is the 11th term of the geometric sequence −1.5, −3, −6, −12, ...
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Q: Find the sum of the first 25 terms of the sequence. 46, 8, 10, S25-
A: This question is related to arithmetic progression .
Q: The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 9,…
A: Method -1 First term = 9 Second term = 9× 2 = 18 Third term = 18×2 = 36 Similarly, Fourth term = 36…
Q: Find the sum of the first 15 terms of the arithmetic sequence: 3, 6, 9, 12, .........
A: Given:A.P 3,6,9,12,.....a1=3, a2=6d=a2-a1d=6-3d=3, a=3, n=15Sn=n2[2a+(n-1)d]
Q: The geometric mean between the first two terms in a geometric sequence is 32. If the third term is…
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Q: Find the sum of the first 20 terms of the arithmetic sequence:4, 10, 16, 22, . . . .
A: Given arithmetic sequence is: 4, 10, 16, 22, ..... The first term = a = 4 The common difference:…
Q: Find the sum of the first 13 terms of the arithmetic sequence. 5,9, 13, 17. . What is the sum of the…
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Q: 10. a, = 6, ant1 an
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Q: What is the 103rd term of the sequence -32, -16, 0, 16, ...? O 1,600 O 1,632 O -1, 664 84,048
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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: The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 7,…
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Q: What will be the sum of first 6 terms of he geometric sequence with the first term a1=2 and a2=24
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Q: State the first five terms of the arithmetic sequence tn=5(n)
A: The given nth term of the arithmetic sequence is tn=5(n)
Q: Find the first four terms of the sequence given by the following. a,= 5-(-2)", n=1, 2, 3... %3D
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Q: The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 204,…
A: Here given sequence is 204, 200, 196, . . ., which is an A.P. as difference between consecutive…
Q: Calculate the sum of the first 38 terms in the sequence. 7, 3, - 1, – 5, ... | The sum is
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Q: Find the sum of the first 90 terms of the arithmetic sequence with first term 10 and common…
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Q: : Which term of the sequence 4, 9, 14, 19..... is 124 ?
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Q: The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 9,…
A: We have to find the 46th term of given sequence.
Q: Find the sum of the first 60 terms of the sequence. {2, 10, 18, 26, …}
A: Given sequence is 2, 10, 18, 26.........
Q: The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 2, 6,…
A: Given sequence, 2,6,18,... Recall: Geometric sequence, a, ar, ar2,.... Where, a=first term,…
Q: The first three terms of a sequence are given. Round to the nearest thousandth (if necessary). 7,…
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Q: Find the sum of the first 109 terms of the arithmetic sequence: 3, 7, 11, 15, 19, ..
A: Given : 3, 7, 11, 15, 19…
Q: Find the sum of the first 11 terms of the geometric sequence shown below. 2, 8, 32, 128, . .... The…
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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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Solved in 2 steps
- 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!n
- 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 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+4.1n1.52.4nWhich terms of the sequence are negative when the nth term of the sequence is an=(1)n(n+2)?Find the sum of the first five terms of the sequence with the given general term. an=n
- Determine whether the sum of the infinite series is defined. 24+(12)+6+(3)+What is the procedure for determining whether a sequence is geometric?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.
