Q: Find the sixth term of a geometric sequence whose second term is 3 and whose fourth term is 1/3.…
A: Now dividing equation (2) by equation (1), we get Therefore sixth term is,
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A: an = 3 + (−1)n We need to determine whether the sequence having the nth term is monotonic or not.
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A: We can find the answer as below.
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Q: The first five terms of the sequence tn = 1(1/3)n-1 are: If necessary, express terms as improper…
A: We can find the required terms as below.
Q: write first five rerms of the geometríc sequence with a, = 80 and akt1 =
A: We find the first five terms of the geometric sequence with the help of a1 = 80 and ak+1 =…
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A: Topic:- sum of GP
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Q: 7. What is the 10th term of the sequence defined by a, = 5p³q² and an = O an-1?
A:
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A: To find The nth term of the given sequence
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A: The 'nth' term of a sequence is a formula with 'n' in it which enables the evaluation of any term of…
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A:
Q: find a formula for the nth term of the sequence. 1, 5, 9, 13, 17,...
A: 1, 5, 9, 13, 17,........ Clearly it is an arithmetic sequence with
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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A: The given sequence is an = (-1)n (2n)
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A:
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A: Gp
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A: *to find:- value of the 32nd term in Arithmetic Sequence.
Q: Find the first 4 terms of the sequence with first term2 and nth term an = 2an-1 + 3.
A: Our Aim is to find the first 4 terms of the sequence with first term and nth term an=2an-1+3
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A: Let general term of sequence an.
Q: Find the nth term of a sequence whose first several terms are given. 2, 5/4, 8/9, 11/16, 14/25
A:
Q: tnd the first four terms and the 10oth term OR the Sequence Whose nsth tem is given
A: Given : an = -15n
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A:
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A: 4, -8, 64/3, -64, 1024/5, -2048/3
Q: Find the infinite sum of the geometric sequence with a = 6, r = if it exists. %3D %3D
A:
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A: Given : 3, 7, 11, 15, 19…
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A:
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A:
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- Find the sum of the first five terms of the sequence with the given general term. an=2nFollow 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!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+4.1n1.52.4nFind a formula for the nth term of the geometric sequence 4, 20, 100, . . . .What is the 12th term of the sequence?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.
- The second term of a geometric sequence is 14, and the sixth term is 224. Find the nth term. (Assume that the terms of the sequence are positive.)The second term of a geometric sequence is 6, and the fifth term is 81/4. Find the eighth term. (Assume that the terms of the sequence are positive.)At which term does the sequence 10,12,14.4,17.28,... exceed 100?
