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: For the sequence 1, 4, 7, 10, .. . its nth term is
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Q: Find the formula (nth term) of the sequence -2, 4, -8, 16, -32, .. O an = n? + 6 an = (n-5)/4 %3D O…
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Q: For the sequence defined by: a1 = 2 5 - 1 an+1 = Find: a2 az = a4 =
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Q: Find the first four terms of the sequence given by the following. an = 38 - 7 (n-1), n= 1, 2, 3
A: Given an= 38-7(n-1)
Q: For the sequence defined by: a1 2 4 - 1 an An +1 Find: a2 аз — A4 =
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Q: Find the first six terms of the following sequence. an = -2 – 7(-1)", for n > 1. %3D
A: To solve this problem we need to have an understanding about the powers of -1.
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Q: For the sequence defined by: 4 +4 An An +1 Find: a2 %3D a3 %3D
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Q: Find a and az for the geometric sequence 6, a2, аз, —162,
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Q: For the sequence defined by: a1 = 2 1 + 2 an an +1 Find: %3D a4 -
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Q: Write the first six terms of the sequence given by a1 = 2; an+1= n+3 n+2 an: and then give…
A: We have to find the nth term
Q: Find S, for the following geometric sequences: 4,-20, 100...
A: We can find the required answer as below.
Q: Find az and a, for the arithmetic sequence. a =X, a2 = X+ 3 ay =L
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Q: Find in the sequence 3, 7, 11, x... with y as its 9th term. a. b. C. d. е. 11
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Q: Find a formula for the sequence
A: In this question, we have to solve the third-order difference equation in general form and then…
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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: For each sequence, find a closed formula for the general term, an. 1. −2,−8,−18,−32,−50,…,an=
A: Given:The given sequence is
Q: Find the sum Sn of the arithmetic sequence that satisfies the stated conditions.a1 = 5, d = 0.1, n =…
A: Given: a1 = 5, d=0.1, n=40 Formula to be used: Sn = n22a1+(n-1)d Where,…
Q: Find a formula for the general term an of the sequence 5 3 4 16 25 where a1 3 16 1* 36 49 , •.. an
A: The given sequence, -316, 425,-536,649,.......
Q: Use the common ratio to calculate the next 3 terms for the sequence: 2,4,8,16
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Q: Find a, and a7 for the following geometric sequence. a = 108, r= -3 %3D %3D in- 1
A: Given: a4=108 r=-3
Q: For each sequence, determine whether it appears If it does, find the common difference.
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Q: Find the 12th term of the sequence given: a.) arithmetic, t3 = 5, t6 =-1 %3D b.) geometric, t3 = 12,…
A: In this question we have to find the 12th terms of arithmetic and geometric sequence.
Q: Find the common ratio and S, for geometric sequence 27, 9, 3.
A: To find the common ratio and S5 for a given geometric sequence
Q: For the sequence defined by: a1 =3 4 an+1= an 3D3 +1 Find: a2 = a3 =
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Q: For the sequence defined by: Find: a2=39
A: Given : a1 = 3 an+1 = (5 / an ) + 4 Find : a2 , a3 , a4
Q: Find the fifth term and the nth term of the geometric sequence whose initial term a, and common…
A: To find the fifth term and nth term of the sequence whose first term and the common ratio is given.
Q: Find the a, of the geometric sequence 5 O x^7/y^20 O x^6/y^10 O Option 1 O x^5/y^8 O x^12/y^15
A: Here we have to find term of geometric sequence.
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: Determine the first five terms of the sequences whose general term is given by the following…
A: We have to find five terms of problems (a) and (b).
Q: Find S, for the following geometric sequences 79 4,-20, 100... Answer: S,
A: The common ration of the sequence is, r=-204=-5r=100-20=-5
Q: List the first 5 terms of the sequence below. 2 3n a, = (-1)" - for n > 0 for n 20
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Q: Write the first four terms of the sequence defined by the formula. k for every integer k 2 1. ak= 1.…
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Q: Find the sum Sn of the arithmetic sequence that satisfies the stated conditions.a1 = 40, d = -3, n =…
A: Formula to find the sum of arithmetic series helps to find the required sum. Formula to find the…
Q: Find the first four terms of the sequence given by the following. a,= 32+(n-1)-6, n=1,2, 3...
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Q: For each sequence, find a closed formula for the general term, an. 0,3,8,15,24,…,an=
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Q: Find the first four terms of the sequence given by the following. a, =2(3)"', n=1, 2, 3.
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Q: For the sequence defined by: a1 = 2 1 +5 Find: a3
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Q: The nth term of the sequence is given by the formula an =_______ , where a1 is the______ and r is…
A: To determine: The missing terms of the statement "The nth term of the sequence is given by the…
Q: Find a, and r for the following geometric sequence. a2 = - 5, a5 = - 135 a, = r=
A: given: a2=-5 and a5=-135 we have to find a1 and r for the geometric sequence.
Q: Find as for the sequence defined by an 2ап-1 + 3, ао :1 (A) 11 (В) 29 (C) 61 (D) 17
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Q: Find the formula of the general term an of the sequence: 1 1 1 1 9' רי 5' 3 ....
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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 sequence defined below, find the term a 4 ao = 1, a1= 4, an=2an-1-an– 2
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Q: Write the first four terms of the sequence defined by the formula. 7-j for every integer j > 1. b; =…
A: We have to find the terms of the given series which we can find out by putting the values in the…
Q: Find the first four terms of the sequence given by the following. a, = 42-8(n-1), n=1, 2, 3...
A: Given sequence is an=42−8n−1, n=1,2,3,...... We have to find the first four terms of the sequence.…
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- At which term does the sequence 10,12,14.4,17.28,... exceed 100?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!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 arithmetic sequence whose common difference is 5 and whose first term is 1Write the first four terms of the sequence defined by the explicit formula a an=10n+3 .
