3. The third term in the sequence defined by t = 5, t, = t-1+8 is 21 С. 5 d. 29 a. b. 13
Q: A sequence is said to be decreasing sequence if Vn > 1 'n+1°n =S .a .b O n+1 2n.cO n+1 n+1d0 n
A: Option (d) is correct.
Q: 5. The sum of the first n terms of a sequence is called the nth sum and is denoted by S.
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A:
Q: The third term in the sequence with a=4 and a = a + 3n wheren>1 is %3D O 22 0 4 O 13 O 10 O 19
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Q: Which explicit formula describes the geometric sequence {1/3,1/9,1/27, 1/81…}? A. an= 1/3 (3)^n-1…
A: Given sequence is: 13,19,127,181, ...
Q: 1. Find these terms of the sequence (a,), where a, = 2 (-3y"+5". %3D b) a c) as d) as a) do
A: .
Q: 13. Solve for x & y if the given sequence is arithmetic 2х + 5y, 2y, 3х + 2, 4x — Зу
A: Given- 2x+5y,2y,3x+2,4x-3y To Find- The value of x and y if the above sequence is arithmetic.
Q: 30. Find the sum S20 of the first 20 terms of the arithmetic sequence given by an = 5 – 2n.
A:
Q: Find a formula for the nth term of the sequence. 2) 0, 2, 0, 2, 0 (alternating 0's and 2's) A) an =…
A: Option C is correct. Checking options we get that for nth term series in option C is correct. Put…
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A: Given, an=3n1+4n
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A: The given question can be solved as shown in step2
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A:
Q: calculate the first four terms of the sequence, startingwith n = 1. bn = 5 + cos πn
A:
Q: As n increases, the terms of the sequence:get closer and closer to the number e (where e ≈…
A: Substitute 10 for n in the expression to calculate the value of a10.
Q: 4. (a) If (Cn)1 is the sequence Cn := ntn-2, compute lim,,0 Cn, sup{cn :n E N}, n2 and inf{cn : n e…
A:
Q: The first 4 terms in the sequence defined by the formula a; (-1)*+1 5 for i >1 a2= az = a4 =
A:
Q: Find an explicit formula for a sequence of the form a,, az, a3 with the initial terms given below.…
A: To find An explicit formula for a sequence of the form with the given initial terms.
Q: Find the sum of the first 10 terms of the geometric sequence defined explicity as: а, — 5 х 2n-1 O…
A: Option B is correct. Detail solution written below.
Q: n2 is, 3n-1 th The 4" term of a sequence whose nth term an= - 16 Od. 11 9 16 None a. 8 Ob. 11 Oc.
A: We have to find 4th term of a sequence whose nth term is given as: an=-1n+1n23n-1 To find 4th term…
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A: In the question we have to find the value of r.
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A:
Q: Choose the correct statement(s) for given sequence 2n an n2 +1
A: a sequence is converges if limn→∞ n = finite
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A:
Q: B. Find the first three terms of each sequence using the given rule. 1. a = 2 and an= an-1+3, for…
A:
Q: Find first 5 terms of the following sequence: {an} given by a, = (-1)" („ 3n-2 n2-2n+3 99 Evaluate:…
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A:
Q: 1. For each of the following sequences, write down the first 4 terms of the sequence (an). (a) (급),…
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Q: 5. a; = 9 and an= 3an-1-1, for n> 1
A: Topic :- Sequence and series First three terms 26,77,230,.......
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A: Topic:- sequence and series Given Sequence is an=-1n.2n2.
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A: In the question it is asked to solve for the general term of the sequence given in question.
Q: If t_n=3.5n+4.5, find t_1 ,t_10 and t_n+1-t_n. Is 85 a term of this sequence
A:
Q: 1 n(n+1)
A:
Q: For the sequence defined by s, = E(? – i), complete the first three rows of the difference table i=1…
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Q: Find a, and a, for the following geometric sequence. az = - 6, r=3 a, =0
A:
Q: Find the explicit formula for each of following sequence: a) -31, -14, 3, 20, 37, 54, ... b) 1/5,…
A: Definition of Explicit formula: An explicit formula directly calculates the term in the…
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A: What is d??
Q: Find a formula for the nth term of the sequence where a, is calculated directly from n. 6 8 10 12 14…
A: Solution: Here, we have the numerator as 6, 8, 10, 12, 14 ....
Q: Find a formula for the nth term of the sequence where a, is calculated directly from n. 1 3 5 7 1'…
A:
Q: The general term of sequence I,Ź stanting by n =D0 is
A: By taking limit from n=0 to 3
Q: 7. Find the first five terms of the sequence defined by each of these recurre a) an = 6an-1, a0 = 2…
A: Introduction: A recurrence relation is a formula that describes a series based on a rule that…
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A:
Q: Find an explicit formula for a sequence of the form a a2, a3 with the initial terms given below. ...…
A:
Q: 16. For what value of n is the following sequence A". If c = 2, find Co. %3D Cn = 2,4,10,23,46,82,…
A:
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- Determine whether the sum of the infinite series is defined. 24+(12)+6+(3)+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.Find the sum of the first five terms of the sequence with the given general term. an=2n+1
- How many terms must be added before the series 1357.... has a sum less than -75?Use the formula for the sum of the first nterms of a geometric series to find S9 , for the series 12,6,3,32,...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!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
