25. Write the nth term of the sequence 2, 8/3, 32/9, 128/27... as a function of n.
Q: Suppose we have the sequence 5, 5/9, 5/81, 5/729, ... Find an explicit formula for the nth term of…
A: Given Data: Sequence: 5, 5/9, 5/81, 5/729 Check common ratio for a geometric sequence. The common…
Q: Determine whether sequence having the given nth term is monotonic an = 3 + (−1)n
A: an = 3 + (−1)n We need to determine whether the sequence having the nth term is monotonic or not.
Q: 4. Find the 52nd term of the arithmetic sequence: 3, 7, 11, 15, ...
A: To find The 52nd term in arithmetic sequence 3,7,11,15,....
Q: Find two different explicit formulas for the sequence {1, -2, 3, -4, -5, ⋅ ⋅ ⋅}.
A:
Q: 1. Find the sum of the following infinite sequence: 40, 20, 10, …
A: A detailed solution is given below.
Q: What is the function that defines the following sequence?10,12,14,16,18
A: given sequence:- 10, 12, 14, 16, 18 This is an arithmetic sequence since there is a common…
Q: What is the 46th term in the arithmetic sequence –1.5, –1.3, –1.1, -0.9, .?
A: we have to find out the 46th term
Q: Find the first five terms of the sequence recursively defined as the function with . a. –13, –16,…
A: This is a problem related to series and sum calculation. As per bartleby policy we can answer only…
Q: Find the 15th term of the following sequence. {64, 16, 4, 1, .}
A:
Q: 2) Find the sum of the first 100 terms of the arithmetic sequence: 2, 4, 6, 8, 10, 12, ...
A: The arithmetic sequence: 2,4,6,8,10,12,.......
Q: The sum of the first 20 terms of the sequence O.7,0.77, 0.777,.. is
A: We have to find the sum of first 20 terms of the sequence: 0.7, 0.77, 0.777, ..... Assuming the…
Q: What is the 46th term in the arithmetic sequence –1.5, –1.3, –1.1, -0.9, ...?
A:
Q: 4. What is the fourth term in the sequence defined as: a1 126 and an 3(an-1) - 5 %3D %3D
A: A sequence is a function which domain being the set of natural numbers and the range being the set…
Q: Calculate the first 5 terms of the sequence an = Factions and as decimals to 3dp. (1+)", expressing…
A:
Q: find a formula for the nth term of the sequence. 0, 1, 1, 2, 2, 3, 3, 4,...
A:
Q: What are the initial term and a recursive formula for this sequence: 4, 7, 10, 13, ......
A: The given sequence is 4,7,10,13,... the common difference is 7-4=3,10-7=3,... therefore, the common…
Q: 8. Find the number of terms of the finite arithmetic sequence {7, 16, 25, 34, ...,574}. Make sure to…
A: Explained below
Q: 2. The missing term of the geometric sequence 45, [ ],1620, . is ...
A:
Q: What are the first 5 terms of the sequence a_ =2n – a 'n - 1, where “, =5,
A:
Q: What is the 7th term of the geometric sequence defined by the rulean = -3(2)^n-1 ?
A: What is the 7th term of the geometric sequence
Q: What are the first 5 terms in the sequence an = 2n + 8 O 2, 10, 18, 26, 34 O 10, 12, 14, 16, 18 О 8,…
A: Given an=2n+8.
Q: 9 16 2' 3' 25 What is the 30th term of the sequence 4, -- -
A:
Q: 3. Find two possible next terms of a sequence 2, 8, 9,17 that is neither geometric nor www…
A: Given the sequence 2,8,9and 17. We need to find the 2 possible next terms of a sequence.
Q: What is the 8th term of the geometric sequence 48, 24, 12, 6, 3, ...
A:
Q: () What will be the 7th term in the sequence defined by gn = 2 · n-1 Enter your answer as a…
A:
Q: nth term for n = − 5+(n-1)14, where n is a positive integer. What is the value of the tenth term in…
A: we put n=10 in given sequence and find 10th term .see 2nd step.
Q: 2.) Write the general formula for un for the arithmetic sequence 12, 4, –4, –12, ...
A:
Q: Suppose that the sequence {ax} is =0 2, 4, 6, 8, 10, 12, 14, 16, .. What is a1?
A: The given sequence {ak}k=0∞ is - {ak}k=0∞ = 2,4,6,8,10,12,14,16,18,......... The first tern of the…
Q: What are the first 5 terms of the sequence represented by а %3D 2n - За 'n – 1, where ", =4,
A:
Q: What is the sum of the first 13 terms of the given geometric sequence: 1,2,4,8,16,
A: To solve this problem, we use the result of the sum of geometric sequence.
Q: 5. What is the 100th term of the arithmetic sequence 8, 12, 16, 20...? * 108 O 396 O 404 O 408
A:
Q: 1. Which is a finite arithmetic sequence?
A:
Q: Determine the formula for the nth term of the sequence 2,7,12,17,22?
A:
Q: Give the 10th term of the following sequence: 1, 4, 7, 10
A:
Q: (2) Identify the next likely term in the sequence and the type of sequence: 5000, 2000, 800, 320,…
A: 2. The required sequence can be solved as below
Q: Find the eigth term of a sequence 3,6,12
A:
Q: What is the n^th term of the following sequence 1,4,7,10
A:
Q: What is the 10th term in this sequence: 1, 3, 9, 27,...
A: Given, The sequence is 1 , 3 , 9 , 27 ,.....We know that, The general term of G.P…
Q: Find the 21th term of the given sequence 2, 1, 1/2, 1/4, 1/8…
A:
Q: Consider the following sequence: 3,9,15,21,... Find the 50th term of this sequence.
A: This is an arithmetic sequence with the common difference =d= 9-3=6 And the first term = a_1= 3
Q: Find the sum of the first 8 terms of the geometric sequence. 139 9 27 27 81 - - - + 2 2 2 O A. 2…
A:
Q: Show that the sequence too n! 217 is eventually strictly increasing or eventually strictly…
A: The given sequence is n!21nn=1∞ Eventually strictly increasing sequence : A sequence is said to be…
Q: 1.) Show that the sequence 2,11, 20, 29, ... is arithmetic.
A: we have to show that the given sequence is arithmetic
Q: 2. Write the first five terms of the sequence given by Un= on 3n2 -1
A:
Q: 1. Find the value of the 11th term in the sequence 2, 6, 18, 54, ...
A: Topic = Sequence
Q: What is the general formula for the nth term of the sequence –4, 1, 8, 17, 28, ...?
A: To determine the general formula for the nth term of the following sequence. –4, 1, 8, 17, 28, ...…
Q: Which sequence could described by the explicit definition: t, = 2· n - 3? {5, 7, 11, 19, 35, ...} O…
A: Given, tn=2·n-3we have to tell which sequence could described by the explicit definition:
Q: 2. Write a recursive definition for the sequence 14, 10, 6, 2,... Oaj = 14, an = an-1+4 %3D Oa = 2,…
A: To write a recursive defintion for the sequence 14, 10, 6, 2, ...
Q: What are the first three terms of the sequence given that the nth-term formula is an=n/(n+1).
A: Given, nth-term of sequence is an=nn+1 find first three terms of the sequence-
Q: Find the indicated term of following sequence 1,1,-3,5,-7,9 ,---------a10 1,3,12,60---------a6
A: In this problem, we have to identify the relationship between the successive terms of the series to…
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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 1How many terms are in the finite arithmetic sequence 12,20,28,...,172 ?