3. Find the 7th term of the sequence represented by the nth term below: " An = 3n + 4 d. 27 c. 25 a. 21 b. 24
Q: The general term of the sequence is 2 -1 2 -1 2. - 1층글룸금.... 25 3 an = (-1)"+¹ ²1, n ≥ 1 (−1)²+12 n
A: Given :an=-1n+12n
Q: What is the common ratio of the following geometric sequence? 27, 9, 3, 1, .. O 27 6. O 3 O 1/3
A: Remark: The general form of a geometric sequence is a, ar, ar2, ar3, ... where a is the first term…
Q: 5. The sum of the first n terms of a sequence is called the nth sum and is denoted by S.
A: An arithmetic sequence is a series of numbers that have the same common difference and the sum of…
Q: Find a formula for the general term an of the sequence (starting with a1):…
A: Consider the given sequence,-3/2, -1/6, 1/12, 3/20, 5/30,…The above term of the sequence is also…
Q: The first term of a geometric sequence is 8 and the fourth term is 216. What is the sum of the first…
A: Given: In a Geometric series (GS), First term a1=a=8 Fourth term a4=216 To find: Sum of first 12…
Q: c) Write the explicit formula for the nth term of the sequence below. 5 3 3, 2, 2' 5' 3 7 4 ....
A: Explicit formula for sequence problem.....
Q: Find the first four terms of the sequence given by the following. a=57-7(n-1), n=1,2, 3...
A:
Q: (a) The nth term of a sequence is Un. The sequen
A: Introduction: 1: the sequence in which things are or should be linked, related, or dated Follow the…
Q: Given the sequence defined by b n= (−1) n-1n, which terms are positive and which are negative?
A:
Q: 8. Give the first 3 terms of the following geometric sequence and the n" term, a. a. a=4 andr 2 d. a…
A: Here given that a=4 and r=2 We have to find the first 3 terms of the…
Q: Find a formula for the nth term of the sequence in terms of n. 2 2? 23 24 12' 15' 18' 21' 24 1 an =…
A:
Q: 26. Write the third, fourth and-fifth terms of the sequence whose nth term is given by the following…
A:
Q: Show that the given sequence is geometric, and find the common ratio.
A: Explanation: A geometric progression is a sequence of non-zero terms in which ratio of any term and…
Q: Find the fifth term and the nth term of the geometric sequence whose initial term, a, and common…
A:
Q: S) Predict the nth term of the sequence, given the first five terms. a1 = 2, az = 5, az = 10, a4 =…
A: Given: first 5 terms area1=2; a2=5; a3=10; a4=17; a5=26
Q: Find the first four terms of the sequence given by the following. (-1)"*1 an п3D 1, 2, 3, ... %3D…
A: We have to find first four terms of the given sequence.
Q: Find the first five terms of the following sequence, starting with n = = 1. Cn n2 – 3 Give your…
A: Given,
Q: Find a formula for the nth term of the sequence in terms of n. 3² 3³ 34 1 3 3 - 4' 6 8 " 10 " 12
A:
Q: calculate the first four terms of the sequence, startingwith n = 1.bn = (2n − 1)!/n!
A: The given sequence is, bn=2n-1!n! The objective is to calculate the first four terms of the…
Q: Find a formula for the nth term of the sequence in terms of n. 1 2 22 23 24 9' 12' 15 18' 21 ** ...…
A: Try to observe the pattern in numerator and denominator separately.
Q: Given the nth-term formula below, compute the first five terms of the sequence: in an = n= 1,2,3,…
A:
Q: (c) The sum of the first 12 terms of a geometric sequence is 6144. If the common ratio is 2, find…
A:
Q: 03. What is the third term of a sequence given the explicit formula? аn 3 —5 + 2(п — 1) А. -5 В. -3…
A:
Q: Find the sum Sn of the arithmetic sequence that satisfies the stated conditions.
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: The third term of a geometric sequence is 9, and the common ratio is 3/2 . Find the fifth term.
A: nth term of a geometric sequence an = arn-1 a3 = 9 r = 3/2
Q: 1. What is the 16th term of each sequence shown below. a) 2, 10, 18, ...
A: a. 2,10,18,.... To find the 16th term.
Q: Find a formula for the nth term of the sequence in terms of n. 2 22 23 24 15 20' 25 30' 35 1 an for…
A:
Q: Find the sum to infinity of the geometric sequence given below 1. 12, 4. .. .... 2. 900, 9, 0.09,...…
A: 1): Hera1=12a2=4a3=34This is not a geometric progression as a1a2 and a2a3 are not equal.SO, it is…
Q: 5. The third term of an arithmetic sequence is 28, while the fourth term is 41. Write the sum of the…
A: Given: Third term of arithmetic sequence =28 fourth term =41 To find : Sum of…
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: 1) Find the first five terms of the sequence as well as the 30th term of a, = 2n
A: Since there are multiple questions the first questions is answered as per our guidelines. kindly…
Q: Given the geometric sequence: 2, 6, 18, 54, 112, . What is the common ratio and what is the 13th…
A:
Q: 9. Find the sum of the first 20 terms of the geometric sequence 2,6,18,.... A. 3,486,784,400 B.…
A: The series a geometric series. We can easily solve using formula for sum of geometric series
Q: 13.What is the 3rd term of the sequence defined by an = (-2n)", %3D O A. 216 о в. 276 O C.-216 O D.…
A:
Q: both questions
A:
Q: 1 n(n+1)
A:
Q: = (-1)"/(n³). Write the first five terms of the sequence whose nth term is a, a, = a2 az = as
A: Solution is given below:
Q: What is the first term of the geometric sequence presented in the table below? 7 an 176 704 Hint: an…
A: Given query is to find the first term of the sequence.
Q: Given the sum of the first 6 terms of a geometric sequence is 27,342 and the common ratio is 5,…
A: Sum of first 6 terms of a geometric sequence is 27342 and common ratio is 5 we have to determine the…
Q: If the explicit nth term formula for the given sequence is an = 2n2 + bn +c, then b= and c= 5, 10,…
A: Plugging n=1, an=2n2+bn+ca1=212+b1+c5=2+b+cb+c=3 Plugging n=2, an=2n2+bn+ca2=222+b2+c10=8+2b+c2b+c=2
Q: {1· 2·3 ... n} а. 143 O b. 135 с. 153 d. 134
A:
Q: Find a formula for the nth term of the sequence in terms of n. 3 32 33 34 8' 10' 12' 14' 16 1
A: We have to find the formula for the nth term of the sequence in terms of n.…
Q: Determine the common ratio r, the fifth term, and the nth term of the geometric sequence. 1, s2/9,…
A:
Q: Find a formula for the nth term of the sequence in terms of n. 1 3 32 33 34 4' 6' 8' 10' 12 an = |…
A:
Q: 42. Find the second, fourth, and eleventh terms of the sequence described by: A(n) = 9 + (n - 1) (3)
A: The given sequence is, An=9+n-13 The second term is n=2 A2=9+2-13=9+3=12
Q: B. Find the nth term of the sequence, then find the 2oth term. 5. 5. -6, -4,-2,..
A: Solution..
Q: Find the n th term a of a sequence whose first four terms are given. 5 6. 7 8 - ... 11 22 33 44'
A:
Q: <th For a given arithmetic sequence, the 6 term, a, is equal to 26, and the 35 term, azs, is equal…
A: Let a be first term of A.P. And, d be the common difference, then
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- 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
