Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. (Assume that n begins with 1.) S1 2' 4' 6' 8' 10' {-. an = } 5' 25 125 625 an II
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,
Q: find the first 10 terms of the sequence a^n =1/a^n-1 and a^1 = 6 9th term ______ 10th term ______
A:
Q: create a sequence with five terms based on the given information. An arithmetic sequence with a…
A: Given that the third term of the arithmetic sequence is 8 and the common difference is 5.That is a3…
Q: Find the first 4 terms of the sequence with first term5 and nth term an = an-1 - 2.
A: Given: The first term of the sequence, a1 =5 And the nth term,…
Q: . Determine each arithmetic series. Use the graphing calculator to verify your sum. 9. The sum of…
A: Topic:- sum of AP
Q: the first four terms of the sequence given by the followir a, = 7(2)", n=1, 2, 3... %3D ППП
A:
Q: 2. The third term of an arithmetic sequence is x and a, = 19x + 6. Find the twelfth term. 3. Php…
A: given
Q: Use the formula for the sum of the first n terms of a geometric sequence to solve:A pendulum swings…
A: As per the question, We are given the geometric sequence which the pendulum…
Q: Find the sum of the 1st 17 terms of a geometric sequence with 1st term 6 and common ratio 3
A:
Q: Find the sum of the first 70 terms of the arithmetic sequence with the first term 6 and common…
A:
Q: Write down the first five term of the geometric sequence with has first term of 1 and common…
A:
Q: The first term of a geometric sequence is 8, the second term is 24, & the 3rd term is 72. What is…
A: We have to find the sum of the first 12 terms of the geometric sequence where first term is 8,…
Q: The sequence has eight terms. Evaluate the related series. If your answer includes a negative, enter…
A: Given: The sequence is -3.5,-1.25,1,...,12.25 The sequence is arithmetic where…
Q: Find the thirteenth term of the geometric sequence from the given information. Express the term as…
A:
Q: Find the infinite sum of the geometric sequence with 2 if it exists. 8 6, г a = -
A: The geometric sequence with a=6, r=28
Q: The median of the first five terms of a geometric sequence is 4. The ratio of the first term to the…
A: Let the terms of the GP be a,ar,ar^2,ar^3..
Q: Write an expression that gives the requested sum. The sum of the first 19 terms of the geometric…
A: Sum formula of geometric series is: Where a= first term r= common ratio n=number of terms
Q: What will be the sum of arithemetic sequence with first term a1=1 and second term a2=24
A:
Q: 4 Find the sum of the first 5 terms of a geometric sequence with a = 162 and r = 31 The sum is
A:
Q: Find the sum of the first 36 terms of the arithmetic sequence with first term 5 and 36th term 110.
A: Given first and 36th term is 5 and 110.
Q: You are offered a job with a company at a starting salary of $20 500 per year with yearly increments…
A:
Q: Find the sum of the first 40 terms of the arithmetic sequence with first term 3 and 40th term 120
A: According to question given thatwe have to calculate the first 40 terms sum of the arithmetic…
Q: Find r for the infinite geometric sequence. Determine whether the sum will converge. 4, 8, 16, 32, .…
A:
Q: the 4th term of an arithmetic sequence is 7 and its 7th term is 16, find its 10th term
A:
Q: Find the sum of the first n terms of the geometric sequence with the given values. a, = 320, r= k --…
A: Given: a1=320r=-k2n=10 Also, the sum of first n terms of the geometric sequence for negative value,…
Q: Find the sum of the first 14 terms of the geometric sequence shown below. 2, 6, 18, 54,... ***** The…
A: Given, Geometric sequence 2, 6, 18, 54 .... The objective is to find the sum of the first 14 terms.…
Q: 6. Find the indicated nth term of the geometric sequence. 22th term : 8, 32, 128, ...
A:
Q: Find the sum of the first 14 terms of the geometric sequence shown below. 2, 6, 18, 54, .. The sum…
A: Given that : 2 , 6,18,54,..... By using geometric sequence... r = difference ratio. a = first…
Q: Find the indicated term of the sequence by finding the explicit formula for the nth term. 9. 100th…
A:
Q: What will be the nth term of the geometric sequence with first term a1=4, a2=8 and n = 4
A:
Q: An arithmetic sequence has the 5th term equal to -64 and the 14th term equal to -1. Calculate the…
A:
Q: Find the sum of the first 14 terms of the geometric sequence shown below. 3 , 3, – 12, 48, .. The…
A: The geometric sequence is given by -34, 3, -12, 48,.... To evaluate : The sum of first 14 terms.
Q: The sum of the first five terms of the arithmetic sequence is -5 and the sixth term is -10. The sum…
A:
Q: Find the sum of the first 90 terms of the arithmetic sequence with first term 10 and common…
A:
Q: The arithmetic sequence with a1=5 and d=4 _____,_____,_____,_____
A: Given: a=5,d=4
Q: Find the first term and the common ratio of the geometric sequence. 27 81 6, 9, 2' 4 3 O A. a, = 2 3…
A:
Q: A town has a population of 5000 persons, but is expected to grow by 2% every year. (i) What would…
A: Solution: From the given information, the town has a population of 5000 persons. But it is expected…
Q: The sum of the first eight terms of an arithmetic sequence {an} is 24; thesixth term is 0. Find a…
A:
Q: Find the sum of the first 38 terms of the arithmetic sequence with the first term 4 and the 38th…
A:
Q: Find a formula for the nth term of the sequence where an is calculated directly from n. Image Added…
A: Given a sequence 41,72,106,1324,16120,... We need to find the value of nth term. We will check the…
Q: Find the indicated term of the geometric sequence. 10) 8th term of 1, 10) 11
A:
Q: S20 of the first 20 terms of the arithmetic sequence given by an = 5– 2n.
A: This question can be solve by airthmatic sum formula.
Q: Find the sum of the first 8 terms of the sequence −1, −7, −49, −343, . . . (geometric)
A:
Q: Find the sum of the first 60 terms of the arithmetic sequence with third term 10 and eighth term 25
A: Let, first term is a, And the common difference is d. Sum of first 60 term =(60/2)(2a+59d)…
Q: One statistic says that inflation in the US (on average) has grown by 4% per year since the late…
A: Introduction: Compound interest is interest that is compounded at regular intervals on both…
Q: Find the indicated term of the geometric sequence whose initial term and common ratio are given.…
A: Topic - geometric serquence Note : as per bartleby Guidelines, we are supposed to answer only first…
Q: Find the sum of the first 50 terms of the arithmetic sequence with the first term 10 and the common…
A: The first term of the arithmetic sequence is a=0. The common difference is d=12. The number of term…
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…
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 7 images
- Find a formula for the nth term of the arithmetic sequence whose common difference is 5 and whose first term is 1Find 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.Find the 12th term of the geometric sequence whose first term is 14 and whose common ratio is 1.2.
- Find the twenty-seventh term of a sequence where the first term is 7 and the common difference is 9.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+4.1n1.52.4nWhat happens to the terms an of a sequence when there is a negative factor in the formula that is raised to a power that includes n? What is the term used to describe this phenomenon?