6. Consider the sequence defined by the recursive formula an = 10 - a,-1 with ao = 2 (a) What are the values of az and a4? (b) Determine a closed formula for the sequence.
Q: What is the fourth partial sum of the recursive sequence: a, = (an-1) - 2 The fourth partial sum is
A: a_4= (a_3)^2 -2 This is the fourth partial sum.
Q: 5. What is meant by the index of a term of a sequence?
A:
Q: A town has a population of 5000 persons, but is expected to grow by 2% every year. 1. What would be…
A: Given A town has a population of 5000 persons, but is expected to grow by 2% every year. 1. What…
Q: (4) Find the sum of the sequence in (2) to an infinite number of terms.
A: identify the series
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A:
Q: Find the sum of the finite geometric sequence. E(-3)" - (-3)" – 1 n-1
A:
Q: 2. Find and prove a closed formula for the recursive sequence a, = 3, a, =a-2 %3D
A: Topic = Sequence
Q: 3 if it exists. 8 Find the infinite sum of the geometric sequence with a = - 5, r = |
A:
Q: What is the formula for the arithmetic sequence if the sum of the same sequence is given by sn = 2n…
A:
Q: 11. Given that the 5th and 11th terms of an Arithmetic Sequence are 26 and -16, respectively, what…
A:
Q: the smallest of the terms of the 2 sequence = n - gn-100 when iz is valuable n
A: The given sequence is,Xn=n2-9n-100
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: 2 if it exists. 6 Find the infinite sum of the geometric sequence with a = 3, r = Preview
A: Given a = 3 r = 2/6
Q: What are the first 5 terms of the sequence a₁ = 5₂ a = 2n-a n-1, where
A: We have to apply simple mathematics logic to solve the problem
Q: (a) A town has a population of 5000 persons, but is expected to grow by 2% every year. (i) What…
A: FIND EXPLANATION BELOW
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: Consider the geometric sequence whose nth term is __. This sequence can also be defined recursively…
A: We need a sequence here.
Q: 9 16 2' 3' 25 What is the 30th term of the sequence 4, -- -
A:
Q: The sequence is defined using recursion formula. Write the first four terms of the sequence: a1 = 3…
A: we have been given recursion formula : an = 4an-1 for n ≥ 2 a1 = 3 we have to write the first four…
Q: Find the first four terms of the sequence recursively defined by a1 =3 and an = n + 2an-1.
A: Given, first term of sequence is And terms of sequence recursively define by
Q: explicity. 3) Write out the first three terms of the sequence 3+2n
A:
Q: Example 1: Find the first five terms of the sequence where an = n2 – 3 %3D
A: Given : To find the first five term of the sequence, an = n2 - 3 The first five terms…
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: The sequence is defined using recursion formula. Write the first four terms of the sequence: a1 = 4…
A: The first term is a1 = 4 and an = 2an-1 + 3 for n ≥ 2
Q: (a) A town has a population of 5000 persons, but is expected to grow by 2% every year. (i) What…
A: i) Given: A town has a population of 5000 persons, but is expected to grow by 2% every year. Find…
Q: 7. a) Determine the first 5 terms of the sequence defined by t, = tn-1+ 7,t, = 3,n € N b) Determine…
A: 7. given that
Q: 4. The 1st term of an arithmetic sequence is -168 and every term after the first is 8 more than term…
A:
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: 1. Which is a finite arithmetic sequence?
A:
Q: 5. Find the 6th term of the recursive sequence defined by a₁ = 0, an+1=2a₁ +3.
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Q: 4 if it exists. 8. Find the infinite sum of the geometric sequence with a = 5, r = I.
A: The infinite sum of the geometric sequence with the first term ''a'' and common ratio r is .…
Q: A town has a population of 5000 persons, but is expected to grow by 2% every year. (i) What would…
A:
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.…
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Q: A. what is the 3rd term of the sequence defined by an=(-2n)n? B. What is the sum of the sequence…
A:
Q: Let the arithmetic sequence be defined by the formula un=11+(n - 1) x 6 Apply the concepts of the…
A: An arithmetic sequence is a set of numbers that obey a specific mathematical expression called its…
Q: How many terms must be taken from the sequence (-16, 14, 12, ...) starting from the first term so…
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: Find a closed formula for the sequence with recursive definition An = 2an-1 – an-2 with a1 = 1 and…
A: The closed formula for a sequence is used to define the general term of a sequence. The recursive…
Q: Find a closed formula for the sequence defined recursively by bo = 2, by = 3 and b, = 3b,-1 – 2b,-2…
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Q: Suppose we have the sequence 1, 4, 7, 10, ... Find an explicit formula for the nth term of the…
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Q: 8. Find the first six terms of the recursively defined sequence: a₁ : 0, an = (an-1)² +3
A: topic- sequence and series
Q: Find an explicit formula for the general term an of the sequence. 1, − 1 3 , 1 5 , − 1 7 ,…
A: We have to find the formula of general term.
Q: 4. What are the first five terms of the sequence for a1--2 and an-2an-1+5?
A:
Q: 2) The sum of the first 16 terms of an arithmetic sequence is 212 and the fifth term is 8. a) Find…
A:
Q: Find the first 10 terms of the sequence an 5n + 2. its 9th term is its 10th term is
A: To find the first ten terms of the sequence substitute n=1,2,3,........9,10 in an
Q: a. What would be the population size in 7 years. b. Fund the sum of the first eight terms of the…
A: Given; P0=5000 Rate=2%=0.02 the sum of the first eight terms of the sequence 18,-14,12,.... Formula…
Q: What are the first five terms in the recursive sequence defined by a1=2 a2=3 an=an-2*an-1
A: Given: a1=2, a2=3, an=an-2·an-1 To find first five terms in the given recursive sequence. Solution:…
Q: 1. What is the ninth term of a harmonic sequence if the first three terms are 111 2'6'10 2. Find the…
A: This is the problem of counting and series and finite math.
Q: 4. What are the first five terms of the sequence for a1=-2 and an=2an-1+5?
A:
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- What 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?Find the sum of the first five terms of the sequence with the given general term. an=3n2What is the procedure for determining whether a sequence is geometric?
- 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
- How many terms are in the finite arithmetic sequence 12,20,28,...,172 ?What are the main differences between using a recursive formula and using an explicit formula to describe an arithmetic sequence?Find a formula for the nth term of the geometric sequence 4, 20, 100, . . . .What is the 12th term of the sequence?