Question 2. Simplity the following sums, i.e, find expressions that give their values in terms of n with no , i.e., find expressions that give their values in terms of n with no explicit summation. Part A. ー1 Part B. 6i2+ 2 i-2

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: The limit of the sequence an = (1+±)" is: 3n) (a) – e3 (b) oG) (c) e-3 (d) eG) (e) None)

A: The given sequence is: an=1+13n-n

Q: 3. Σ (i-1) and Σ -k). | k=1

A:

Q: (2) The fourth term is 12 and the seventh term is. Find the first and nth terms.. (3) A partial sum…

A: We solve 1st and 2nd question by arithmetic sequence formula. And 3rd question is by matrix…

Q: Question #4: Here are some values of sequence Q. Write a recursive definition for the sequence. n…

A:

Q: Vrite the sum using summation notation. Use k as the index of summation. 7 8 - + 8 9 n+5 6+ + 27 64…

A: Topic:- algebra

Q: Use the difference an+1 – an to show that the sequence {n – 2"}n=1 +o0 is strictly increasing or…

A:

Q: 1 The sequence an 2n + 3 (a)decresing (b) increasing (c)not monotonic a b C

A:

Q: (3) A partial sum of an arithmetic sequence is given. Find the sum. 89 + 85 + 81 +...+ 13 [1 3 2] [1…

A:

Q: Question Suppose the following sums are given. 120 120 2 a; = -2 2 a; = -19 i=1 i=44 Compute 43…

A: We have to find sum

Q: 1 ;, n > 3. n vIn n Let an Show that the sequence {an}-3 is decreasing.

A:

Q: Question 003: Complete the following questions involving the Partial Sum. Given the following…

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Q: Q\ Find the infimum and supremum of the sequence (a„)nen = (n(1 +(-1)") + n='((-1)" – 1). nƐN

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Q: A. Write the first five terms of the sequence. n +3 1. An = 3. an = 4n – 3 n 2. an = 2n -1 B. Find…

A:

Q: Question 4 Evaluate the sum. E 2-7 k 1

A: The objective is to evaluate the sum.

Q: Question 001: Complete the following questions involving the Partial Sum. Given the following…

A: Partial sum

Q: 1 The sequence an = 2n + 3 (a)decresing (b) increasing (c)not monotonic a b

A: Given an=1/(2n+3)

Q: 3 3 3 3. Which of the following formulas properly describes the sequence 3, 2 4 (1) a, = 3+2" (3) an…

A:

Q: 1 1 3 9 27 th Find a formula for the n" term of the sequence 3 2 4 8' 16

A:

Q: Question 1/ Suppose you make deposits into an investment account. These deposits occur in a sequence…

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Q: 2. Determine the value of the first term and write a recursive definition for the following…

A:

Q: 01. Which sequence has a common ratio of 2/3? A. a, = 910(m-1) D. f(n) =+ 10(n – 1) B. f(n) =…

A: we have to find a sequence among following with common ratio 2/3.

Q: evalute the sum  picutre of problem below  help

A: It is required to calculate the sum of the series:

Q: Question 8 > 5 i – 1 Σ Find 3 i=1 First write out the summation: Find the answer: 2)

A: Here the provided the equation as :…

Q: Question 1 Suppose you make deposits into an investment account. These deposits occur in a sequence…

A:

Q: table below. 15 16 t 12 13 14 f(t) 12 16 17 21 24

A:

Q: A partial sum of an arithmetic sequence is given. Find the sum. 18 2 (4 + 0.24k) k = 0

A:

Q: QUICK CHECK 2 Which of the following sums are not geometric sums? 10 /1\k a. > 1 b. E 20 k=0 k=0 k…

A: a)ak=∑k=01012k Now the terms are, Put k=0, a0=120=1 put k=1, a1=121=12 Put k=2, a2=122 And so on,…

Q: Write an explicit formula for the sequence: 1 1 9' 10 1 1 11' 12' 1 1 13 an = Preview

A:

Q: Question 008: Complete the following questions involving the Partial Sum. Given the following…

A: First I am going to calculate the terms in the given sequence and after using this we get the…

Q: se the difference an+1 - an to show that the sequence {n-9"} n=1 s strictly increasing or strictly…

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Q: Question A. Write out the terms of the given sequence. 4. an = n! 1 2 an = (-1)" n+1

A:

Q: es A sequence is given by the recursive definition an = an-1 +3, ao = 2. a) Find aj,az, аз- b) Find…

A:

Q: Sequence A Sequence B 4 Value 10 Term Number Value 1 1. 4. -4 2. -2 3 -1 Term Number -2 -1 6. 9 10…

A:

Q: B. Given the nth term an find the first five terms of each sequence. 1. an = n- 3/2n + 1 2. a, =…

A: The objective of the question is determine first five terms of the given sequences.

Q: A partial sum of an arithmetic sequence is given. Find the sum. 14 E (3 + 0.26k) k = 0 S =

A: We need to find sum of sequence.

Q: W QUESTION 1 Given the sequence fn(x)= - 1+n?x2

A:

Q: A sequence is said to be decreasing sequence if Vn 21 ....... 'n+1 .a O .b O n+ 1 n Sn+12n.c O O p…

A: We need to find condition in which a sequence is said to be decreasing. The answer to the question…

Q: Use the difference an+1 a, to show that the sequence {n - 3"+∞ Sn=1 is strictly increasing or…

A: Calculus  mathematics sequence

Q: The sequence a, 2n + 3 (a)decresing (b) inereasing (e)not monotonie

A:

Q: A sequence is defined recursively as sk = Sk-1 + 3k for k > 2. %3D S1 = 4

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Q: (n + 2)! Write down the first five terms of the sequence an 2" a, = %3D d2 = az = %3D a5 %3D 2…

A:

Q: 1. A sequence is defined by the recursive rule c, =c, 2" with c, =5. Which of the following…

A: Given a sequence:    cn=cn-1.2n-1          and c1=5

Q: Question F. Write a formula that produces the given terms of the sequence. 1 aj = 1, az = 1 1 a5 1 1…

A:

Q: A sequence is said to be an increasing sequence if .... Vn 21 .a O n+1" n S =SbO n+1 n+128.cO 2n.dO…

A: sequence (an) is: strictly increasing if, for all n, an < an+1; increasing if, for all n, an ≤…

Q: The sequence an = {nn} is eventually decreasing %3D Select one: O True O False

A: We call the sequence decreasing if an >an+1 for every n.   an = n1/n an+1 = (n+1)1/n+1   n1/n…

Q: -1 The sequence an 2n + 3 (a)decresing (b) increasing (c)not monotonic a O b O c O C

A:

Q: The sequence given is defined using a recursion formula. Write the first four terms of the sequence.…

A: We will find out the required terms.

Q: Question 3: Generate the first 100 terms in the sequence a(n) with p = 2.2 and a(1) = 0.4: a(n + 1)…

A: n = 100; a = zeros(1,n); p = 2.2 a(1) = 0.4 for c = 2:100 a(c) = p * a(c-1) * (1 - a(c-1)) end

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.