The sequence of positive whole number is given such that a1< az and an+2=an+1+an for n 1. If a7=120 find ag

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Q: A sequence ao, a1, a2, ... satisfies an = n· an-1+(-1)" for n > 1. If a5 = 44, then az %3D %3D…

A: We have a sequence, an = n · an-1 + (-1)n  ,  n ≥ 1 We have ,  a5 = 44 we need to find ,  a3 Now,…

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Q: Give the first three terms of each sequence based on the given a1=4,         r=-2         _____,…

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Q: The sequence of positive whole number is given such that a1 1. If a7=120 find as

A: Given series is called Fibonacci series, where sum of next term is sum of earlier two terms.

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Q: The sum of three integers in an AP is 15 and their product is 80, the three integers for the…

A: Given that  The sum aid the three terms are in ap is 15 And product is 80 To find the first three…

Q: If an+1 4a, is the difference equation for a sequence which begins with ao = 2 then what are each of…

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Q: What would be the 31 st term of the sequence x2, x, 1 А. х28 1 В. x26 C. x28 1 D. x33

A: A geometric progression, also known as a geometric sequence, is a sequence of non-zero numbers where…

Q: Suppose Suppose a, = 3n? – 3n – 3. Find a closed formula for the sequence of differences by…

A: Given, an = 3n2 -3n +3  We have to find an-an-1

Q: The sequence is defined using recursion formula. Write the first four terms of the sequence: a1 = 12…

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Q: A sequence ao, a1, a2, .. .satisfies an = n an-1+(-1)" for n > 1. If a5 = 44, then az %3D

A: Since, a sequence a0,a1,a2,..... satisfies an=n.an-1+(-1)n-(i) for n≥1.Ifa5=44. Our Aim is to find…

Q: A sequence of numbers a1, a2, a3, ... is defined by = 3 ап+1 An -2 -3 пEN An 100 Find ar r=1

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Q: Find the erplicit formula for the sequence 25, 5, 1, ,.

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Q: Find the first six terms of the sequence. a1 = -3, an = an-1 + 8 %3D

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Q: The sequence is defined using recursion formulas. Write the first four terms of the sequence.a1 = 4…

A: Given recursion formula, an=2an-1+3 for n≥2 a1=4

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

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Q: Suppose ao, a1, a2,... is a sequence such that ao = a1 = 1 and forn2 1, an+1 = n(an+an-1). Find az =…

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Q: The sequence is defined using recursion formulas. Write the first four terms of the sequence.a1 = 12…

A: Given: an=an-1+4, a1=12 For finding first four terms of given sequence, we put n=2,3,4,5 in given…

Q: A sequence has nth term given by an = 5n – 2, find the value of n for which an = 153. A sequence has…

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Q: What is the 100th term of a sequence of number in which, for every positive integer x, the sum of…

A: In the given question, concept of summation series is used. Summation Series The total of the series…

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: Suppose An = 2n^2 + 6n + 6. Find the closed formula for the sequence of differences by computing An…

A: As per our question, we need to find the closed form of an-an-1×an-an-1 First find an-1 and then…

Q: The sequence (x,) is defined by the following formulas for the nth term. Write the first five terms…

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Q: , n=1,2,3. is a sequence of real numbers defined by a, = /2 %3D %3D and for n21, a = 2,/2+a, .

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Q: What is the formula for the nth term tn of the sequence: t2 = 3, tn = (-3/2)tn-1 , n is greater…

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Q: Find the first four terms of the sequence given by the following. an= (-1)^n-1 x3n^2 n = 1,2,3

A: Given that: an=(-1)n-1x3n2  , n=1, 2, 3,

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Q: For the sequence defined by: a1 = 2 2 An+1 = an - 5 Find: az = az = a4 =

A: Given : a1 = 2an+1 = 2an - 5

Q: B f(1) = 4 f(n) = f(n – 1) – 0.25 for n > 2 %3D - - f(n) for fin) 4 3

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Q: The sequence an 3" =- is eventually increasing %3D n! Select one: O True O False

A: Given sequence

Q: In a sequence of numbers, the first term is x and each term thereafter is twice the previous term.…

A: solution is given below

Q: The sequence is defined using recursion formulas. Write the first four terms of the sequence.a1 = 5…

A: Given that, an=3an-1-1a1=5

Q: The sum of the fırst ten terms of this sequence 2.5, 1.25, 0.625, ... is Round answer to three…

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Q: The sequence of positive whole numbers is given such that a, 1. If a7 = 120, find ag.

A:

Q: Suppose Suppose an = 2n² – 5n + 5. Find a closed formula for the sequence of differences by…

A: It is given that an=2n2-5n+5. Thus, an-1=2n-12-5n-1+5=2n2-2n+1-5n+5+5=2n2-4n+2-5n+5+5=2n2-9n+12

Q: A sequence a1, a2, a3,.... satisfies the property that an+1 is the average of the first n terms if…

A: We have to find a2 .

Q: A sequence a1, a2, a3,….. is defined by An+1 4аn — 3, п > 1 -- = k, where k is a positive integer.…

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Q: Find the first 5 terms in the sequence. 3.) x + 9 -8,-7,-6,-5,0 A.) י5n1 -7,-2,3,

A: First five terms of sequence

Q: Suppose Suppose a,= n2 – 2n + 4. Find a closed formula for the sequence of differences by computing…

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Q: The limit of the sequence z, = Arg(-i+) is equal to 5. Select one: O a. -T 2 O b. -37 2 Oc. T 2 d.…

A: The limit of the sequence is, option (a) - π/2    The detailed solution is as follows below:

Q: The sequence is defined using recursion formula. Write the first four terms of the sequence: a1 = 7…

A: a1=7  &amp;  an=an-1+5  for  n≥2 When n=2, a2=a2-1+5⇒a2=a1+5⇒a2=7+5⇒a2=12 When n=3,…

Q: a,=3-5n a, = 25(4)*1 a =4.2n-6 a, =-2(.75)*

A: Explanation of the answer is as follows

Q: Use the difference an+1 ¬ an to show that the sequence {n – 11"}, In=1 is strictly increasing or…

A: Given sequence:  n-11nn=1+∞ Aim: to check whether the sequence is strictly increasing or decreasing.…

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.