5) A sequence lan satisfies a= a = 1 and a, = a,n-1 an-2 +n (when n23). Find az020 %3D %3D (A) 2020 (B) 2021 (C) 2022 (D) 2024

Q: The simple formula for a, if the first 5 terms of the sequence {an} are 1, 21, 121, 621, 3121 is:…

A: We are asked to find which is correct for the sequence.

Q: What is a disadvantage of defining a sequence recursively?

A: The Disadvantage of defining a sequence recursively as In general, recursive functions are slower…

Q: sequence

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Q: 1 +(1)/(2), 1 +(3)/(4), 1 +(7)/(8), 1 +(15)/(16 Write an expression for thenth term of the…

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Q: In a sequence of 12 numbers, each term, except for the first one, is 12^11 less than the previous…

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Q: 5. A bit string is a sequence of numbers consisting of 0’s and 1’s. Answer the following questions…

A: (a) To fill each of the 5 places of a bit string of length 5, we have two choices (0/1).  So number…

Q: Is there a way to do just using the starting value 2, instead of 2 and 5? In other words, can I get…

A: I am going to solve the problem by using some simple algebra to get the required result of the given…

Q: how many sequences of 2n letters can be formed using n distinct symbols if each symbol is used…

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Q: 4. Consider the sequence 8 1 {2(k+3 (2(k+3)) k=1 rewrite the sequence from j-5

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Q: Need help with this problem. It states:   Determine the number of n-digit quaternary (0, 1, 2, 3)…

A: First, let's address the count of n-digit quaternary sequences where there is never a 3 to the right…

Q: Sequence hWith frst tem 7, and las term 7/729.

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Q: O List the first five terms of the sequence 2n +(-3)" }

A: The given sequence is: -1n+12n+-3n To find the first five-term of the sequence.

Q: Consider the rabbit pairs that illustrate the pattern in the Fibonacci sequence. These rabbits…

A: Step:-1 Given that rabbits produce exactly 1 pair after 2 months. Let we have 1 pair of rabbits and…

Q: Enter the number to complete the linear combination. gcd(69, 30) yields sequence: 69 30 9 30 9692-30…

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Q: For 7-10 Given a_1= 3, a_2= 7 and a_n= [2a] _(n-1) + a_(n-2) for n 23, 7) Find a_3 =,* Your answer…

A: First Question: (7) Given a1 = 3 , a2 = 7 and  an = 2an-1+an-2 then a3 = 2a2+a1 = 2*7+3 = 17 Hence…

Q: 4) Find x if the sequence 3, 6, 2x+5, is a) arithmetic b) geometric.

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Q: The sequence is defined recursively. Compute the first five terms a₁ = 0; an = 2an-1, n ≥ 2 a₁ = a2…

A: Given: So,              a2=2a1=20=1a3=2a2=21=2a4=2a3=22=4a5=2a4=24=16a6=2a5=216=65536

Q: The partial sum-2 + (-8) + (-32)+...+(-32768) equals

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Q: Suppose that the sequence {ax} is =0 2, 4, 6, 8, 10, 12, 14, 16, .. What is a1?

A: The given sequence {ak}k=0∞ is -  {ak}k=0∞ = 2,4,6,8,10,12,14,16,18,......... The first tern of the…

Q: The Summation means that we take 2 the sum of 1²+3 as i goes from 6 to 8 { li i=6 (143) =…

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Q: ! 3) Determine eat for anthmeric sequence a = -15, 9, 82-85 SI-A PISK.C@ $10.011X

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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: 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: A sequence {an}-1 satisfies a1 = 1, a2 = 1 and n=1 4 max {am-1, an-2} – min {an-1, an-2} An = for n…

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Q: Use polynomial fitting to find the formula for the nth term of the sequence (an)nzo which starts,…

A: The sequence is  0, 8, 20, 36, 56, 80, . . .

Q: Find the a, of the geometric sequence 5 O x^7/y^20 O x^6/y^10 O Option 1 O x^5/y^8 O x^12/y^15

A: Here we have to find term of geometric sequence.

Q: A sequence can be generated by using a_(n)=a_((n-1))+4. If a_(1)=2, what is the value of a_(20).

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Q: How many ternary ( 0,1,2) sequences of length 10 are there without any pair of consecutive digits…

A: We see, we can start the desired ternary sequences with any of the 3 digits (0, 1 or 2).    Now, for…