Consider the sequence a = O bn bn Which one of the following sequences b = (bn) satisfies Ab = a? Hint: Take advantage of the fact that the multiple-choice format allows you to guess the antidifference and try differencing it. bn Obn 'n = n-1 n! n n+1 n+1 n+2 n²+1 n+1 n+2 n-3 (an) where n+1 an 1 n² + 3n+2 2

Q: 8n2 + 1n + 1 an 7n2 + 9n + 9

A:

Q: an 2. (14 points) Use mathematical induction to prove that a,, = -5+n(n+1), -8 for all integers n >…

A: To prove that 𝑎n = −5+𝑛(𝑛+1) for all integers 𝑛>1 is an explicit formula for the sequence…

Q: 3. Consider a play-off tournament with 3n players. In the first round of this tournament three…

A:

Q: Which of the sums below is equivalent to 4sin (36)cos (5ß)? Select the correct answer below: O 4cos…

A: 2 cos(A) sin(B) = sin(A+B) - sin(A-B)

Q: 1+4+9+16+25+36 translate into summation notation

A: It can be rewritten as,

Q: What is the summation from n = 1 to infinity, of  (3n+1) / (5n + 4) ?

A:

Q: Multiply (3x-2X2x+

A:

Q: 3 4 N + 1 5) Show that the sequence 7 2N + 1 is bounded and monotonic.

A:

Q: Hi, could you answer this question and explain the principle you will use?

A: Let's break down each part of the problem step by step: 1. Calculating ( r_2, y_2 ) and ( r_3, y_3…

Q: Evaluate the sums

A: Given that ∑k=15k3k+5. Compute the sum as follows.

Q: all n N we have We apply this successively for n = bn+1 bn N, N+1, n 9 bN+1 < (m + €)bN bN+2 < (m+…

A:

Q: - Find the summation of a2 + 2a2 + 3a2 + …+ n * a2. ...

A:

Q: inf{a,b, : n e N} > (inf{a, : n € N}) × (inf{b, : n E N}). (1) Does the inequality (1) continue to…

A:

Q: a. a₁ = 1, a2 = 2, an=2an 1+3an 2

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Answer the question right and show your work Then make a similar question for each question and…

A: The sequence is as follows: f(1)=24,f(2)=288,f(3)=3456,f(4)=41472 To find the recursive…

Q: 3. (P2, Page 19; Write out the Binomial Formula explicitly for n = 3 and n = = 4. Example: For n =…

A:

Q: Show all work and needed asap!

A: Step 1:Step 2:Step 3:

Q: How can the sum of k * (n choose k) = n(2 to the power of n-1) be proven akgebraically ?

A: Step 1: We have to prove that, Now by the binomial theorem, Now, differentiating the both sides of…