9.) Define what is the sequence {Xn} diverges n = ∞ as meant by to +00/-00

Q: -n +1 lim -n2 +n +2

A: Given to find limn→∞-n2+1-n2+n+2n

Q: Find the sum of the first 6 terms of the sequence defined by an = -4 (2)^-¹ for n ≥ 1. -

A:

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: 25) Show that the sequence (2/7) n! 10") +∞ n=1 is eventually strictly decreasi

A: The given sequence is: {10nn!}n=1+∞ which is to be shown as decreasing. First, we shall know the…

Q: Find the generating function for the sequence 1,−2,4,−8,16,….

A: The general expansion of the binomial (1-x)-1 will be, (1-x)-1=1+x+x2+x3+….

Q: Find the sum of the first five terms of the sequence. (Assume that the sequence is defined for n ≥…

A:

Q: 9. Suppose G is the generating function for the sequence 4, 7, 10, 13, 16, 19,..., the find a…

A: The given sequence is 4,7,10,13,16,19,….We need to find the generating function for the sequence of…

Q: a. -10, 30, -90, 270, -810 b. -13, -16, -19, -22, -25 c. -10, -13, -16, -19, -22 d. -10, -7, -4, -1,…

A: To find the first five terms of the given sequence.

Q: Find the generating function for the finite sequence 2, 2,2, 2, 2, 2.

A: Step 1: Consider the provided question, Given, the finite sequence 2, 2, 2, 2, 2, 2.

Q: Suppose that the sequence x, x1, x2... is defined by xo-1, x₁ =6, and xk+2=7xk+1-12x for 20. Find a…

A: Ans :

Q: Suppose that the sequence {ak}1 is 2, 4, 6, 8, 10, 12, 14, 16, . What is a,?

A: we have the given sequence 2,4,6,8,10,12,14,16,...

Q: Write the first four terms of the of the sequence tn 2tn-1 + 4 where t₁ = 5 P

A:

Q: 1. The field mouse population in a certain area is known to naturally increase at a rate of 50% per…

A: The population of mice is increasing at a rate of 50% per month. The mice killed and eat each month…

Q: Let (a_n) be the sequence defined by the recursive relation a_n=a_(n−1)+5n+1, with initial term…

A:

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

A:

Q: 5. If a = (1+ 1)", then which of the following statement is true for the nth term of the sequence…

A: The solution is given as follows :

Q: (-1)"n An n +1

A: We have to evaluate the limit of the sequence an=-1nnn+1.

Q: what notation is used in sequences and functions?

A: To define: Notations used in sequences and functions.

Q: 6. Find the limit of the sequence. You should consider the behaviour of the continuous version of…

A:

Q: f(n)=(n-1/2) (n-1/3) Its n-1 over 2 and n-2 over 3 Write the first six terms of the sequence…

A:

Q: Consider the sequence S(-1)"-2n² 4+n³ n=1 (a) Write the 129th term in this sequence. You do not have…

A:

Q: Consider the recursive sequence a ÷(:+*) with a , =3. If I<a,<5 then A. The sequence (a ) is…

A:

Q: onsider the sequences 2, 5, 12, 29, 70, 169, 408, . . . (with a0 = 2). (a) Describe the rate of…

A: Given  sequences 2, 5, 12, 29, 70, 169, 408, . . . (with a0 = 2). We have to give solution for  (a)…

Q: Find ai for the sequence with generating function, 1-x 1 x x

A: Simplify the generating function.

Q: 17.) compute f-g ( Note: each term in the sec one of the following Should only be 0, 1, 2, 3, 4, 5,…

A:

Q: converges

A:

Q: Find the limit of the following sequence or determine that the sequence diverges. {((-1)n)/(n)}

A: Given sequence, an=-1nn