Math Sequences Problems and How to Solve Them

Tell what theorems are available for calculating limits of sequences?

Kamren Franco 2022-01-22

What is the next three terms of the following sequences?
a. $2, 4, 8, 16, 32, \dots$
b. $3, 5, 7, 9, 11, 13, \dots$
c. $1, 4, 9, 16, \dots$
d. $1, 4, 11, 29, 76, 199, \dots$

treslagosnv 2022-01-22

Prove that $lim_{n \to \infty} e^{\frac{n + 1}{n}} = e$
$(\frac{n + 1}{n})$ is the exponential of e

blitzbabeiy 2022-01-22

The infinite sequence will be defined as recurrent relation:
$1, 10, 3, 20, 9, 30, 27, 40, \dots$
The sequence is a composition of some arithmetic and/or geometric sequences. How many elements will become non-recurrent part?

estadsocm3 2022-01-22

Suppose f : $(M, d) \to (N, p)$ is continuous.
Prove or disprove that f is uniformly continuous $\Leftrightarrow$ f maps a Cauchy seq. to Cauchy seq.

Kristina Mcclain 2022-01-22

How many ordered sequences are possible that contain six objects chosen from seven?

Jett Castaneda 2022-01-22

Explain why there are no simple graphs with these degree sequences.
(а) 6,6,5,3,2,2,2
(b) 6,6,6,6,6,6
Construct multigraphs with these degree sequences. Are there degree sequences that are realizable as simple graphs but not as multigraphs? Why or why not?

Anika Osborne 2022-01-22

Determine the convergence or divergence of the sequence.
$\sum_{n = 10}^{\infty} [\frac{1}{4 n^{2} - 16 n + 15} + \frac{1}{2} {(\frac{e}{π})}^{n - 1}]$

Kaydence Huff 2022-01-22

Find the limit of the sequence
$d_{n} = \frac{3^{n} 2^{n + 3}}{4^{- n} n!}$

pozicijombx 2022-01-22

Determine the z-transform for each of the following sequences and indicate the corresponding region of convergence for each of them.
$x [n] = {(- \frac{1}{3})}^{n} u [- n - 2]$

Sapewa 2022-01-15

Please, continue the two sequences of numbers below and find an equation to each of the sequences: $n = 1, 2, 3, 4, 5, 6, 7$
Equation $a_{n} = 2, 5, 9, 14, 20, 27$ , $b_{n} = 1, 3, 12, 60, 360, 2520$

bmgf3m 2022-01-07

Find the limits of the sequences
$\sum_{n}^{\infty} = 1 \frac{n \times \ln (n)}{n^{2} + 1}$
$\sum_{n}^{\infty} = 1 \frac{\sin (n)}{n}$

Danelle Albright 2022-01-07

Find S, for the geometric sequences: $4, - 20, 100$

Daniell Phillips 2022-01-07

Is there a pair of integers $(a, b)$ such that $a, x_{1}, y_{1}, b$ is part of an arithmetic sequences and $a, x_{2}, y_{2}, b$ is part of a geometric sequence with $x_{1}, x_{2}, y_{1}, y_{2}$ all integers?

Joyce Smith 2022-01-06

What is a recurrence relation for the number of sequences of yellow and purple stones of length N, where each sequence has the property that no two adjacent stones are purple.

veksetz 2022-01-06

What is the sum of the first five terms of the following geometric sequences.
1) h 1h 2t…
2) 3 12 ht…
3) 100 50 25…
4) 1 t 3t…
5) 5h 1t t…

Joanna Benson 2022-01-06

Identify the sequences as arithmetic or geometric.
a. 2, 6, 18, 54, 162
b. 1, 8 ,15, 22, 29
c. 11, 15, 19, 23, 27

oliviayychengwh 2022-01-06

Determine the limits of the following sequences:
a. $a_{n} = \frac{3 n^{3}}{n^{3} + 1}$
b. $b_{n} = {(\frac{n + 5}{n})}^{n}$
c. $c_{n} = n^{\frac{1}{n}}$

Arthur Pratt 2022-01-05

If a die is rolled 30 times, there are $6^{30}$ different sequences possible. The following question asks how many of these sequences satisfy certain conditions.
What fraction of these sequences have exactly three 4s and three 5s?

Shelia Lawrence 2022-01-05

Determine whether statement is true: The

In the majority of cases, solving Math sequences problems is a constant task of data programmers, architects, and engineers who construct furniture, aircraft, automobiles, or program automation for robotics. Even if you have used some Math sequences solver before, it’s essential to start with at least one equation that will help you to set your variables straight and create the foundation for a sequence. While you read your instructions, do not forget to compare them with provided answers to sequences of Math problems below. These will help you with the basics and explain the structure of sequences in various applications.

Algebra I

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