Math Sequences Problems and How to Solve Them

Use the approach in Gauss's Problem and find the following sums of arithmetic sequences.
$293 + 290 + 287 + 284 + . . + 2$

Ramiro Grant 2022-04-08

Find z-transform of the sequence
$x [n] = {(\frac{1}{2})}^{n} u [n + 3]$

Christopher Stone 2022-04-08

Use the approach in Gauss’s Problem to find the following sums of arithmetic sequences:
1) $1 + 2 + 3 + 4 + \dots . + 999$
2) $1 + 3 + 5 + 7 + \dots . + 103$
3) $4 + 9 + 14 + 19 + \dots . + 504$
4) $8881 + 872 + 863 + 854 + \dots . + 8$

Lisa Cooper 2022-04-08

There are three sequences. Which of them are arithmetic
$2, 4, 6, 8, 10, . .$
$2, 4, 8, 16, 32, \dots$
$a, a + 2, a + 4, a + 6, a + 8, \dots$

Hallie Watts 2022-04-07

Find the value of 75th term in this sequences: $\frac{5}{2}, 5, 10, 20, 40, 80, \dots$

Malachi Mullins 2022-04-07

Find the sum of the terms from $a_{16}$ to $a_{23}$ for the following sequence
$ 7, 10, 13, 16, \dots$

kurzivupl89 2022-04-07

Find the seventh term of Fibonacci sequences: (1) $5, 10, 30, 120, \dots$ , (2) $2, 1, \frac{1}{3}, \frac{1}{12}, \dots$

Ashleigh Mitchell 2022-04-06

Find the z-transform f(z) $f (n) = {(0.5)}^{ν} (n) + {(1.5)}^{ν} (- n - 1) - 2 δ (n)$

Lisa Cooper 2022-04-06

Find the sum of the terms from $a_{16} \to a_{23}$ inclusive. Use the sum formula for arithmetic sequences.
$ 7, 10, 13, 16, \dots$

Breanna Mcclure 2022-04-05

Find the Z-transform for the sequence $x [n] = 2^{ν} [- n] + {(\frac{1}{4})}^{ν} [n - 1]$

Beckham Short 2022-04-05

Find the z-transform for the sequences
1) $x (n) = 10 u (n)$
2) $x (n) = 10 \sin (0.25 π n) u (n)$

Ashleigh Mitchell 2022-04-05

Find the sum of the infinite geometric sequences: $48, 24, 12 \dots$

What is the formula of this given sequence 112,119,126,…

amantantawq5l 2022-04-02

Show directly from the definition that if $(x_{n})$ and $(y_{n})$ are Cauchy sequences, then $(x_{n} + y_{n})$ and $(x_{n} y_{n})$ are Cauchy sequences.
If $x_{n} = \sqrt{n}$ , show that $(x_{n})$ satisfies $lim | x_{n + 1} - x_{n} | = 0$ , but that it is not a Cauchy sequence.
Let p be a given natural number and give an example of a sequence $(x_{n})$ that is not a Cauchy sequence, but that satisfies $lim | x_{n + p} - x_{n} | = 0$ .

Nathen Peterson 2022-04-01

I have 3 questions
(a) How many unique sequences of 5 symbols that can be formed from 9 symbols? And number of arrangements? n? r?
(b) How many unique sequences of 3 symbols that can be formed from 8 symbols? And number of arrangements? n? r?
(c) How many unique sequences of 3 objects that can be arranged in a row from 9 discrete objects? And number of arrangements? n? r?

encaderpwp 2022-03-31

Prove:
$lim_{n \to \infty} \ln (\frac{n + 1}{n}) = 0$

Janiyah Hays 2022-03-30

$W_{n} = \frac{3 n^{\sqrt{5}} - 2 n^{3} + n}{6 n^{\sqrt{7}} + 4 n^{3} - 8}$ , $Y_{n} = \frac{6 n^{5} + 2 n^{2} - 1}{3 n^{2} (2 n^{3} + 1)}$ , $Z_{n} = 1 - \sin (\frac{2 n π}{5})$

London Douglas 2022-03-30

Prove that $lim_{n \to \infty} \frac{n}{2 n - 1} = \frac{1}{2}$

Lucian Ayers 2022-03-28

Determine whether the sequence converges or diverges
$a_{n} = {(1 + \frac{k}{n})}^{n}$

plastikffxi117h 2022-03-28

Determine whether each of the following sequences with the given n-th term is convergent or divergent. Find the limit of those sequences that converge.
1) $a_{n} = \sin^{- 1} (\frac{1}{\sqrt{2}} \cos \frac{1}{n})$
2) $a_{n} = \frac{2^{n + 2} + 5}{3^{n - 1}}$
3) $a_{n} = {(1 + n)}^{\frac{1}{2 n}}$

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

Solve Sequences Math Problems with Us