Math Sequences Problems and How to Solve Them

The sum of $5$ numbers in AP is $30$ and the sum of their squares is $220$ . Which of the following is the third term?

Wendy Larsen 2023-01-05

What is the sum of the arithmetic sequence 152, 138, 124 if there are 24 terms?

Alvaro Wilkinson 2022-12-31

How to find and write the first four terms of the sequences below with the given general term?
(1) $a_{n} = {(- 1)}^{n + 1} (n + 4)$
(2) $a_{n} = {(- 1)}^{n - 1} n^{2}$

kariboucnp 2022-12-29

Find a formula for the general term ⍺n of the sequence, assuming that the pattern of the first few terms continues.
{-7, 14/3, -28/9, 56/27, -112/81, ...}

Aron Pierce 2022-12-29

What is the common ratio of the geometric sequence $135, 45, 15, 5 \dots$ ?

Araceli Kidd 2022-12-25

Write down separately the prime and composite numbers less than $20$ .

Virginia Mendez 2022-12-25

How to find the indicated term of the Fibonacci Sequence?
13th term

Blake Booker 2022-12-20

Continue the sequences:
2,7,26,101,400,?

Hailie Martinez 2022-12-19

Uniformly cauchy sequences
A sequence of functions $f_{n}$ is said to be uniformly cauchy if
$\forall ε > 0 \exists N > 0 : \forall z, \forall r, s > N : | f_{r} (z) - f_{s} (z) | < ε$
How can I show that if a sequence is uniformly cauchy then $f_{n}$ converge uniformly to some funciton $f$ ? We can assume that the metric space is complete.

twaishi03m 2022-12-17

Taylor series of $\sqrt{1 + x}$ using sigma notation
I want help in writing Taylor series of $\sqrt{1 + x}$ using sigma notation I got till $1 + \frac{x}{2} - \frac{x^{2}}{8} + \frac{x^{3}}{16} - \frac{5 x^{4}}{128} + \dots$ and so on. But I don't know what will come in sigma notation.

Tordellilgn 2022-12-14

What is a number sequence?

litanijblm 2022-12-08

Identify the $42 nd$ term of an arithmetic sequence where $a 1 = - 12$ and $a 27 = 66$ .

VarceprewN3M 2022-12-05

Use inductive reasoning to predict the next line in this sequence of computations. Then use a calculator or pertorm the arithmetic by hand to determine whether your conjecture is correct.
$6 \cdot 3 + 2 = 20 66 \cdot 3 + 2 = 200 666 \cdot 3 + 2 = 2000 6666 \cdot 3 + 2 = 20000$
Make a conjecture by predicting the correct numbers in the line below
$(?) \cdot 3 + 2 = (?)$
Is the conjecture correct?
Yes or No

Jazlyn Nash 2022-12-04

Solving $- 1 / 3 (x - 15) = - 4$ , what is the correct sequence of operations?
1. Multiply each side by -1/3, subtract 15 from each side
2. Multiply each side by −3, add 15 to each side
3. Multiply each side by -1/3 , add 15 to each side
4. Multiply each side by 3, subtract 15 from each side

Gabriel Zamora2022-11-30

Find the 52nd term of the arithmetic sequence $-8, -12, -16, ...$ −8,−12,−16,

arponatsdWT 2022-11-29

Which formula can be used to describe the sequence?
$- 3, \frac{3}{5}, - \frac{3}{25}, \frac{3}{125}, - \frac{3}{625} A . f (x) = - 3 {\frac{1}{5}}^{x} - 1 B . f (x) = - 3 (\frac{1}{5})^{x} - 1 C . f (x) = - \frac{1}{5} (3)^{x} - 1 D . f (x) = - \frac{1}{5} (- 3)^{x} - 1$

Scarlet Marshall 2022-11-26

Identify the 42nd term of an arithmetic sequence where $a_{1} = 12$ and $a_{7} = 66.$

ucatzABI 2022-11-25

Find the common ratio in this geometric sequence 3, 18, 108, 648, 3888, ...

neimanjaLrq 2022-11-25

Which sequences are geometric? For example

FofieiyK 2022-11-25

Write a rule for the nth term of the arithmetic sequence given $a_{20} = 240, a_{15} = 170$

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