182 Answered Questions for the topic Sequences

05/26/21

provide a simple formula or rule that generates the terms of an integer sequence

For the lists of integers, provide a simple formula or rule that generates the terms of an integer sequence that begins with the given list. Assuming that your formula or rule is correct, determine... more
Sequences Trigonometry

05/24/21

Geometric Sequence

Write the first 4 terms of the geometric series given by Sum = 1/ (1+4x)
Sequences Algebra 2

05/06/21

Algebra 2 sequences

A ball is dropped from a height of 40 feet. Each time it hits the ground, it bounces three-fourths of its previous height. Find the total distance the ball has traveled before coming to rest.

04/21/21

04/07/21

Write an explicit formula for the sequence:

Write an explicit formula for the sequence: {-1/6 , 1/7, -1/8, 1/9, -1/10, 1/11, ...)an= ?

04/07/21

Find a formula for the general term an of the sequence assuming the pattern of the first few terms continues.

Find a formula for the general term an of the sequence assuming the pattern of the first few terms continues.{ 7/2 , 7/4, 7/8, 7/16, 7/32, ....)assume the first term is a1an=

04/06/21

FInd a formula for the general term a_n of the sequence assumin the pattern of the firwst few terms continue

{ 2/2 , 2/4, 2/8, 2/16, 2/32, ....}Assume the first term is anan = ???
Sequences Algebra 2

01/19/21

Algebra 2 Sequences

Tommy invests \$100 every year he owns 5% in interest answer the followingA. What is the starting amount ? B. By what decimal does he increase each year?C. Why do you need to multiplied by each... more

12/08/20

Finding a series

Find a series that converges conditionally, where the n=10 term for the series is 12 and the n=11 term is -6.
Sequences Calculus Series

12/08/20

Finding a series

Find a series that has some negative terms that can converge absolutely by using limit comparison test and compare it to 1 over n2.

12/05/20

The sequence shown below is defined using a recursion formula

The sequence shown below is defined using a recursion formula. Write the first four terms of the sequence.a1=12 and an=an-1+1 for n less than or equal to two.
Sequences Algebra 2

10/08/20

Geometric sequences

I need a little help on how to do sequences. The formula keeps confusing me.The question I have is Find the 5th term for -6, -24, -96...If someone can help me understand the formula more it would... more
Sequences Graphs Functions

08/07/20

Solving a word problem using a system of equations of the form Y=Mx+b

Two pools are being filled with water. To start, the first pool contains 1900 liters of water and the second pool contains 1440 liters of water. Water is being added to the first pool at a rate of... more
Sequences Algebra 2 Arithmetic

06/03/20

Arithmetic Sequences

If the third term of an arithmentic sequence is 1 and the eighth term is -14, what is the twelfth term?
Sequences Calculus

04/24/20

Find the interval of convergence for the series. (Enter your answer using interval notation.)

Find the interval of convergence for the series. (Enter your answer using interval notation.) sum from n=1 to infinity n!(4x-1)^n
Sequences Calculus

04/24/20

express the given number as a rational number.

express the given number as a rational number.3.816161616161616161616161616...
Sequences Calculus

04/24/20

Determine whether the series converges or diverges. If it is convergent, find the sum.

Determine whether the series converges or diverges. If it is convergent, find the sum. 4 + 1 + 1/4 + 1/16 + ...

04/08/20

Writing an explicit equation

Write an explicit sequence for 4,9,14,19,24 and what is it’s 99th term2) what is t(4)=12 t(10)=48 explicit equation and it’s 18th term

03/08/20

09/11/19

|x+2|-|x-1|<x-3/2

Sequences Algebra Series

09/09/19

Sequence/ number series

How do you solve number series or sequence where the values alternate between adding a number and subtracting a number?For example: Find the 30th term in the sequence.6,2,7,3,8,4,9..Notice the... more

09/06/19

A probability question with sequences

A sequence of numbers X1, X2,... are produced by taking a random number from the set {1,2,3...n}.The summation Sk is defined to be X1+X2+...+Xk.Which of the following is a correct expression for... more

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