Questions on Algebra: Sequences of numbers, series and how to sum them answered by real tutors!

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Algebra: Sequences of numbers, series and how to sum them

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Question 172595: what does sums of sequences of numbers mean?
Click here to see answer by rosstutoring_93(3)

Question 172636: write a formula for the general (nth term) of the following arithmetic sequence. then use the formula to find the 101st term
5, 8, 11, 14, 17, 20 ...
Click here to see answer by Mathtut(3670)

Question 172790: Find the 4th term of the given sequence (simplify completely).

Click here to see answer by jim_thompson5910(13794)

Question 172791: Find the general term and the 29th term of the sequence

Click here to see answer by jim_thompson5910(13794)

Question 172792: It is the year 2040 and the Olympics are being held in the People’s Republic of Scotland. The turnout this year is expected to be larger than ever so the Scots have embarked upon the construction of the largest arena ever created by mankind. This arena will have stadium seating, thus each consecutive row of seating will have more seats than the last. The first row of seats has 300, the second has 350, the third has 400, the fourth has 450 and so on. If there are 700 rows of seating, how many people will the arena sit in total?

Click here to see answer by jim_thompson5910(13794)

Question 172793: Find the sum of the infinite series (if it exists)

Click here to see answer by jim_thompson5910(13794)

Question 172794: Find the sum

Click here to see answer by jim_thompson5910(13794)

Question 172798: For a geometric sequence with and . Find
Click here to see answer by jim_thompson5910(13794)

Question 173105: Given the following table:
Event A Event B TOTALS

Event C 25 30 55

Event D 20 25 45

TOTALS 45 55 100

Find:
A. P( A and D) B. P( B given C) C. P( D) D. P( C given A)

Click here to see answer by stanbon(26274)

Question 173649: 490x^2 - 640 28x^2 - 95x +72
_________________ . ___________________ = ?
49x^2 - 112x + 64 56x^3 - 62x^2 - 144

I do not know how to start this problem. Thank you for your help
Click here to see answer by Alan3354(6082)

Question 173868: what is the 12th term. 4,12,36,108...
use this formula
Click here to see answer by Mathtut(3670)

Question 173353: find the value of x & z
2x-y+2z=15
-x+y+z=3
3x-y+2z=18
Click here to see answer by Edwin McCravy(2922)

Question 173421: What is Sigma sec(2^r theta)?
Click here to see answer by Edwin McCravy(2922)

Question 174497: find the sum of following series:
n*1+(n-1)*2+(n-2)*3+.........+n*1
Click here to see answer by Edwin McCravy(2922)

Question 174700: Maxwell orders at least 30 bottles of flea shampoo per month for his pet grooming business. His supplier charges $3 per quart bottle plus a $25 handling fee per order. A competing supplier offers a similar product for $4 per quart plus a $5 handling fee per order. The salesman for the competitor shows Maxwell that 10 bottles form his company would cost only $45 compared to $55 from Maxwell's current supplier.
Which supplier would you advise Maxwell to use?
Explain and show work to support your advice to Maxwell.
Click here to see answer by Mathtut(3670)

Question 175097This question is from textbook Saxon Math Course 3
: Use this recursive formula to find the first four terms of the sequence.
{A1=4
{an= an-1=3
*you have to kinda of see the problem to really understand what i'm typing.This question is from textbook Saxon Math Course 3

Click here to see answer by Edwin McCravy(2922)

Question 175178: ok this problem is not in a book or anything its just an extra credit and it asks to (find why is 0 undefind)?
Click here to see answer by Mathtut(3670)

Question 175322: Please help me solve the equation. What is the quotient of y-5 divided by 2y^2-7y-15?
Click here to see answer by josmiceli(3009)

Question 175325: please help me solve the equation, the amount of sales tax charged is proportional to the value of the item bought. If the tax on a $110.00 item is $8.50, what is the tax on a $150.00 item?
Click here to see answer by Mathtut(3670)

Question 175300: What is the common difference and generale rule for generating the terms of the sequence for A1=8,A17=88 and how to you resolve this problem?
Click here to see answer by prasadmlm(2)

Question 175464: how do you solve this equation? 2=3x-5
Click here to see answer by solver91311(5072)

Question 176159: Use inductive reasoning to determine the next three numbers in the pattern:
3,12,26,45
Click here to see answer by Mathtut(3670)

Question 176401: My math problem is to find the discriminant of y=x^2-3x-5.
Could you please help me??
Click here to see answer by stanbon(26274)

Question 177003: A teacher allows the students to each "throw out" their lowest test scores in order to increase their overall grade. The original mean score of 5 test is 75.2. After the removal of the lowest test, the mean score becomes 80.25. What was the score of the removed test?
Click here to see answer by stanbon(26274)

Question 177115This question is from textbook Elementary and Intermediate Algebra Concepts and Applications
: The sum of two positive integers is 108. One integer is three times as great as the other. Find the integersThis question is from textbook Elementary and Intermediate Algebra Concepts and Applications

Click here to see answer by nerdybill(2446)

Question 177120: im having trouble solving the following problem.

Thank you for your help.
Click here to see answer by colliefan(49)

Question 177694:
Click here to see answer by Mathtut(3670)

Question 177888: do sequence could be illustrated using fingers
Click here to see answer by stanbon(26274)

Question 177933: Which represents the common difference between successive terms in the sequence generated by tn=4/3n-6?
Is it (a) -4/3 (b) 4/3 (c) -6 or (d)6
I know I am over thinking this question :(
Click here to see answer by jim_thompson5910(13794)

Question 178522: How do you find the sum of the finite arithmetic series of 9, 16, 23, 30, ..., 100?
Thank you
Click here to see answer by Mathtut(3670)

Question 178720: How do you write the series in sigma notation?
5,8,11,14,...,38?
Thank you
Click here to see answer by Mathtut(3670)

Question 178722: How do you write a recursive formula for the sequence
1/7, 22/7, 43/7, 64/7,...?
Thank you
Click here to see answer by Mathtut(3670)

Question 179479: find the 9th term of 1,3,9,27
Click here to see answer by jim_thompson5910(13794)

Question 181033This question is from textbook Prentice Hall(Mathematics course 2)
: Please help me solve this question:
"What is the pattern for this sequence 600,-300,150...
This question is from textbook Prentice Hall(Mathematics course 2)

Click here to see answer by Mathtut(3670)

Question 181034This question is from textbook Prentice Hall(Mathematics course 2)
: Please help me solve this sequence.
What is the rule for 300,60,12,2.4...
Is the sequence geometric,arithmetic,both,or neither?This question is from textbook Prentice Hall(Mathematics course 2)

Click here to see answer by Mathtut(3670)

Question 182484This question is from textbook Algebra 2
: The title for 11-4 is Geometric Series. I've tried and tried to solve problems 28, 42, and 46 but have had no luck. I would really appreciate your help.This question is from textbook Algebra 2

Click here to see answer by Alan3354(6082)

Question 183079: inductive reasoning to determine the next three numbers in the pattern: 3, 12, 26, 45,
Click here to see answer by stanbon(26274)

Question 183380: I understand the examples you have given to find the sum of sequences but i have a problem which i couldn't find an example that will help me.
The Question:
In an arithmetic series, the terms of the series are equally spread out. For example, in
1 + 5 + 9 + 13 + 17, consecutive terms are 4 apart. If the first term in an arithmetic series is
3, the last term is 136, and the sum is 1,390, what are the first 3 terms?

I would like for you to show me a formula that will help me with this question because i have many problems on my homework that is this way.

Thank you
Click here to see answer by stanbon(26274)

Question 184338: Write each series using sigma notation
-9+3-1+1/3...
Click here to see answer by user_dude2008(716)

Question 185088: 1- identify as arithmetric,geometric or neither
2-write the rule for the nth term-
3-find a1.
4,10,18,28,40
the answer is neither but whats the rest?
Click here to see answer by stanbon(26274)

Question 185104: Could you write a possible explicit rule for the nth term of each sequence.
3, 6, 11, 18, 27, ...
Thank you for your help.
Click here to see answer by user_dude2008(716)

Question 185292: 5x/2=4/3+2x
Click here to see answer by vleith(1977)

Question 185684: How do you solve a geomtric mean when the first term is 81, and the fifth term is 16?
Click here to see answer by stanbon(26274)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215