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

Tutors Answer Your Questions about Sequences-and-series (FREE)

Question 169539: Three consecutive odd integers are such that the square of the third is 264 more than the square of the second. Find the three integers.
Click here to see answer by Mathtut(3670)

Question 169556: Show me how to solve and reprent my solution on a number line

Also show me how to solve, graph and check the following
please
7m+5m-7-18m<3+12m-16
4p+2(p+7)<8
Click here to see answer by Edwin McCravy(20056)

Question 169809: my teacher gave me a homework about sequences.He told us to find the rule between

1,3,6,10,15,21,can you show the working please and i have to sumit it today.ISBN ACTIVE MATHEMATICS 2 PG 44 EXERCISE 6
Click here to see answer by jim_thompson5910(35256)

Question 169220: Please help
Find the sum of the infinite geometric series 36+24+16+...if it exists.
I must show my work and am lost.
Thanks
Click here to see answer by chiefman(11)

Question 169997: The question I need help with is of a systems of equations. Here is the question.

y=-x+2
x+2y=6
_______
SOLVE WITH PROCESS OF ELIMINATION PLEASE!
Thank u.
Click here to see answer by jim_thompson5910(35256)

Question 170325: Use mathematical induction to prove: 4^n+1 + 5^2n-1 is divisible by 21
Click here to see answer by jim_thompson5910(35256)

Question 170325: Use mathematical induction to prove: 4^n+1 + 5^2n-1 is divisible by 21
Click here to see answer by Edwin McCravy(20056)

Question 171173: Will someone please help me. I don't know where to begin on this problem. I have to show all my work.
Find Sn for the arithmetic series in which A1=-11, An=13, and n=7.
I have a big test later today and really need help.
Thanks
Click here to see answer by monika_p(71)

Question 171192: Find the first five terms of the sequence for which A1=5 and An+1=3An+1
I'm not sure if I started this right. 3(5)+1=16
Is this right? Could you please explain how to do this problem.
Thanks
Click here to see answer by oscargut(2103)

Question 171175: Can someone please show me how to do this problem
Prove that the statement: 1/5+1/5^2+1/5^3+...+1/5^n=1/491-1/5^n) is true for all positive integers n. Show all your work
PLEASE HELP!!!!!
Thanks
Click here to see answer by oscargut(2103)

Question 171355: Simplify:
-2[(-3+2)(-3+1)]
-----------------
-4-1 - (-1)
Click here to see answer by jim_thompson5910(35256)

Question 171355: Simplify:
-2[(-3+2)(-3+1)]
-----------------
-4-1 - (-1)
Click here to see answer by Alan3354(69443)

Question 171411: In the following algebraic consequences, n represents the position of a term in a sequence. Find the first five terms.
5n
3n + 2
7n - 4
Click here to see answer by Mathtut(3670)

Question 171948: My boyfriend and I were making up Algebra problems during a boring convention meal and ended up getting four different answers to this one. It seems we have forgotten the Order of Operations. (It's been a few years since either one of us was in school.) What is the solution to this equation? And, what is the order of operations?
7/4(6+6+6) = 30*4/3(5-6)X
Thank You;
Brenda and Lee

Click here to see answer by edjones(8007)

Question 172619: find the sum of the geometric series
1 + (1/2) + (1/4) + (1/8) + (1/16) + ....
Click here to see answer by stanbon(75887)

Question 172614: find the first four terms in the geometric sequence with the initial term -1 and common ratio r=3
a. -1,-3,-9, -27
b. -1, 2, 5, 8
c. 3, 2,1, 0
d. 3, -3, 3, -3
show all work
Click here to see answer by rosstutoring_93(3)

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(35256)

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

Click here to see answer by jim_thompson5910(35256)

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(35256)

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

Click here to see answer by jim_thompson5910(35256)

Question 172794: Find the sum

Click here to see answer by jim_thompson5910(35256)

Question 172798: For a geometric sequence with and . Find
Click here to see answer by jim_thompson5910(35256)

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(75887)

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(69443)

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(20056)

Question 173421: What is Sigma sec(2^r theta)?
Click here to see answer by Edwin McCravy(20056)

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(20056)

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 175097: 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.
Click here to see answer by Edwin McCravy(20056)

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(19441)

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(24713)

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(75887)

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(75887)

Question 177115: The sum of two positive integers is 108. One integer is three times as great as the other. Find the integers
Click here to see answer by nerdybill(7384)

Question 177120: im having trouble solving the following problem.

Thank you for your help.
Click here to see answer by colliefan(242)

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, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790