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 523962: Norris currently has an account balance of $3,703.05. He opened the account 25 years ago with a deposit of $1,725.95. If the interest compounds monthly, what is the interest rate on the account?
Click here to see answer by Alan3354(69443)

Question 523976: 45=3y+15

Click here to see answer by rfer(16322)

Question 524054: Find two numbers (exactly) whose product is 24 and whose sum is 21
Click here to see answer by Alan3354(69443)

Question 524216: If a5= 48 and a17=196608 are he terms of a geometric sequence find a32.. Please help me solve this geometric sequence.
Click here to see answer by Maths68(1474)

Question 524498: The first term of a geometric sequence is 5 and the common ratio is 2. Find the first four terms of the sequence.
Click here to see answer by Edwin McCravy(20056)

Question 524497: Hi,
Could you help me find the 7th, 8th, and 9th terms of the following sequence
(1, 2, 3, 6, 11, 20, ...)? As the sequence progresses, each number equals the sum of the previous three numbers (ie 20 = 11 + 6 +3), but I can't figure out how they got 1 and 2. Another idea is that every even term equals the previous term plus 3 to increasing powers (3 to the zero is 1, 3 to the first is 3, etc-- sorry no exponents or superscript in the text box!)and every odd term is simply a summation. I'd really appreciate any help you can give.
Thanks very much,
Amy
Click here to see answer by richard1234(7193)

Question 524969: What is the next number in the sequence and why?
-1, 8, -56, 226, -1680
Click here to see answer by stanbon(75887)

Question 525207: I don't know what the topic should be haha(: but anyways, here is my question.
Simplify: -5(8-b)
I do not get how to do these type of problems at all, and the book just confuses me, thanks for your help!
Click here to see answer by lovefh8(1)

Question 525828: What is the mystery number x?
x has 3 digits
The tens digit is half the hundreds digits
The number is odd.
The sum of the digits is 9
Answer: x=
Click here to see answer by scott8148(6628)

Question 527391: 1 3 7 13 15 19 25 27 31 37 ____

Click here to see answer by mananth(16946)

Question 527412:
Click here to see answer by oberobic(2304)

Question 528063: I have a table setup where the term number is; and the values are:
Term# Term Values
1, 1
2, 2
3, 4
4, 8
5, 16
6, 32
I need to find an algebraic equation to match the table. I thought of using 2^0 but I have no term# of zero. Is it possible to get an equation to this table as it is?
Click here to see answer by Alan3354(69443)

Question 528376: Provide an example of an arithmetic series which totals zero. Using complete sentences, explain how you created the example.

Click here to see answer by Edwin McCravy(20056)

Question 528423: six consecutive multiples of five add up to 765
Click here to see answer by Alan3354(69443)

Question 528657: What is the value of A+B if the A is the fist term and the B is the common difference of the sequence whose 4th term is 3 and 20th term is 35?
Click here to see answer by Maths68(1474)

Question 528662: What is the value of A+B if the A is the first term and B is the common difference of the sequence whose 4th term is 3 and 20th term is 35?
Click here to see answer by Maths68(1474)

Question 529087: Consider the sequence x-3, x+1, 2x+8. One value for x is 5, making the sequence geometric.
find the other value of x for which the sequence is geometric
For this value of x find the common ratio and the sum of the infinite sequence
Click here to see answer by KMST(5328)

Question 530104: I need the fourth term in the following sequence and how you got it.
1,4,27,n,6125
Click here to see answer by jim_thompson5910(35256)

Question 530187: the sum of the square are two consecutive positive integers is 221. find the integers? i put as the answer 4,5?
Click here to see answer by jim_thompson5910(35256)

Question 530595: what will come after 1,3,9,31,129
Click here to see answer by sudhanshu_kmr(1152)

Question 530874: what is the answer to (1\9)^4 with the answer left in fractional form.

Click here to see answer by jim_thompson5910(35256)

Question 530874: what is the answer to (1\9)^4 with the answer left in fractional form.

Click here to see answer by oberobic(2304)

Question 531095: name two integers whose product is -18 and whose difference between the greatest and least is 9
Click here to see answer by oberobic(2304)

Question 531191: what is the next number in this pattern ?
1/5 , 1/4 ,3/10 , 7/20
Click here to see answer by lmeeks54(111)

Question 531250: Here are the first 5 terms of a arithmetic sequence 7 10 13 16 19 What is an expressiom in terms of n the nth term of the sequence?
Click here to see answer by stanbon(75887)

Question 531386: Identify the 10th term of the geometric sequence 7, �35, 175 �
Click here to see answer by stanbon(75887)

Question 532286: The ratio of two numbers is 5 to 3, and their sum is 56. What are the numbers?
Click here to see answer by stanbon(75887)

Question 532799: What is the answer to the nth of the sequence 4, 18, 40....+199x202?

Click here to see answer by scott8148(6628)

Question 534641: Find the fourth term in the sequence whose first three terms are 1 ,8 and 27.
The answer is 64 but how do you find it?
Click here to see answer by Alan3354(69443)

Question 535102: Find the missing numbers in the equivalent fractions below:
4/11 = 16/?
1/4 = 3/?
Click here to see answer by rfer(16322)

Question 535133: find th eeight term of a sequence whose first three terms are 13,6,-1
Click here to see answer by fcabanski(1391)

Question 535095: The first term of an arithmetic sequence is 1. The fifth term is 6. Find the 2009th term. Please show me all your work.Thanks in advance.

Click here to see answer by bucky(2189)

Question 535252: If you have three hearts. You have three colors that are pink, blue, and red. How many possibile arrangements can you make out of them considering that each color can be used more than once?
Click here to see answer by stanbon(75887)

Question 535762: sequence for 1/4,1/2,3/4,1,5/4,3/2,7/4,......as well as the general term fot it

Click here to see answer by KMST(5328)

Question 536481: The 3rd and 5th term of a G.P are 25 and 100 respectively.Find the 7th term of the G.P

Click here to see answer by Edwin McCravy(20056)

Question 536616: Please help me find a limit of an=n^2(n!)/(n+2)! the second is an=e^n+e^-n/e^2n-1
Click here to see answer by AnlytcPhil(1806)

Question 536605: please help me find the limit of an=(n+1)ln n-n ln(n+1)/ln n
Click here to see answer by richard1234(7193)

Question 537470: Find the sum of the sequence algebraically.
5k+3 is the common difference
k=1 is the starting term
Number of terms is 5
Click here to see answer by stanbon(75887)

Question 537595: EVALUATE:
......... to infinity
Click here to see answer by Edwin McCravy(20056)

Question 537595: EVALUATE:
......... to infinity
Click here to see answer by AnlytcPhil(1806)

Question 537770: I want to convert this ratio to one that begins with 1
25:1, What would it be if I wanted it to be 1:?
Click here to see answer by solver91311(24713)

Question 537770: I want to convert this ratio to one that begins with 1
25:1, What would it be if I wanted it to be 1:?
Click here to see answer by fcabanski(1391)

Question 537959: what does y= -4/9+y=1/6
Click here to see answer by rfer(16322)

Question 539317: The sum of three consecutive multiples of 3 is 342. Find these numbers.
Click here to see answer by Alan3354(69443)

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