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 695666: whats the answer to 8,27,9,3,? and 35,33,29,21,?
Click here to see answer by Alan3354(69443)

Question 695686: The first term of a geometric series is -1 and the common ratio of 0.5, and the sum of 511.5?
Click here to see answer by Edwin McCravy(20056)

Question 696348: which number will come next in series:
7, 3, 11, 5, 2, ?

Click here to see answer by stanbon(75887)

Question 696492: A theater has 45 seats in the first row, 49 in the second row, 53 seats in the third row and so on. What is the general term for a sequence that gives the number of seats in row n?
Click here to see answer by josmiceli(19441)

Question 696630: Which number completes this sequence? 123, 117, 108, 99,
Click here to see answer by Edwin McCravy(20056)

Question 696761: if p,q,r,s are any four consecutive terms of an A.P. Show that
p�-3q�+3r�-s� = 0
Click here to see answer by Edwin McCravy(20056)

Question 696770: hi
i was asked to find:
1. the nth term for this sequence 1/2,1/4,1/6,1/8,
2.if its convergent or not?
3. and what is its limit?
what i figured out is the nth term of the sequence is 1/2n
but i'm not sure if its convergent or not?i dont know the limit?
thank you all help is appreciated?
Click here to see answer by MathLover1(20850)

Question 696821: log(1-x) expansion
Click here to see answer by nerdybill(7384)

Question 696783: check the formula
∑[n=0,k,n^2]=k(k+1)(2k+1)/(6)

is corrrect for k = 1,2 and 3
( Fact: the formula works for all positive integers k)
Click here to see answer by MathLover1(20850)

Question 696868: hi i'm confused about this question it asks the third term of an arithmitic sequence is 4 and the sum of the first 8 term is 36. write down the first 8 terms of the sequence.
Click here to see answer by reviewermath(1029)

Question 696893: Guess a simple formula for the sequence that begins: −1, 1/2,−1/3, 1/4,−1/5.
Click here to see answer by MathLover1(20850)

Question 696891: List the first five terms of the sequence defined by an = n^2/n! for n ≥ 0.
Click here to see answer by MathLover1(20850)

Question 696784: write the geometric series -9/2 + 3/2 - 1/2 + 1/6 - .......... + 1/39366 in summation notation

than

using the formula for the sum of an geometric series, computer the sum in the problem above

thanks
Macy Gunderson
Click here to see answer by Edwin McCravy(20056)

Question 696996: Two APs have the same common difference.The difference between their 100th term is100, what is the difference between their 1000th term?
Click here to see answer by god2012(113)

Question 696995: Solve The Pattern
2,3,5,7,____
Next Number

Click here to see answer by god2012(113)

Question 697086: guess a simple formula for the sequence hat begin: -1, 1/2, -1/3, 1/4, -1/5
Click here to see answer by josmiceli(19441)

Question 697085: guess a simple formula for the sequence hat begin: -1, 1/2, -1/3, 1/4, -1/5
Click here to see answer by MathLover1(20850)

Question 697083: list the first six terms of the sequence defined by bn=2*4*6......2n / 2^n for n is greater or equal to ( > _ ) 1
Click here to see answer by lynnlo(4176)

Question 697084: list the first six terms of the sequence defined by bn=2*4*6......2n / 2^n for n is greater or equal to ( > _ ) 1
Click here to see answer by lynnlo(4176)

Question 697121: if a1,a2,a3........are in h.p and f(k)=summation ar-ak,then a1/f(1),a2/f(2),...an/f(n) are in A.P or G.P or H.P or A.G.P
Click here to see answer by lynnlo(4176)

Question 695853: Which term of the sequence 20, 77/4,37/2,71/4.........is first negative term?
Click here to see answer by Edwin McCravy(20056)

Question 697503: hi i have a question that says: if a=3 and 3=0.6 what are the first 4 terms of the geometric series thank you any help is appreciated
Click here to see answer by Alan3354(69443)

Question 697509: what comes next in this sequense 1,3,7,15,31
Click here to see answer by rfer(16322)

Question 697638:

the number which when decreased by 27 � % gives 89 is
Click here to see answer by checkley79(3341)

Question 697537: Using exponential best-fit model for(2, 3.2) (5, 204.8) (7, 3276.68) what is the initial value
Click here to see answer by ankor@dixie-net.com(22740)

Question 697693: 1,5,19,65,211....
what can be the general term?
Click here to see answer by Edwin McCravy(20056)

Question 697719: Find r (common ratio) if a2= 6 and a5= 0.048. I've tried finding r and setting them equal to each other but I have not found a good answer yet.
Click here to see answer by Edwin McCravy(20056)

Question 697721: Give the common ratio and the next two terms of 1, g, 2g, 4g.
Click here to see answer by Alan3354(69443)

Question 697721: Give the common ratio and the next two terms of 1, g, 2g, 4g.
Click here to see answer by Edwin McCravy(20056)

Question 697767: kaitlyn and brittney are driving back to college after spring break. they plan to drive 120 miles on the first day. they would like to add the same amount to their driving distance each day. therefore, each day they will drive more than the previous day. they want to complete the 1200 mile trip in 5 days. find the number of miles they will drive on each of the five days.
Click here to see answer by ankor@dixie-net.com(22740)

Question 697893: What is the 20th term of the sequence that begins −3, 6, −12, 24�?
Click here to see answer by AnlytcPhil(1806)

Question 698149: Two numbers are in the ratio 1:5 and their sum is 54. The smaller number is

a)8 b)9 c)10 d)45
Click here to see answer by josmiceli(19441)

Question 698227: What is the next term in this sequence and how do you get it?
9,-3,1
12,-6

Click here to see answer by AnlytcPhil(1806)

Question 698397: 8% of what number is 16

Click here to see answer by Simnepi(216)

Question 698490: Question:
1=3, 2=3, 3=5, 4=4, 5=4, 6=3, 7=5, 8=5, 9=4, 10=3, 11=?, 12=?
Please tell me the answer for both question marks and the rationale.
Click here to see answer by Positive_EV(69)

Question 697970: Write the rule for the nth term of the following sequence. 1/4,1/2,1,2,4

Click here to see answer by Simnepi(216)

Question 698313:

How do I find the answer for what power of 10 needs to be added to 10 to the 6th divided by 10 to the 2nd to get 100,010,000?
I'm confused because I don't understand how the 1 is in the 10,000 place. What I've done so far is to take 10 to the 6th & subtract 10 to the 2nd which leaves me with 10 to the 4th which has a value of 10,000.
If I assume there is a typo in 100,010,000 and it should be 100,000,000 then I now need 4 more zeros so I'd have to add on 10 to the 4th.
Does this all make sense & am I on the right track?

Click here to see answer by checkley79(3341)

Question 698750: how do you work out the missing terms in the sequence?
1, 2, 3, 5, ? , 13, 21, ?,
Click here to see answer by vidya p(12)

Question 698973: What are the first three terms of the sequence defined by the following equation?
an = 7 + (n - 1)5
Click here to see answer by mananth(16946)

Question 699177: the numbers are written side by side as follows (starting from 1) 12345689..... till the hundredth digit,then fnd the remainder when this series is divided by : 2,4, 8 ,16,3,9,5.
Click here to see answer by Edwin McCravy(20056)

Question 699385: list the first four terms of the sequence defined by
an = (n+1)!/2n for n is greater or equal to ( > _ ) 1
Click here to see answer by stanbon(75887)

Question 699388: write arithmetic series 17+21+25+......+417 in summation notation
Click here to see answer by reviewermath(1029)

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