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 1092982: Can someone tell me conway ( 1,11,21,1211 ........)the 20,21,22,23,24,25 place ??
greets
J-P
Click here to see answer by ikleyn(52788)

Question 1092982: Can someone tell me conway ( 1,11,21,1211 ........)the 20,21,22,23,24,25 place ??
greets
J-P
Click here to see answer by Edwin McCravy(20056)

Question 1093021: Please help..What does it mean "the sum of the terms involving the odd powers of r converges to 3 (ar+ar^3+ar^5+...)? Thank you.
Click here to see answer by ikleyn(52788)

Question 1093140: i am in year 7 and I really struggle with Algebra... at the moment we are doing patterns this one is so confusing
1, 5, 25, 125,----, -----, ------
I have to work out the rule... please help..
thanks Tasman

Click here to see answer by ikleyn(52788)

Question 1093043: 96,12,120,10,140,?

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Question 1093082: Can someone help?
How do I write a limit? I got a formula from a sequence, but not sure how to write a limit for it. How do I calculate to what value it converges? (My calculator says it converges, but I do not know to what value...
Thank you.
Click here to see answer by rothauserc(4718)

Question 1092733: 8,40,210,1155,6641�25, _ What is the next term
Click here to see answer by Edwin McCravy(20056)

Question 1092715: 3 -6 12 4 20 ?
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Question 1093217:
Click here to see answer by Alan3354(69443)

Question 1093360: How do you find 3 consecutive numbers such that 3 times the 2nd number is 93 more than the largest number?
Click here to see answer by josgarithmetic(39618)

Question 1093360: How do you find 3 consecutive numbers such that 3 times the 2nd number is 93 more than the largest number?
Click here to see answer by MathTherapy(10552)

Question 1093360: How do you find 3 consecutive numbers such that 3 times the 2nd number is 93 more than the largest number?
Click here to see answer by greenestamps(13200)

Question 1093360: How do you find 3 consecutive numbers such that 3 times the 2nd number is 93 more than the largest number?
Click here to see answer by richwmiller(17219)

Question 1093404: in the sequence
4, 5, 7, 10, 14, 19, 25
How can 53, 92, 99
be part of the sequence?
Click here to see answer by Edwin McCravy(20056)

Question 1093480: I need help...
How can I find a sum of an infinite sequence if there is no common ratio?
It is an alternating series, but no common ratio.
Thank you.
Click here to see answer by ikleyn(52788)

Question 1093520: find the indicate term correctly. a1=3/2, d=1/8, a10=?
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Question 1093524: 2,3,5,7,8,?,11,15
Click here to see answer by greenestamps(13200)

Question 1093524: 2,3,5,7,8,?,11,15
Click here to see answer by ikleyn(52788)

Question 1093489: How to find the eigtht term of the harmonic sequence 1/4,1/8,1/12
Click here to see answer by Fombitz(32388)

Question 1093609: find the sum of 3799 and 292

Click here to see answer by Alan3354(69443)

Question 1093613: Can you help me with this? Thank you.
I need to prove a series by the principal of mathematical induction.
sigma sign (up=n, down=(k=0))2^k=2^(n+1)-1

Click here to see answer by stanbon(75887)

Question 1093712: 4,5,15,45,135,405
Click here to see answer by addingup(3677)

Question 1093783: Find the sum of the first eight term. 2,4,8
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Question 1093785: Part (a): Find the sum of a + (a + 1) + (a + 2) + ... + (a + n - 1)in terms of a and n.
Part (b): Find all pairs of positive integers (a,n) such that n>=2 and a + (a + 1) + (a + 2) + ... + (a + n - 1) = 100.
Click here to see answer by ikleyn(52788)

Question 1093782: Insert 2 geometric means between -32 and 4
Click here to see answer by stanbon(75887)

Question 1093781: Insert 3 geometric means between 256 and 1
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Question 1093781: Insert 3 geometric means between 256 and 1
Click here to see answer by MathTherapy(10552)

Question 1093779: Insert 3 geometric means between 16 and 81
Click here to see answer by ikleyn(52788)

Question 1093780: Insert 3 geometric means between 16 and 81
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Question 1093949: What is the 15th term for sequence-8,-6,-4,-2 ?And the rule.
Click here to see answer by josgarithmetic(39618)

Question 1094051: 2, 6, _, _, 33, _
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Question 1094051: 2, 6, _, _, 33, _
Click here to see answer by greenestamps(13200)

Question 1094103: In a given series of 01 to 49,how many series if six numbers can be made where in each and every series should be in correlation ....I.e 1)1,2,3,4,5,6 2)2,3,4,5,6,7 3)3,4,5,6,7,8 etc
Click here to see answer by greenestamps(13200)

Question 1094341: invent a data set with 8 values that has a median of 21, a mean of 25, and a mode of 23.
Click here to see answer by greenestamps(13200)

Question 1094303: 16 19 24 31 what's the 8th term
Click here to see answer by MathTherapy(10552)

Question 1094327: How many terms from the sequence 5, 1, 0.2, 0.04, .....are needed to form a sum that is within 2.5 x 10^ -8 of the infinite sum?
Click here to see answer by greenestamps(13200)

Question 1094461: What comes next- 4,5,9,14,23,37?
Click here to see answer by Alan3354(69443)

Question 1094461: What comes next- 4,5,9,14,23,37?
Click here to see answer by Theo(13342)

Question 1094482: How many series of 06 numbers can be made of 1 to 49,where each and every number should be related to each and every series...I.e if we pick 1,14,22,37,39,45 then all the numbers should fall in the same series in sequence....thanx
Click here to see answer by greenestamps(13200)

Question 1094571: an arithmetic sequence is shown below . you are not given many terms of the sequence , but you do have enough to fill in the missing number . what number goes in the blank ? 14 , ______ , 56
Click here to see answer by ikleyn(52788)

Question 1094585: The sum of first three terms of gp is 37/8.The sum of the first 6 terms of the series is 3367/512.Find the first term and the common ratio
Click here to see answer by greenestamps(13200)

Question 1094586: solve ?,?,2,?,22,?,32,?,?,62 where ? is a missing number
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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