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 959935: Solve the following if 11=20 12=31 13 = 42 14 =??? Choose the correct answer a 55 b 53 c58 d 43
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Question 959819: how to total 21 using the numbers 15, 9, 7, 2
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Question 959875: What number comes next in the following number sequence?
3,4,6,15,9,48,12....
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Question 959812: What is the rule of the table?
x | 1 | 2 | 3 | 4 | 5 | 6 |
y | 1 | 3 | 7 | 15 | 29 | 51 |

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Question 959047: 3, 9, 24, ?
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Question 958279: what is the nth term of the sequence 7,5,2,1
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Question 958856: The product of the first and the third terms of an arithmetic sequence is 5. If all terms of the sequence are positive integers, what is the fourth term?
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Question 956850: what is the pattern: 12 9 3 6 3 1 ?
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Question 960415: what will be the next in series 4,25,64,121,196,? with solution...
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Question 960467: What numbers are missing from the pattern below? Enter your answer, using a comma to separate each number.
3, 4, 6, 9, ? , ? , ? , ? , 39, 48, 58, 69
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Question 960466: Write the rule for the nth term of the geometric sequence 9,4,-1,...
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Question 960462: Find the common difference of the arithmetic sequence. 1/2, 1/6, -1/6, -1/2, ...
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Question 960620: Write the series in expanded form and find the sum.
5
∑(4j-16)
j=1
A. (4 ∙ 1 - 16) - (4 ∙ 2 - 16) - (4 ∙ 3 - 16) - (4 ∙ 4 - 16) - (4 ∙ 5 - 16) = -20
B. (4 ∙ 1 - 16) + (4 ∙ 2 - 16) + (4 ∙ 3 - 16) + (4 ∙ 4 - 16) + (4 ∙ 5 - 16) = -20
C. (4 ∙ 1 16) + (4 ∙ 5 - 16) = -8
D. (4 ∙ 1 - 16) - (4 ∙ 5 - 16) = -16
Click here to see answer by Edwin McCravy(20056)

Question 960486: Find the next three terms of the sequence 7,-20,61
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Question 960483: Write a rule for the nth term in the following sequence:
-5, 10, -15, 20
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Question 960878: Solve this []+[]+[]=30 fill the boxes using 1,3,5,7,9,11,13,15
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Question 960824: What is the sum of the series 0+1/2+2/3+3/4+4/5+5/6+6/7+7/8?
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Question 960910: I have this formula 20 + 12 / 4 + 7 x 3 = 29 how do I arrange it to get 29?
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Question 960465: Find the sum of the infinite geometric series. 1/2+1/12+1/72+...
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Question 961011: find the common ratio of the geometric sequence -1/3,1,-3,9,...
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Question 961014: Find the common ratio of the infinite geometric series with the given sum and first term s=7/9 a1=7/10
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Question 961013: write the rule for the nth term of the arithmetic sequence 9,4,-1,...
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Question 961086: the second term of a geometric progression is 36 more than the first term. the difference between the fourth and the third is 900. calculate the common ratio and the first term.
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Question 952397: 1 3 5 7 9 11 13 15 how to Add any three numbers to get 30. Only simple adding.
Click here to see answer by Olasunkanmi2(1)

Question 961982: Please can you help me with this. I've been trying but I can't seem to solve it.
If the sum of the 8th and 9th terms of an a.p is 72 and the 4th term is -6, find the common difference.
Thank you so much in advance.
Click here to see answer by Theo(13342)

Question 962006: Evaluate the sum of the first 10 terms of the series 8, 6, 4.5, 3.375
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Question 961008: What are 5 geometric means between 567 and 112?
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Question 961170: Does this data set follow arithmetic or geometric sequence?
1/20, 2/30, 3/40, 4/50
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Question 962153: which are three numbers that (x+y+z)=30 where x=y=z={1,3,5,7,9,11,13,15}
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Question 962235: using odd numbers from 1-15 that can be repeated, solve this equation : "_+_+_=30"
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Question 962517: Find the number of data within 1 standard deviation of the mean: 52, 76, 69, 63, 69, 68, 65, 61.
Thanks!
Click here to see answer by jim_thompson5910(35256)

Question 962547: Given a solution to the question, if the first three terms of a Gp are 2x-1, x+1 and x. find the values of x, and the sum to infinity
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Question 962850: 0,3,2,2,4,4,6,6,9,9,_,
Find the next number in the sequence.
Hint: RMTK

Click here to see answer by Edwin McCravy(20056)

Question 963080: What number comes next in this series?
100 96 104 88 120 56
Click here to see answer by macston(5194)

Question 963147: how do i find the possible values of x in this sequence:
5x, x^2, x^3/5

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Question 963241: 1,3,5,7,9,11,13,15 wat three digits can I add to get 30
Click here to see answer by Alan3354(69443)

Question 963082: What letter comes next in this series?
A Z E B I Y O
Click here to see answer by Edwin McCravy(20056)

Question 963451: in an arithematic sequence X12=36 and d=5,find X20 and X8

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Question 963553: How can i find the first number of a sequence if the next number is 3 and the sum is 17
Click here to see answer by Edwin McCravy(20056)

Question 235080: what is the next term in this pattern?
2,6,18,54,162,486

Click here to see answer by jilalbenkad(2)

Question 963684: the 5th term of a sequence is -17 and the 11th term is -47. construct an arithmetic sequence that would model this pattern
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Question 963754: if the number of sequence is 17 and the next number is 3,what is the first number?
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Question 963802: what is the sum of the last four terms of the series 7+9+11+...+21?
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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