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 639183: Find a set of at least 5 data values that has a mean of 20 and a standard deviation of 6.
Click here to see answer by jim_thompson5910(35256)

Question 639198: I'm working on summation notation. there's an infinity on the top, n=0 on bottom, and 8(1/2)^n on the right. Where do I begin and how do I do it?
Click here to see answer by solver91311(24713)

Question 639190: If 2 cars leave a location at the same time headed in the same direction and one is traveling 65 mph and the ther car is traveling 45 mph, how long will it take the two cars to be 90 miles apart?
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Question 639363: Solve for the next two numbers in the following number sequence: 1728, 1000, 512, 216, _, _.
Click here to see answer by jim_thompson5910(35256)

Question 639512: How would I write this series in summation notation?
1 + 1/2 + 1/3 + . . . + 1/20
Click here to see answer by Tatiana_Stebko(1539)

Question 639731: Write the nth term of the following sequence in terms of the first term of the sequence. Please explain this in addition to offering the general term of the sequence. Thank you!
10, 20, 40, . . .
Click here to see answer by reviewermath(1029)

Question 639924: 1,4,27,4,25,216,7...
Click here to see answer by Edwin McCravy(20056)

Question 640266: describe a pattern in the sequence of numbers. predict the next number.
1, -4, 9, -16,....
Click here to see answer by reviewermath(1029)

Question 640296: 2.0,3.1,4.2,5.3 is this geometric arithmetic or neither?

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Question 640549: 4x-3=7+9x
Click here to see answer by jim_thompson5910(35256)

Question 640976: what is the cos y if a=8, b=7, c=15
Click here to see answer by Alan3354(69443)

Question 641799: explain why 400% od 5 and 4% of 599 are the same amount
Click here to see answer by MathLover1(20850)

Question 641912: 8/9=x+1/3(7)
So far I did the recepricoal 3/1 multiplied that by 7 and got 21 after that im stuck /:
Thank you in advance
Click here to see answer by solver91311(24713)

Question 642225: The formula for the general term of the infinite sequence 12,17,22,27,32....is
5n-7
5n
5n+2
5n+7 ?? Thank you for the help
Click here to see answer by stanbon(75887)

Question 642467: I would like to know what the sum for the first 6000 integers are? and is there a formula for this?

Click here to see answer by Alan3354(69443)

Question 642553: I need to know the missing numbers ASAP!
1,2,3,5,?,13,21,?
Click here to see answer by reviewermath(1029)

Question 642675: Find the rule/formula for:
6,14, 24, 36
Click here to see answer by MathLover1(20850)

Question 642821: 9,13,17,21,25,29... the formula for the general term of infinite sequence is
an=4n+9
an=4n-9
ab=4n
an=4n^2
Thank you
Click here to see answer by MathLover1(20850)

Question 642820: What is the formula for the n term of the arithmetic sequence 0,5,10,15,20...?
n
5n+5
5n
5n-5
Thank You
Click here to see answer by MathLover1(20850)

Question 642819: Cn=(-1)^n(n-17)^2 What are the first three terms?
Click here to see answer by jim_thompson5910(35256)

Question 643067: What are the next 4 numbers in the following sequence: 1,000; 721; 512; 343; 216?
Click here to see answer by Alan3354(69443)

Question 643336: What is the pattern for the following sequence Term 1,2,3,4,5, n Value 0,3,7,12,18 ? etc.
Click here to see answer by solver91311(24713)

Question 643437: List all the term in ascending order of the finite sequence
An=7n-1 for 1 <=n <=4
There are 4 terms
Please help me with this to explain how it works! Thank you
Click here to see answer by Edwin McCravy(20056)

Question 643622: find the sum of the whole number from 1 to 9999
Click here to see answer by josmiceli(19441)

Question 643622: find the sum of the whole number from 1 to 9999
Click here to see answer by Edwin McCravy(20056)

Question 643787: For the geometric sequence, what is the least value of n such that the nth term is greater than a 1000.
16, 24,36
Click here to see answer by stanbon(75887)

Question 643950: In the sequence an=-16+(n-1)8, the first term is? How do I put this together. Thank you?
Click here to see answer by jim_thompson5910(35256)

Question 644044: reduce to lowest terms 9/(x+7) + (x+9)/(x^2-49) + 9/(x-7)
Click here to see answer by MathLover1(20850)

Question 644198: the salaries of a,b,c are in the ratio 1:2:5 respectively.if the increments of 20%, 15%,10% are allowed respectively in their salaries , then what will be the new respective ratios of their salaries??
Click here to see answer by ankor@dixie-net.com(22740)

Question 644430: Solve the arithmetic sequence 16, 4, 1, 1/4
Click here to see answer by colliefan(242)

Question 645136: 175% of 40 is what number?
Click here to see answer by jim_thompson5910(35256)

Question 645386: The sum of four integers in an A.P. is 24 and their product is 945. Find the numbers.
Click here to see answer by technotarun(1)

Question 645630: what are the next three numbers in the sequence: 32,16,8,4,2?? thanks, Camille
Click here to see answer by checkley79(3341)

Question 645990: lisa's car gets 31 miles per gallon of gasoline. how many miles can she drive on 29 gallons of gas
Click here to see answer by solver91311(24713)

Question 646068: what did you do to get the next three numbers after these 1,1,2,3,5,8,

Click here to see answer by ankor@dixie-net.com(22740)

Question 646268: determine the number of terms in the arithmetic series...
a sub 1 = -27
a sub n = -51
s sub n = -195
Click here to see answer by ewatrrr(24785)

Question 647305: the sum of the first fifteen terms of an arithmetic terms progression is 270. find the first term and the common difference if the the fifteenth terms is 39.
Click here to see answer by ewatrrr(24785)

Question 648363: How would I write the series "10+12+14+16+18" using the summation symbol?
Click here to see answer by lynnlo(4176)

Question 648175: Can you explain the solution to this problem please?
In a G.P. the sum of the 2nd and 3rd terms is 6, the sum of the 3rd and 4th terms is -12. Find the 1st term and the common ratio.
Thanks very much
Click here to see answer by MathTherapy(10552)

Question 648819: Find the first two terms and the 50th term of each infinite sequence. An=2n-3
Click here to see answer by jim_thompson5910(35256)

Question 649932: 1,3,5,7, describe this pattern in words

Click here to see answer by lynnlo(4176)

Question 650103: The owner of a golf driving range sell discount cards for 1500 yen that are worth 50 yen off the regular price for a bucket of balls. The regular price for a bucket is 300 yen. At least how many buckets would you have to buy in order to pay less, overall, with the discount card option ?
Click here to see answer by ewatrrr(24785)

Question 650518: 47=2n+5(1-8n)
Click here to see answer by jim_thompson5910(35256)

Question 650830: what's the next number after 3 4 7 13 14 17 23
Click here to see answer by KMST(5328)

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