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 876098: Nth term 2, 10, 50,...
Click here to see answer by richwmiller(17219)

Question 884972: The 100th term of an AP is 98, and the common difference is 2. Find the first three terms.
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Question 884965: If AP is given then how to find first negative term
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Question 883210: 19,24,6,17,2? ? ?3,12,1,2,15
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Question 885027: What is Third Number among Following List ?
26, 37, 73

Click here to see answer by solver91311(24713)

Question 885135: What is Third Number among Following List ?
17, 46, 82
Click here to see answer by richwmiller(17219)

Question 885234: What is the remainder of 216 divided by 23
Click here to see answer by jackspratt999(5)

Question 885331: a) 18,10,6,4.............
b)18,20,24,32..............
c) 7,13,24,25.............
d) 4,5,7,11,19..........
Click here to see answer by richwmiller(17219)

Question 885192: If a2 = 2a1 + 3 and a3 = 4a2 + 3 then in terms of a1, a1 + a2 + a3 =
Click here to see answer by richwmiller(17219)

Question 885435: 2, 3, 7, 16, 32, 57
What is the general term�? tn=?
I've figured out that the sequence goes up by 1 then 4 then 9 then 16 then 25 always increasing by 2 more then the last number increase by
but my problem is that I don't know how to write the general term
Click here to see answer by richwmiller(17219)

Question 885504: The length of a rectangle is 3x-1 meters and the width is 7x+2 meters, find its area.
Click here to see answer by mananth(16946)

Question 885555: If I worked from 7:21 to 3:30 how many hours is that
Click here to see answer by Theo(13342)

Question 885500: if 3x+5x+9x+12x=319,then 6x+3=?
Click here to see answer by jim_thompson5910(35256)

Question 885548: what is the sum of the first five terms of the geometric sequence in which a1=10 and r=1/2

Click here to see answer by richwmiller(17219)

Question 885767: find the sum of 100 terms of the ap 0.7,0.71,0.72...

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Question 885816: use Gauss approach to find the following signs (do not use formulas0.
a. 1+2+3+4+...+98
b. 1+3+5+7+...+1003
The sum of the sequence is
Click here to see answer by rothauserc(4718)

Question 885870: Solve for x
OO
E 8x^(5n) = 17
n=1

I get confused with the 5n
I started out by taking out the 8 and putting it in front of the E and then dividing both sides by 8.
I was left with x^5n = 17/8
I then used the formula a/(1-r) to try to solve for x
i came up with x^5/(1-x^5)=17/8
I cross-multiplied and came up with 17-17x^5 = 8x^5 which reduced to 17/25 = x^5
So is my answer really (17/25)^(1/5)?
Click here to see answer by josgarithmetic(39618)

Question 885924: I've some number sequences to solve any chance as i'm struggling finding the rule out thanks.
2734678500
1745906427
9653287650
3884218044
6521949962
7534225012

thanks in advance

Click here to see answer by richwmiller(17219)

Question 885956: 7 17 25 ? 49 67 77 what will come in the place of ?
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Question 885986: hi i'm after one common number that fits into each sequence (giving me with 6 SINGLE separate numbers)
thanks in advance
Click here to see answer by richwmiller(17219)

Question 878891: show that 1/2!+2/3!+3/4!+...+n/(n+1)!=1-1/(n+1)!. where n!=1*2*3*...*n.

note:*=multiply

Click here to see answer by Edwin McCravy(20056)

Question 886100: what is the next number which completes the sequence below?
1 1 3 2 4 6 5 25
Click here to see answer by Edwin McCravy(20056)

Question 884027: What is the sum of the arithmetic series ?

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Question 886228: The edge of a cube. is 80cm long .How its volume and surface area i change if the egde is decreased by 10%?
Click here to see answer by JulietG(1812)

Question 886373: What is the next number in the sequence: 2 3 4 3 6 7
Click here to see answer by Edwin McCravy(20056)

Question 886479: in 131 years 1 kilometer traveled is how many feet per year?

Click here to see answer by Alan3354(69443)

Question 886500: 10,30,15,16,48,24,25 what number is next

Click here to see answer by JulietG(1812)

Question 886788: Find the next two terms using the pattern in the difference between terms for the sequence : 1,2,6,15,31. thank you
Click here to see answer by richwmiller(17219)

Question 887117: I need to find the sum of the series (1/2^n) from 1 approaching infinity.
I used the formula a/1-r
my first term is 1/2 and Im having difficulty finding my ratio. I first thought my ratio was 2 since that is what n is being multiplied by. But that didn't work. I also tried 1/2 but that didn't work either.
Click here to see answer by Edwin McCravy(20056)

Question 887257: Multiple write the answer In simplest form 8/21 7/32
Click here to see answer by 2897696(96)

Question 886879: A sequence starting with 1 and is formed by doubling the previous number and then subtracting 1
Click here to see answer by richwmiller(17219)

Question 887477: find the 8th term of first term 10 common factor of 1.75
i tried (10*1.75)=17.5*8=140
but i dont think that is right it looks to big to me.
thanks for the help:)
Click here to see answer by DrBeeee(684)

Question 887613: Express the given sums using sigma notation for the following:
a) 2+5+10+14+18
b) 5+25+125+625
c) 1/2+1/2�3+1/3�4+...+1/99�100
Thank you in advance for your help.
Click here to see answer by stanbon(75887)

Question 887609: 1. What number does not belong 1/16,1/4,1/6,1/2,1,2
2.A plane arrived Tuesday at 8:00 pm Wednesday it was 64 seconds late. How many seconds late would it be in a half hour?
Click here to see answer by stanbon(75887)

Question 887521: Sandy�s first four test scores this term are 73, 87, 81, and 76. To have at least a B
test grade, Sandy needs to average at least 80 on the five term tests (which count
equally). Let t represent Sandy�s score on the fifth test, and write an inequality that
describes the range of t-values that will meet Sandy�s goal.

Click here to see answer by Theo(13342)

Question 887941: In the following sequence: 1,8,27,64,125 what is the rule ?
Click here to see answer by stanbon(75887)

Question 887956: Given that 1, x and 3 are consecutive terms of an A.P. and 1, y and x are consecutive terms of a G.P., find the possible values of x and y.
Click here to see answer by richwmiller(17219)

Question 887831: Find the 8th term of the geometric sequence -4,6,-9,
Click here to see answer by richwmiller(17219)

Question 888124: 1,1,2,4,7,13,24,what is next term?
Click here to see answer by josgarithmetic(39618)

Question 888105: The sequence 15, 21, 27, 33, 39, ...., 75 has 11 terms. Evaluate the related series.
Click here to see answer by luke94(89)

Question 888130: If 5��5⁴�5⁶ׅ�5�ᵃ=(0.04)⁻�⁸,how to determine the value of a? thanks u so much tutor ^^,it is a arithmetic progression.

Click here to see answer by luke94(89)

Question 887839: If the 5th term of an arithmetic sequence is 32 and the 10th term is 57, find the following;
A) d
B) A1
C) Formula for An
D) A22
Click here to see answer by richwmiller(17219)

Question 888215: what is the half life of a compound that decays at the formula y=ae^-0.0736t
Click here to see answer by jim_thompson5910(35256)

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