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 782554: the sequence 6, 24, 54, 96,... comes from the surface area of cubes.
they want me to find the next number in the sequence but I don't know how.
I do know the formula for the surface area of a cube but I don't know what to plug in to get those numbers.
Click here to see answer by stanbon(75887)

Question 782245: Hi I need help finding the first term of an Arithmetic Series with the given info.
My common difference is 6
My Sn is 574
My N is 14
The answer according to my text book is 2 can you help me?
Click here to see answer by MathTherapy(10552)

Question 782661: if you are 3/7 of the way and have 84 miles left to drive, how long is the entire length of the trip

Click here to see answer by lwsshak3(11628)

Question 782700: What comes next in the series 15, 13, 10, 8, 5, 3
Click here to see answer by stanbon(75887)

Question 783124: How Do You Solve This Equation?
5(d-7)=90
I Am Getting Very Confused.
Click here to see answer by Alan3354(69443)

Question 783167: What is the answer to the expression
(8/27) to the (-4/3) power
Click here to see answer by stanbon(75887)

Question 783312: if i have $21.00 and i want to take 50% off,how much is left?
Click here to see answer by psbhowmick(878)

Question 783369: Pleaase i need help on this guestion The 4th term of g.p is 108 and the 6th term is 972 what are the possible two value of the (1)common ratio (2)the 3rd term.
Click here to see answer by stanbon(75887)

Question 783368: How do I find the indicated term of this geometric sequence??
a1 = 5, r = 2, n = 6
Click here to see answer by stanbon(75887)

Question 783203: How to find the seventh term in the s�quence 3 7 15 31 63

Click here to see answer by Cromlix(4381)

Question 783473: 99, 98, 94, 85, 69 what is the next number in this series
Click here to see answer by fcabanski(1391)

Question 783473: 99, 98, 94, 85, 69 what is the next number in this series
Click here to see answer by Cromlix(4381)

Question 783473: 99, 98, 94, 85, 69 what is the next number in this series
Click here to see answer by solver91311(24713)

Question 783818: After the first two terms in the following sequence, each number is the sum of the preceding two terms. Find the missing numbers.
4, __, __, __, __, 67
Click here to see answer by fcabanski(1391)

Question 783381: Please help me solve this qeustion, The second term of a g.p is 6 and the 4th term is 24 find the sum of the first 4 term
Click here to see answer by KMST(5328)

Question 784170: Am learning about quadratic & fraction sequences and am stuck on a question in homework.
Find nth term rule for following sequence
1, 1/2, 1/4, 1/9
I know you deal with the numerator & denominator separately so the numerator for the rule is 1, but I can't work out the sequence for the denominator. They look like square numbers except for the 2 so is it possible there is a mistake? It s a 5 part question and have done the other ones with no trouble.
Thanks
Vicky
Click here to see answer by oscargut(2103)

Question 784184: Im so Lost could u please explain to me how to fin the sum 1+2....+80
Click here to see answer by fcabanski(1391)

Question 785452: What missing numbers in sequence 6, , , , 26
Click here to see answer by KMST(5328)

Question 785531: Find the pattern to the number puzzle
2 -6 -12
4 1 4
8 -6 -48
Click here to see answer by Val100(2)

Question 785562: Differnce between 2,5,26,677 to help find the recursive formula
Click here to see answer by KMST(5328)

Question 785568: What is the sum of all natural counting numbers from 1-9 inclusive

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Question 785644: At 3:00 PM a man 135 cm tall casts a shadow 141 cm long. At the same time, a tall building nearby casts a shadow 181 m long. How tall is the building?
Click here to see answer by Alan3354(69443)

Question 786084: What is the sum of -13 + 5 + (-7) ?
Is it -15 ?
Click here to see answer by lenny460(1073)

Question 786119: The arithmetic series 3+7+11+15+...is given.
How many terms have a sum less than 500.
Click here to see answer by Edwin McCravy(20056)

Question 786518: whats the product of 7/11 times 5/4 ?
Click here to see answer by MathLover1(20850)

Question 787047: Five times a number decreased by 18 minus 4 times the same number is 236.
What is the number?

Click here to see answer by stanbon(75887)

Question 787076: The measures of the angles of a triangle in degrees can be expressed by the ratio 5:6:7. What is the sum of the measures of the two larger angles?
Click here to see answer by stanbon(75887)

Question 787099: What is the missing number from this sequence
8, _, 3, -1
Click here to see answer by solver91311(24713)

Question 787109: 2,...,...,47,62 what are the two missing numbers? please help me! THANK YOU

Click here to see answer by solver91311(24713)

Question 787664: whole numbers greater than 6 and less than 16

Click here to see answer by Edwin McCravy(20056)

Question 788113: 12^10, (12^10 + 12^10), (12^10 + 12^10 + 12^10), ...
In the sequence above, the first term is 12^10 more than the preceding term. Which term in the sequence is equal to 12^12?
A. The 3rd term
B. The 12th term
C. The 24th term
D. The 120th term
E. The 144th term

Click here to see answer by KMST(5328)

Question 788283: i forgot the formula....find the sum of the numbers in the sequence, 8+9+10+11+...400
Click here to see answer by Edwin McCravy(20056)

Question 788286: the sum of a number n and 7 , divided by 18

Click here to see answer by Edwin McCravy(20056)

Question 788794: How many terms of the series 2 + 2√2 + 4 .....will amount to 30 + 14√2
Click here to see answer by Edwin McCravy(20056)

Question 788803: what comes next in the series 5 6 14 45 184 .....
Click here to see answer by stanbon(75887)

Question 788803: what comes next in the series 5 6 14 45 184 .....
Click here to see answer by Edwin McCravy(20056)

Question 788830: 4/7*14/12
Click here to see answer by rfer(16322)

Question 789216: a minor league baseball team plays 125 games in a season. if the team won 17 more than three times as many games as they lost, how many wins and losses did the team have?
Click here to see answer by harpazo(655)

Question 789355: the first term of a sequence is 10 the term to term rule is add 5 what is the sixth term of the sequence
Click here to see answer by stanbon(75887)

Question 789892: What should be the next number in the following series? 1 2 8 48 384?

Click here to see answer by Cromlix(4381)

Question 789893: What should be the next number in the following series? 100 96 104 88 120 56?

Click here to see answer by Cromlix(4381)

Question 789899: what is the next term in this sequence
1/20, 3/20, 1/4,...
Click here to see answer by Cromlix(4381)

Question 789969: what is the incorrect number in the sequence 12,19,25,33,39.....and why?

Click here to see answer by josgarithmetic(39618)

Question 789969: what is the incorrect number in the sequence 12,19,25,33,39.....and why?

Click here to see answer by solver91311(24713)

Question 790266: how do you find the sum of 7/8 and 4/9 thank you.
Click here to see answer by rfer(16322)

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