Questions on Algebra: Sequences of numbers, series and how to sum them answered by real tutors!

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Question 1039326: An auditorium has 20 seats on the first row, 24 seats on the second row, 28 seats on the third row, and so on and has 30 rows of seats. How many seats are in the theatre?

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Question 1039326: An auditorium has 20 seats on the first row, 24 seats on the second row, 28 seats on the third row, and so on and has 30 rows of seats. How many seats are in the theatre?

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Question 1039326: An auditorium has 20 seats on the first row, 24 seats on the second row, 28 seats on the third row, and so on and has 30 rows of seats. How many seats are in the theatre?

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Question 1039313: Insert the indicated number of arithmetic means between the two given numbers
Three; a+2 and 5a-10
So it looks like this
a+2 _ _ _ 5a-10
Find the three terms between them
Thank you please help me
Please with solution so i can study it myself

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Question 1039295: The 4 arithmetic means between -2 and 23 are ????
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Question 1039333: Rina will hold her piano recital at the music hall of her school. The music hall has 12 rows of seats, in which the first row has 15 seats. Each succeeding row has 3 more seats than the one in front of it. What is the maximum number of people who can be seated in the music hall?
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Question 1039333: Rina will hold her piano recital at the music hall of her school. The music hall has 12 rows of seats, in which the first row has 15 seats. Each succeeding row has 3 more seats than the one in front of it. What is the maximum number of people who can be seated in the music hall?
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Question 1039333: Rina will hold her piano recital at the music hall of her school. The music hall has 12 rows of seats, in which the first row has 15 seats. Each succeeding row has 3 more seats than the one in front of it. What is the maximum number of people who can be seated in the music hall?
Click here to see answer by MathTherapy(10552) About Me 
Question 1039333: Rina will hold her piano recital at the music hall of her school. The music hall has 12 rows of seats, in which the first row has 15 seats. Each succeeding row has 3 more seats than the one in front of it. What is the maximum number of people who can be seated in the music hall?
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Question 1039328: Consider the arithmetic series 2+9+16+... . Find the number of terms that will give a partial sum of 335.
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Question 1039329: If a2=15 and a9=39, what is a16?
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Question 1039413: which term of the arithmetic sequence is -18,given that a1=7 and a2=2?

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Question 1039414: Find the sum of the arithmetic sequence.
3/2 + 1/2+...+(-11/2)

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Question 1039350: Hello! In this problem, I had some trouble: "Find the value of t(subscript 2) + t(sub3) + t(sub4) + ... + t(sub 98) if t (sub 1) + t (sub 2) t (sub 3)... is an arithmetic progression with the common difference = 1, and S (sub 98) = 137.
Please help me on this one. I've screwed up two solutions of it already...

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Question 1039350: Hello! In this problem, I had some trouble: "Find the value of t(subscript 2) + t(sub3) + t(sub4) + ... + t(sub 98) if t (sub 1) + t (sub 2) t (sub 3)... is an arithmetic progression with the common difference = 1, and S (sub 98) = 137.
Please help me on this one. I've screwed up two solutions of it already...

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Question 1039330: Hello ! I need help with this problem. At first I thought I had solved it, but then whoops, I calculated 3 means instead of 5, and upon looking closer, I discovered that my whole process was utterly wrong... I looked at my book for help, but it didn't really make me understand anything. So here's the question: Insert 5 arithmetic means between (x+3y) and (9y-5x). I'll appreciate any help, thanks!
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Question 1039332: Hey! So I was finishing up homework when yet another problem had me crying. After hours of trying to do it on my own, I decided to ask for help. Okay, so If 5x+2, 2x^2 + 8, 24x - x^2 form an arithmetic sequence, find x and the 12th term. I'm stumped trying to solve this. I literally have no idea. I tried subtracting the first term from the second to get the common difference, but hey, when I tried subtracting the third term from the second one, the "common" differences were not so common. Maybe the given is wrong? I don't know...
Click here to see answer by Fombitz(32388) About Me 
Question 1039332: Hey! So I was finishing up homework when yet another problem had me crying. After hours of trying to do it on my own, I decided to ask for help. Okay, so If 5x+2, 2x^2 + 8, 24x - x^2 form an arithmetic sequence, find x and the 12th term. I'm stumped trying to solve this. I literally have no idea. I tried subtracting the first term from the second to get the common difference, but hey, when I tried subtracting the third term from the second one, the "common" differences were not so common. Maybe the given is wrong? I don't know...
Click here to see answer by ikleyn(52787) About Me 

Question 1039331: Sonya runs a small store. She wants to display the cans of corned beef by stacking them in the shape of a triangle. Sonya's shelf can accommodate 7 rows of cans stacked on top of each other. If each row has 2 cans more than the row above it, and the topmost row contains 5 cans, how many cans did Sonya place at the bottom?
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Question 1039522: 27 125 343 1331 ? 4913
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Question 1039521: Find the number of diagonals that can be drawn when given n sides of a convex polygon.
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Question 1039532: The 4th term of an arithmetic sequence is 28 and the 7th term is 43. Find the 79th term.
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Question 1039531: 7,16,8,27,9,? my question is whats the next number ? my thinking was it increases by 10-1 then up 20-1 so the answer should be up 30-1 would be 38 but that's not an option.. Help please
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Question 1039531: 7,16,8,27,9,? my question is whats the next number ? my thinking was it increases by 10-1 then up 20-1 so the answer should be up 30-1 would be 38 but that's not an option.. Help please
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Question 1039515: Solution of Sn=[2(1/5)+(12-1)-1/2?

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Question 1039660: Find the 10th term of an arithmetic sequence whose 5th term is 1.25 and whose 15th term is 18.
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Question 1039661: Find the 1st element of an arithmetic sequence whose 18th term is 20 and whose common difference is -2.
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Question 1039671: Find the 10th term of an arithmetic sequence whose 5th term is 1.25 and whose 15th term is 18.
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Question 1039749: How to solve the 21 term arithmetic sequence 25,23,21,19,17...

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Question 1039748: 12 18 36 90 270 ?
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Question 1039748: 12 18 36 90 270 ?
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Question 1039756: The third term of an arithmetic sequence is -12 and the seventb term is 8. What is the the sum of the first 10 terms? Please show me your solution. Thanks! Godbless
-Student

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Question 1039756: The third term of an arithmetic sequence is -12 and the seventb term is 8. What is the the sum of the first 10 terms? Please show me your solution. Thanks! Godbless
-Student

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Question 1039880: Which term of the arithmetic sequence is -18 , given a1=7 and a2=2?
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Question 1039880: Which term of the arithmetic sequence is -18 , given a1=7 and a2=2?
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Question 1039882: PLEASE HELP!!!
This is what the question says. I don't understand what they want me to do!
Write the first five terms of the sequence.
a_n = n^2 + 2

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Question 1039911: Find the 30th terms of thr sequence 48,45,42,39
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Question 1039911: Find the 30th terms of thr sequence 48,45,42,39
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Question 1039940: what is the first term ,when the second term is 3/4 and the fourth term is 3 of geometric sequence
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Question 1039939: (5ײ-17×-15)÷(×-4)
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Question 1039963: form a sequence that has one arithmetic mean between 36 and 48
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Question 1040095: find the 30m th term as well as the sum of the 1st twenty terms of each of the following arithmetic sequences:
i) -15; -8; -1

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Question 1040094: The 3rd term of an arithmetic sequence is 12 and its 7th term is 32, what is its 11th term?
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Question 1040154: How many terms of the series 5+9+13+17... Must be added so that the sum will be 230? Please show the solution
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Question 1040154: How many terms of the series 5+9+13+17... Must be added so that the sum will be 230? Please show the solution
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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