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

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Question 1155806: 3,7, ? , 63,255, ? , 626,511
What are the missing numbers?
And explain please?

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Question 1155392: The seventh term of geometric sequence is 32 and the last term is 512. If the first term is 1/2, find the number of term and the sum of the progression
Click here to see answer by Boreal(15235) About Me 

Question 1155911: if n ≥ 1. Prove by induction:
a^(n) - 1 = (a-1)*(a^(n-1)+a^(n-2)+...+a+1)

Click here to see answer by ikleyn(52788) About Me 

Question 1156152: A race car driver increases her speed at a constant rate of 20/9 meters per second.
What will be her speed after 20 seconds if her initial speed is 17 meters per second?

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Question 1156202: 2 5 4 15
2 6 4 12
1 5 ? 5
6 4 5 ?

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Question 1156304: sum of a geometric series is 46.5. The first term of the series is 24​, and its common ratio is 0.5. How many terms are there in the​ series?
Click here to see answer by jim_thompson5910(35256) About Me 
Question 1156304: sum of a geometric series is 46.5. The first term of the series is 24​, and its common ratio is 0.5. How many terms are there in the​ series?
Click here to see answer by MathTherapy(10552) About Me 

Question 1156464: What is the general formula for the sequence: 0 1 4 10 20 35 56
Click here to see answer by Boreal(15235) About Me 
Question 1156464: What is the general formula for the sequence: 0 1 4 10 20 35 56
Click here to see answer by greenestamps(13200) About Me 

Question 1156485: Write an explicit formula for the sequence.
−4, 8, −28, 80, −244,...

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Question 1156485: Write an explicit formula for the sequence.
−4, 8, −28, 80, −244,...

Click here to see answer by greenestamps(13200) About Me 

Question 1156495: One number is 3 times another. The sum of their reciprocals is
16/3. Find the numbers.

Click here to see answer by josgarithmetic(39618) About Me 
Question 1156495: One number is 3 times another. The sum of their reciprocals is
16/3. Find the numbers.

Click here to see answer by ikleyn(52788) About Me 
Question 1156495: One number is 3 times another. The sum of their reciprocals is
16/3. Find the numbers.

Click here to see answer by MathTherapy(10552) About Me 
Question 1156495: One number is 3 times another. The sum of their reciprocals is
16/3. Find the numbers.

Click here to see answer by greenestamps(13200) About Me 

Question 1156496: The sum of a number and its reciprocal is 37/6. Find the number.
Click here to see answer by MathLover1(20850) About Me 
Question 1156496: The sum of a number and its reciprocal is 37/6. Find the number.
Click here to see answer by MathTherapy(10552) About Me 

Question 1156497: The sum of the reciprocals of 2 consecutive odd integers is 8/15. Find the numbers.
Click here to see answer by josgarithmetic(39618) About Me 
Question 1156497: The sum of the reciprocals of 2 consecutive odd integers is 8/15. Find the numbers.
Click here to see answer by MathTherapy(10552) About Me 

Question 1156655: find the? 13, 16, 22, 26, 62, ?
Click here to see answer by Edwin McCravy(20056) About Me 

Question 1156656: 24589, 197084, 961582, ? find the?
Click here to see answer by Edwin McCravy(20056) About Me 

Question 1156657: The forth term of an ap is 96.while the 25th term is 173.find the:(a)19thterm (b)the sum of 13th and 56th terms. Please help me to solve this equation.
Click here to see answer by mananth(16946) About Me 

Question 1156687: 4, ?, 5, 2, 1, ?, 1, 2, 3, 4, 3, 2, 1, 5, 9, 2, 7, 1, ?, 5, ?, ?, 9, 0, 4, 1, 0, 4, 2, ?, 9, 2, 1, 5, 2, ?, ?, 5, 2 find the?
Click here to see answer by greenestamps(13200) About Me 
Question 1156687: 4, ?, 5, 2, 1, ?, 1, 2, 3, 4, 3, 2, 1, 5, 9, 2, 7, 1, ?, 5, ?, ?, 9, 0, 4, 1, 0, 4, 2, ?, 9, 2, 1, 5, 2, ?, ?, 5, 2 find the?
Click here to see answer by ikleyn(52788) About Me 

Question 1156686: 479658, 915187109, 178611788815, ? find the?
Click here to see answer by greenestamps(13200) About Me 
Question 1156686: 479658, 915187109, 178611788815, ? find the?
Click here to see answer by ikleyn(52788) About Me 

Question 1156685: 79211, ?, 1503, 71 find the?
Click here to see answer by greenestamps(13200) About Me 
Question 1156685: 79211, ?, 1503, 71 find the?
Click here to see answer by ikleyn(52788) About Me 

Question 1156684: 0, 1, 2401, 234256, ?, 1679616 find the?
Click here to see answer by greenestamps(13200) About Me 
Question 1156684: 0, 1, 2401, 234256, ?, 1679616 find the?
Click here to see answer by Alan3354(69443) About Me 
Question 1156684: 0, 1, 2401, 234256, ?, 1679616 find the?
Click here to see answer by ikleyn(52788) About Me 

Question 1156683: 0, 1, 2, 1, ?, 1, 1, 4, ?, 2, 1, 6, 3, 9, ?, 5, 9, 6, ?, ?, ?, 13, ?
Click here to see answer by greenestamps(13200) About Me 
Question 1156683: 0, 1, 2, 1, ?, 1, 1, 4, ?, 2, 1, 6, 3, 9, ?, 5, 9, 6, ?, ?, ?, 13, ?
Click here to see answer by ikleyn(52788) About Me 

Question 1156701: Three consecutive terms of a geometric sequence are:
2a-2,2a+2,5a+1. Determine the value
of each of the terms. Use these term values to determine the equation(s) for the general term of
the sequence (tn). (think quadratic)

Click here to see answer by Boreal(15235) About Me 
Question 1156701: Three consecutive terms of a geometric sequence are:
2a-2,2a+2,5a+1. Determine the value
of each of the terms. Use these term values to determine the equation(s) for the general term of
the sequence (tn). (think quadratic)

Click here to see answer by greenestamps(13200) About Me 

Question 1156654: find? 0, 1, 2, 1, ?, 1, 1, 4, ?, 2, 1, 6, 3, 9, ?, 5, 9, 6, ?, ?, ?, 13, ?
Click here to see answer by greenestamps(13200) About Me 
Question 1156654: find? 0, 1, 2, 1, ?, 1, 1, 4, ?, 2, 1, 6, 3, 9, ?, 5, 9, 6, ?, ?, ?, 13, ?
Click here to see answer by ikleyn(52788) About Me 

Question 1156653: 36452, 61915, ?, ?, ?, 986788 find ?
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Question 1156653: 36452, 61915, ?, ?, ?, 986788 find ?
Click here to see answer by ikleyn(52788) About Me 

Question 1156652: what is the next number? 759802, 358829, 847123
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Question 1156652: what is the next number? 759802, 358829, 847123
Click here to see answer by ikleyn(52788) About Me 

Question 1156989: Dertemine the general formula of the following number pattern
1; 9; 25; 49

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Question 1156989: Dertemine the general formula of the following number pattern
1; 9; 25; 49

Click here to see answer by MathTherapy(10552) About Me 

Question 1157063: What is the sum of the arithmetic series below?
-100+-95+-90+-85+...+-5+0+5+...+85+90+95+100

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Question 1157063: What is the sum of the arithmetic series below?
-100+-95+-90+-85+...+-5+0+5+...+85+90+95+100

Click here to see answer by ikleyn(52788) About Me 

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