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 1127085: show that the general term of the sequence -2/5,1/0,4/15,7/20,0/25,...can be written as Tn =3n -5/5n
Click here to see answer by greenestamps(13200)

Question 1127067: 5;x;y is an arithmetic sequence and x;y;81 is a geometric sequence.All terms in the sequence are integers.calculate the value of x and y.
Click here to see answer by htmentor(1343)

Question 1127068: given that 6+1-4-9-...-239.Evaluate (i) the number of terms in the arithmetic sequence above.(ii) the sum of the series.
Click here to see answer by greenestamps(13200)

Question 1127129: 28 is the blank term of 7,2,-3

Click here to see answer by ikleyn(52787)

Question 1127129: 28 is the blank term of 7,2,-3

Click here to see answer by MathTherapy(10552)

Question 1127160: 1, 4 , 27, ?, ?, 46656
Click here to see answer by math_helper(2461)

Question 1127201: Hi there my name is Arnold and I have a question I wanted to know what would be the answer to what would be the next letter in the following series of w s p l h what would be the next letter
Click here to see answer by MathLover1(20850)

Question 1127290: What's the next number in these four sequences...
3, -6, 12, 4, 20, ?
7, 16, 8, 27, 9, ?
2, 7, 26, 101, 400, ?
7, 21, 8, 72, 9, ?
Click here to see answer by Alan3354(69443)

Question 1127290: What's the next number in these four sequences...
3, -6, 12, 4, 20, ?
7, 16, 8, 27, 9, ?
2, 7, 26, 101, 400, ?
7, 21, 8, 72, 9, ?
Click here to see answer by MathLover1(20850)

Question 1127290: What's the next number in these four sequences...
3, -6, 12, 4, 20, ?
7, 16, 8, 27, 9, ?
2, 7, 26, 101, 400, ?
7, 21, 8, 72, 9, ?
Click here to see answer by greenestamps(13200)

Question 1127295: please help me to make n the subject of the formula in: Sn= n/2{2a+(n-1)d}
Click here to see answer by josgarithmetic(39617)

Question 1127336: n : 1st term, 2nd term, 3rd term, 4th term, 5th term, 6th term, ��. 15th term
series: -3, 0,4,9,15,22
Find the 15th term. HINT: I think we need to multiply the series by 2 and then find factors and then solve. I am getting stuck between 4th and 5th term to find meaningful series for factors. Could you please help solve ?
Click here to see answer by math_helper(2461)

Question 1127351: One angle of a triangle measures 72 degrees more than the smallest, while a third angle is twice the smallest. Find the measure of each angle.
Click here to see answer by addingup(3677)

Question 1127435: what is the value of k in sequence 1,6,13,k,33,46
Click here to see answer by Boreal(15235)

Question 1127412: what number comes next in the sequence 25,32,27,36
Click here to see answer by Alan3354(69443)

Question 1127585: Ron attends a cocktail party (with his graphing calculator in his pocket). He wants to limit his food intake to 114 g protein, 95 g fat, and 141 g carbohydrate. According to the health conscious hostess, the marinated mushroom caps have 3 g protein, 5 g fat, and 9 g carbohydrate; the spicy meatballs have 14 g protein, 7 g fat, and 15 g carbohydrate; and the deviled eggs have 13 g protein, 15 g fat, and 6 g carbohydrate. How many of each snack can he eat to obtain his goal?
Click here to see answer by ikleyn(52787)

Question 1127597: What is the nth term of
4 6.5 9 11.5. 14
Click here to see answer by rfer(16322)

Question 1127653: 1:find the n th of 3 -6 ,+9 -12..........
2:find n term of -1+1/2 -1/3 1/4.........
Click here to see answer by ikleyn(52787)

Question 1127671: The first three terms of a G.P are x+1, x+3 and x+8, find,
i) The Value of x
ii) The common ratio
iii) The sum of the first 15 terms.
Click here to see answer by FrankM(1040)

Question 1127671: The first three terms of a G.P are x+1, x+3 and x+8, find,
i) The Value of x
ii) The common ratio
iii) The sum of the first 15 terms.
Click here to see answer by htmentor(1343)

Question 1127671: The first three terms of a G.P are x+1, x+3 and x+8, find,
i) The Value of x
ii) The common ratio
iii) The sum of the first 15 terms.
Click here to see answer by MathLover1(20850)

Question 1127753: Hello tutors, i would like to ask you a question about sequence. I dont understand this sequence at all,
1, 1, 9, 4, 125, ...
I've tried to squaring them, but i couldn't find the pattern.
Thank you so much for your help.
Click here to see answer by MathLover1(20850)

Question 1127758: The seventh term of the GP 16/9,-8/3,4 is
Click here to see answer by MathLover1(20850)

Question 1127877: Find the n th term of series
1: -1+1/2-1/3+1/4............
2: 3-6+9-12+...............
Click here to see answer by ikleyn(52787)

Question 1127746: In an A p the sum of the 1st and 8th term is 164 and the sum of the next 6th term is 333. What is the AP
Click here to see answer by greenestamps(13200)

Question 1128005: A gp has 8 terms.its first and last term are 0.3 and 38.4 and its common ratio is 2 find the sum of the terms of the gp

Click here to see answer by ikleyn(52787)

Question 1128011: The 2 and 5 terms of a gp are 7 and 56 when the common ratio is 2 and the first term is 7/2 find the sum of the first five terms
Click here to see answer by ikleyn(52787)

Question 1128071: Find the common ratio in the sequence log2 , log4 , log16
Click here to see answer by Boreal(15235)

Question 1128076: Complete the ordered pair for the given equation.
y = -4x - 18 (-5, )
Click here to see answer by Alan3354(69443)

Question 1128076: Complete the ordered pair for the given equation.
y = -4x - 18 (-5, )
Click here to see answer by KMST(5328)

Question 1128108: Consider the sequence that starts 1, -3, 6, -10, 15 of which 15 is the 5th term. if the 99th term of this sequence is 4950, what is the 100th term?
Click here to see answer by Mtrkcrc(8)

Question 1104500: 16,06,68,88,?,98
Click here to see answer by MathTherapy(10552)

Question 1128296: what are the first four terms of sequence whose nth term is given by the formula of an=3n
Click here to see answer by KMST(5328)

Question 1128311: 2) The third term of a G.P 12 and the first term is 48. Find the sum of the first 11 terms.
Click here to see answer by KMST(5328)

Question 1128700: 10,98,15,96,21,94,32,91,34,71,36,67,44,62
Click here to see answer by Alan3354(69443)

Question 1128788: What�s next in sequence:
3, -6, 12, 4, 20
Click here to see answer by ikleyn(52787)

Question 1128789: The 15th term an A.P is 25.find it's first term of its common different is 2
Click here to see answer by ikleyn(52787)

Question 1128870: the sum of the first 20 terms of an AP series is identical to the sum of the first 22 terms. If the common difference is -2 find the first term?
Click here to see answer by ikleyn(52787)

Question 1128883: 1+3+5+....+(2n - 1) = n^2 , n31&n�<>1
Click here to see answer by ikleyn(52787)

Question 1129010: Nth term of -7,-6,-3,2,9,18,29
Click here to see answer by Edwin McCravy(20056)

Question 1129114: _,1/2,_,_,4 what terms are missing in the sequence? And Why?
Click here to see answer by josgarithmetic(39617)

Question 1129429: what fraction comes after 1 2/3, 2, 2 1/3
Click here to see answer by t0hierry(194)

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