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 1183579: Find the domain of the function f:\theta \rightarrow \left(\frac{\tan \theta \:\:}{2\sin \theta \:-\cos \theta }\right)

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Question 1183610: 1, 1/2, 1/9, 1/64 what are the three next terms and what is the pattern?
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Question 1183761: Prove by math induction that
C(j,j) + C(j+1,j) + C(j+2,j) + ... + C(n+j,j) = C(n+j+1, j+1)
for all n >= 1 and arbitrary positive integer j.
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Question 1183780: Write the first four terms of a sequence concerning decreasing odd integers beginning with 101.
Click here to see answer by Edwin McCravy(20056)

Question 1183824: Find the general rule of the following sequence. Show your solution
1/2,2,27/8,4,...

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Question 1183822: Find the general rule of the following sequence. Show your solution
1/2,2,27/8,4,...
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Question 1183859: Find the general rule of the following sequence.show your solution
-1/4,-1/16,-1/65,-1/256
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Question 1183877: 100,121,144,196,225,...

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Question 1183882: Have I correctly determined the correct answer for the degree of each polynomial below?
6x^4y^2 -3x^4 - The degree would be 4?
5a^9b^2 + 11b^2 -2 The degree would be 9?
Thank you
Click here to see answer by MathLover1(20850)

Question 1183881: Have I correctly labeled the below geometric series correctly?
1 + 1.2 + 1.44 + .... This is a DIVERGENT series
3 - 0.6 - 0.0012 - .... This is a CONVERGENT series
Thank you
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Question 1183895: 7 17 25 _ 49 67 77
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Question 1183906: what is the 8th term in the sequence -1/2, -1, -2, -4,...
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Question 1183933:
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Question 1183934:
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Question 1183950: Show that x - y is a factor of x^n - y^n for all positive integers n, using mathematical induction.
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Question 1183950: Show that x - y is a factor of x^n - y^n for all positive integers n, using mathematical induction.
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Question 1183971: 1,3,5,7,13,12,25,18,?
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Question 1183971: 1,3,5,7,13,12,25,18,?
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Question 1184173: She pay $0.01 on the first day 0.02 on the second day and 0.04 for the third what will she pay for the 25th day
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Question 1184226: What is the formula to sum the "n.n!" where ! means factorial and n is finite positive integer?
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Question 1184236: what should be the next number in this sequence:
4,14,14,1,5,2,1,9,3,___
5,15,18,14,16,6,24,10,11,___
Click here to see answer by Edwin McCravy(20056)

Question 1184236: what should be the next number in this sequence:
4,14,14,1,5,2,1,9,3,___
5,15,18,14,16,6,24,10,11,___
Click here to see answer by greenestamps(13200)

Question 1184228: If 64, 27 and 36 are the Pth, Qth and Rth term of geometric sequence. Find the value of P + 2Q?
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Question 1184243: Find the common difference of the sequence using the formula an=a1+(n-1)d
____1.a1=-4 and a5=0
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Question 1184281: Insert the indicated number of arithmetic means given the first and last term. Show your solution.
___1. 3 and 36 indicated number 7
Click here to see answer by greenestamps(13200)

Question 1184296: What is the remainder when we divide 1! + 2! + 3! + 4! + ... + 95! by 15?
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Question 1184296: What is the remainder when we divide 1! + 2! + 3! + 4! + ... + 95! by 15?
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Question 1184295: Find the sum of the infinite series divided by r! (factorial of r) where r belongs to infinite set {2, 3, 4, 5, .....}.
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Question 1184295: Find the sum of the infinite series divided by r! (factorial of r) where r belongs to infinite set {2, 3, 4, 5, .....}.
Click here to see answer by robertb(5830)

Question 1184294: Find the sum of series ?
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Question 1184309: If S is sum of infinite geometric series with first term k and common ratio is k/(k+1) with condition k > 0 then find the value of series where k is from ?
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Question 1184319: 7,17,25,?,49,67,77
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Question 1184319: 7,17,25,?,49,67,77
Click here to see answer by josgarithmetic(39618)

Question 1184291: Solve each problem and show the solutions.
1.find the sum of the first 20 integers
2.find the sum of the first 30 even integers
3.find the sum of the integers from 4 to 128
Click here to see answer by Boreal(15235)

Question 1184300: If a, b, c are in arithmetic sequence then find roots of equation:
?
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Question 1184297: What is the formula of the sum of first n factorials? If so then find the sum of the 1! + 2! + 3! + ... + 150!?
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Question 1184340: Find the indicated partial sum for the given sequence. Show the solution
4,7,10,13,...,S10
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Question 1184340: Find the indicated partial sum for the given sequence. Show the solution
4,7,10,13,...,S10
Click here to see answer by josgarithmetic(39618)

Question 1184340: Find the indicated partial sum for the given sequence. Show the solution
4,7,10,13,...,S10
Click here to see answer by greenestamps(13200)

Question 1184341: 1.Find the arithmetic mean between -2,___18
2.Find the sum of sequence -30,-15,0,15,30,...
It's fine if you don't show the solution just the answer, thanku^^
Click here to see answer by ikleyn(52788)

Question 1184342: Insert the indicated number of arithmetic means given the first and last term, show the solution.
1. -5 and 50 indicated number [6]
2. -12 and 12 indicated number [5]
3. 21 and -9 indicated number [4]
Click here to see answer by ikleyn(52788)

Question 1184344: Find the indicated partial of sum of the first 10th term. Show the solution
4,7,10,13,...,S10
Click here to see answer by josgarithmetic(39618)

Question 1184345: Insert the indicated number of arithmetic means given the first and last term, show the solution
3 and 36
Indicated 7
Click here to see answer by greenestamps(13200)

Question 1184372: Find the indicated partial sum for the given sequence. Show the solution
1. 5,9,13,17,...S9 or sum of the first 9 term
2. 13,9,5,1,...S8 or sum of the first 8 term
Click here to see answer by josgarithmetic(39618)

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