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 453515: What is the common ration of the sequence 1, 2/3, 3/5, 4/7, 5/9..... I've spent awhile on it, and I can't figure it out.
Click here to see answer by Alan3354(69443)

Question 453515: What is the common ration of the sequence 1, 2/3, 3/5, 4/7, 5/9..... I've spent awhile on it, and I can't figure it out.
Click here to see answer by stanbon(75887)

Question 453705: (5,26),(8,65),(9,82),(4,_),(7,_),(11,_) what numbers go in the blanks

Click here to see answer by Edwin McCravy(20056)

Question 453947: a(subscript n)= -4*(-6)^n-1
I am supposed to find the first five terms, but I don't even know where to begin. It'd be a lot of help if you could explain it to me and how the answer was found. Thank you so much!
Click here to see answer by richard1234(7193)

Question 454384: Which equation represents the formula for the general term an, of an arithmetic sequence with a first term of 8 and a common difference of 0.3?
Click here to see answer by solver91311(24713)

Question 454599: How can I figure out the next three terms in each of these sequences?
1.) 1/2, 1, 9/8, 1, 25/32
2.) 26, 14, 8, 5, 7/2
3.) 10, 6, 4, 3, 5/2
Click here to see answer by robertb(5830)

Question 454662: Solve by elimanation
3x + 4y = 1
6x + 8y = 2
Click here to see answer by robertb(5830)

Question 454862: How do I find the next number in this sequence of numbers 1, 1, 3, 2, 4, 6, 5, 25 I have tried and cant seem to find the answer.
Click here to see answer by Gogonati(855)

Question 455539: Write the series in sigma notation.
2 + 3/2 + 4/3 + 5/4 + 6/5 ...
Click here to see answer by stanbon(75887)

Question 455531: Find the number of terms in the series and then find the sum. Evaluate the sum.
12 + 14 + 16 + 18 + 20 + ... + 38
Click here to see answer by MathLover1(20850)

Question 455731: find the 11th term of (b-3)^12
Click here to see answer by robertb(5830)

Question 456892: How to you find the fourth term of an arithmetic series, given a1 = 20 and the sum (S subroot 10) = 335?
Click here to see answer by robertb(5830)

Question 457226: how would i write in a assignment the response to these two questions?
1) consider a general Arithmetic sequence a,a+d,a+2d..., state with reasons, wherher such sequences diverge or converge
2)Consider the general Geometric sequence a,ar,ar^2.. state with reasons, the conditons under which such sequences converge and the limit of the sequence when they do converge/

Click here to see answer by stanbon(75887)

Question 457797: Okk...I don't know what the formula for g(n) is?
Click here to see answer by Alan3354(69443)

Question 457797: Okk...I don't know what the formula for g(n) is?
Click here to see answer by richard1234(7193)

Question 457909: what is the 4th term of the sequence?
http://i54.tinypic.com/2641j0i.jpg
Click here to see answer by robertb(5830)

Question 458200: Write the explicit formula for a_n given a1=-7 and a common difference of 1/2
Click here to see answer by stanbon(75887)

Question 458197: write the first 5 terms of the following recursive sequence: a1=5 a_n=a_n-1 +2
Click here to see answer by stanbon(75887)

Question 458244: 5 over z+7= 4 over z-4
Click here to see answer by Alan3354(69443)

Question 458244: 5 over z+7= 4 over z-4
Click here to see answer by stanbon(75887)

Question 458244: 5 over z+7= 4 over z-4
Click here to see answer by MathLover1(20850)

Question 458358: write the series in sigma notation
3 + 6 + 12 + 24 + 48
Click here to see answer by robertb(5830)

Question 458520: Find the next term of the sequence. 1, 8, 27, 64
Click here to see answer by josmiceli(19441)

Question 458830: 3 8 6 3
9 7 5 5
9 5 3 9
4 2 8 8
6 5 8 3
which is the odd sequence
Click here to see answer by Edwin McCravy(20056)

Question 459121: write the 1st 6 terms of the sequence an=n+4

Click here to see answer by robertb(5830)

Question 451065: 32-26=6
9-3=6
11-5=6
???-8=6
???=14
Click here to see answer by dadans(1)

Question 459240: How can the sum of this sequence, -5, -2, 1, 4, 7 be represented?
Click here to see answer by J2R2R(94)

Question 459465: What is the sigma notation of -3-1+1+3+5?
Click here to see answer by Edwin McCravy(20056)

Question 459503: Use differences to find a pattern in the sequence.
9,14,25,50,97,174,289
Assuming the pattern continues, what is the 8th term?
Click here to see answer by richwmiller(17219)

Question 459506: A local toy store sells whistles in packages of 4,8, or 16. If you need 40 whistles for a party, in how many different combinations can you buy them?
Click here to see answer by edjones(8007)

Question 459568: A department contains 8 men and 20 women. It needs to build a committee of 6.
a. How many ways can you build these committees?
Committees with only women?
Committees with one man?
Committees with two men?
Committees with three men?
b. How many ways are there to form a committee with 6 members if it must have more women than men?
Click here to see answer by stanbon(75887)

Question 459567: How many strings of five upper class English letters are there for each of the following restrictions?
A string of letters need not be a real word, so XYZWT is a good string.
a. Start with an X and letters can be repeated
b. No letter can be repeated
c. Start and end with an X and letters can be repeated
d. Start with the letters BO(in that order) and letters can be repeated
e. Start and end with the letters BO(in that order) and letters can be repeated
f. Start or end with the letters BO(in that order)if letters can be repeated
Click here to see answer by Edwin McCravy(20056)

Question 460021: Identify the pattern and find the next term:
6, 1, 9, 5, 12, 9, 15,____
Click here to see answer by rfer(16322)

Question 460124: After stricking a floor , a certain ball rebounds 4/5 th height from it has fallen. Find the total distance that it travels before coming to rest, if it is gently dropped from a height of 120 m
Click here to see answer by stanbon(75887)

Question 459982: what is the explicit function and the recursive formula for the terms 2000, 2120, 2247.20, 2382.03,....
Click here to see answer by richard1234(7193)

Question 460509: Use the explicit formula an=a1+(n-1)d to find the 500th term of the sequence below.
24,31,38,45,52,..

Click here to see answer by nerdybill(7384)

Question 460599: Order 3.4 � 10^3, 1.2 � 10^7, 8.11 � 10^�3, and 4.35 � 10^2 from least to greatest.
Click here to see answer by richwmiller(17219)

Question 460592: Find the third term of (x+y)^8
Click here to see answer by solver91311(24713)

Question 460592: Find the third term of (x+y)^8
Click here to see answer by edjones(8007)

Question 460587: Find the arithmetic means between -4 and 16
Click here to see answer by edjones(8007)

Question 460585: Find the sum of the arithmetic series where a[1]=7, n=31, and a[n]=127
Click here to see answer by edjones(8007)

Question 460755: Find the 14th term of the sequence 8,15,22,29
Insert three arithmetic means between 6 and 18
Find the 5th term in the geometric sequence

Click here to see answer by robertb(5830)

Question 460883: A convenience store asked every 21st person who entered the store for a week, their opinion of the automatic checkout machines. Is this an unbiased sample? Give a reason for your conclusion.
Click here to see answer by richard1234(7193)

Question 461296: if a,b,c are in h.p then prove that bc/(b+c),ca/(c+a),ab/(a+b) are in h.p
Click here to see answer by richard1234(7193)

Question 462230: What is the sum of the arithmetic sequence 5, 11, 17 �, if there are 24 terms?
Click here to see answer by math-vortex(648)

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