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 448008: Is the following sequence arithemtic? if,so idenitfy the common difference of -16,-22,-29,-37
Click here to see answer by Edwin McCravy(20056)

Question 448029: how many ways can ten applicants line up for a job interview
Click here to see answer by solver91311(24713)

Question 448035: A pizza restraunt offers nine choices of vegetarian toppings for pizza. In how many ways can you choose 4 toppings?
Click here to see answer by stanbon(75887)

Question 448025: Insert arithmetic means between 7 and 71 in such a way that the 5th arithmetic mean is 27. Find the number of arithmetic means.
Click here to see answer by Edwin McCravy(20056)

Question 448455: The given series has 6 terms. What is the sum of the terms in the series 5+8+11 . . +20
Click here to see answer by ewatrrr(24785)

Question 448470: How to define the given series for 7 terms -13+-16+-19+....
Click here to see answer by ewatrrr(24785)

Question 448459: Evaluate the series 2+8+32+128+512+2048
Click here to see answer by ewatrrr(24785)

Question 448472: Evaluate the series 4+8+16 to S[6]
Click here to see answer by ewatrrr(24785)

Question 448471: Does the following infinite geometric series diverage or converge? explain. 7+21+63+189...
Click here to see answer by ewatrrr(24785)

Question 448458: Does the following infinite geometric series diverge or converge? Explain. 7+21+63+189
Click here to see answer by ewatrrr(24785)

Question 448474: Find the 8th term in the following geometric Sequence 28,14,7,3.5
Click here to see answer by ewatrrr(24785)

Question 448452: A disc jockey wants to select 4 songs from his new c.d that contains 12 songs. How many ways can the dick jockey choose 4 songs?
Click here to see answer by ewatrrr(24785)

Question 448476: Use the geometric mean to find the 7th term in a geometric sequence if the 6th term is 8 and the 8th term is 8
Click here to see answer by Edwin McCravy(20056)

Question 448454: The sequence is recursive. Find the value of the next term in the sequence. 5,8,11,14,17
Click here to see answer by ewatrrr(24785)

Question 448759: in some states, a standard license plate has three letters followed by threee digits,. the first letter cannot be I or O and the last digit cannot be zero. How many possible plates are there?
Click here to see answer by stanbon(75887)

Question 448902: What is the general term for the following sequence: 2,4,8,16,....?
Click here to see answer by rwm(914)

Question 449010: Find the next two terms of the geometric sequence 5, -15, 45, �.

Click here to see answer by rwm(914)

Question 449173: what is the common difference for this arithmetic sequence: 13/36, 17/36, 21/36, 25/36?
Click here to see answer by rwm(914)

Question 449260: May I get someone to show me a good example of a sequence of numbers and series and how to sum them up?
Click here to see answer by Edwin McCravy(20056)

Question 449370: Find the next-to-last term in the expansion of (6+p)^7
Click here to see answer by stanbon(75887)

Question 449369: Find the second term in the expansion of (a^3+5)^11
Click here to see answer by stanbon(75887)

Question 449406: My problem says for me to identify and use geometric sequence. Find the 4th term of the geometric whose first term is 8 and whose common ratio is -3.
a^4=
I hope some one can help me. I don't even understand what the problem expects. Thank-you.
Click here to see answer by solver15(27)

Question 450141: find the fifth term of the expression (2a+b)^9
Click here to see answer by edjones(8007)

Question 450297: #1. Do you know how to solve for 3m + 2m = 15
#2. Do you know how to solve for 4r + 5r +45
#3. Do you know how to solve for 10p - 7p = 18
#4. Do you know how to solve for 2a + 9a = 88
#5. Do you know how to solve for 5y + 4y - 11 = 16
Click here to see answer by rfer(16322)

Question 450442: which is the term of the series 3,9,15,......,117?
Click here to see answer by stanbon(75887)

Question 450583: What is the 35th term of the arithmetic sequence where a1 = 13 and a17 = �35 ?
Click here to see answer by htmentor(1343)

Question 450317: For the geometric series:
8+2+1/2+1/8+...
find S1,S2,S3,S4 and S5. I alread found that S1=8, S2=10, S3=10 1/2, but I need S4 and S5. I also need to use these sums to approximate S. Then I need to use the Infinite Geometric Series formula, which is S=S1/r-1, to find S.
S1= 8, because its the first number in the series
R= the common ratio, which I don't know

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 robertb(5830)

Question 451663: If, the first number of an arithmetic sequence is 200, and the 100th number is 2, what is the 40th number of this sequence?

Click here to see answer by ewatrrr(24785)

Question 451744: Find the pattern with these numbers: 2. 9. 27. 65
Click here to see answer by solver91311(24713)

Question 452126: What number fits in the blank space? 8, 7, 14, 11, 22, 17, 34, ___, 54

Click here to see answer by solver91311(24713)

Question 452540: what is the explicit form for 1.5 3 6 12 in geometric sequence?
Click here to see answer by stanbon(75887)

Question 452853: Viola makes gift baskets for valintines day. She has 5 baskets left over from last and she plans to make 6 more each day. If there are 17 work days until the day she begins to sell the baskets, how many baskets will she have to sell?
Click here to see answer by rfer(16322)

Question 452497: what would the nth term be for 64,58,52,46 please
Click here to see answer by richard1234(7193)

Question 452857: I have stared at my notes for at least and hour and I have gone no where, could you please help me!
Use summation notation to write the series 42+34+26+... for 8 terms. Then evaluate it.
Click here to see answer by richard1234(7193)

Question 452871: Please help! I have been working on this problem night and I'm not going anywhere with it!
Consider the sequence -7, -5.6, -4.2, -2.8,-1.4,...
A. Write an explicit formula for the sequence (I know its An=A1+(n-1)d but I don't know where the 'D' comes from)
B. Write a recursive formula for the sequence.
C. Suppose you need to find the 50th term of the sequence. List which formula you should use.
D. Which term is the number 103.6
Sorry it's so much thats just all one number on my homework! please please help
Click here to see answer by robertb(5830)

Question 453021: Write an equation to find the nth term of the following sequence:
-4,1,12,29
Click here to see answer by stanbon(75887)

Question 453021: Write an equation to find the nth term of the following sequence:
-4,1,12,29
Click here to see answer by ushamenta(1)

Question 452979: find the sum of the first two terms of the sequence whose general term is an=(n+2)(n-5).
Click here to see answer by Love math(28)

Question 453276: evaluate the series to the given term
1. 256 + 192 + 144 + ...; S7
2. 1 � 3 + 9 � 27 + ...; S10
3. �14 + (�7) + 0 + 7 + ...; S10
Click here to see answer by robertb(5830)

Question 453310:
I am stumped on this one too. I have been working it for hours but cannot seem to get the right formula to do it. Any help would be much appreciated. Thanks
Write the nth term of the following sequence in terms of the first term of the sequence.
10, 20, 40, . . .
Click here to see answer by robertb(5830)

Question 453308: I am stumped on this one. I have been working it for hours but cannot seem to get the right formula to do it. Any help would be much appreciated. Thanks
Write the nth term of the following sequence in terms of the first term of the sequence.
a, a + 4, a + 8, . . .
Click here to see answer by robertb(5830)

Question 453307: Write the nth term of the following sequence in terms of the first term of the sequence.
2, -4, 8, -16, . . .
I am stumped on this one. I have been working it for hours but cannot seem to get the right formula to do it. Any help would be much appreciated. Thanks
Click here to see answer by richard1234(7193)

Question 453400: compute e^0.3 using the infinite series for e^x
Click here to see answer by robertb(5830)

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