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 90327: this is the problem: _,_,3,_,_,_,48 i have to find the geometric means, but i'm not sure on how to do it because i don't know how to find it because i don't have the 1st term
Click here to see answer by stanbon(75887)

Question 91134: this is question number nine a up to question is what I have to do for homework and, well I was in the groove at school and now I have lost the groove and have completely forgotten hoe to do it!.
please help
Bethaney
Click here to see answer by ankor@dixie-net.com(22740)

Question 91400: I can't seem to figure out the general term of this sequence. Could you help me out?
The sequence is : 1, square root of 3, square root of 5, square root of 7, and square root of 9.
I can tell that each time, you add two to the number, but I don't know how you would say that when using the (n)th term.
I would be very grateful if someone could help me.
Click here to see answer by jim_thompson5910(35256)

Question 93195: The problem given was find E(sigma symbol)x for the following set of numbers: 2,3,5,6,8,9,11. I have read all I can find and can figure out that x=2 would go under the sigma and 11 would go on top but I can't figure out what the formula to the side would be or am I just suppose to add all these numbers up and give the sum?
Click here to see answer by stanbon(75887)

Question 93211: What is the next number in the sequence 1,8,27,64....? I don't know how the numbers are related.
Click here to see answer by jim_thompson5910(35256)

Question 93605: please help me find the 100th term of 25, 10, -5, -20,.......
Click here to see answer by psbhowmick(878)

Question 93607: find THREE arithmetic means between -2 and 12 HUH??? PLEASE HELP!!!
Click here to see answer by psbhowmick(878)

Question 93606: find the arithmetic mean between 2.5 and 9.5 HOW IN THE WORLD DO YOU DO THAT?????
Click here to see answer by stanbon(75887)

Question 93606: find the arithmetic mean between 2.5 and 9.5 HOW IN THE WORLD DO YOU DO THAT?????
Click here to see answer by psbhowmick(878)

Question 93609: find the sum of the following infinite series. if a series doesn't have a sum, write "no sum" please help me!!!!
1/2 + 1 + 2 + 4.....

Click here to see answer by psbhowmick(878)

Question 93608: can someone show me how to do this??? it says to find the sum of the following infinite series. if a series doesn't have a sum, say "no sum"
the problem is 9 - 3 + 1 - 1/3 + 1/9 .........
Click here to see answer by psbhowmick(878)

Question 93604: please find the specified term of each of the following sequences.
find the twelfth term of 5, 8, 11, 14,.....
Click here to see answer by checkley75(3666)

Question 93604: please find the specified term of each of the following sequences.
find the twelfth term of 5, 8, 11, 14,.....
Click here to see answer by edjones(8007)

Question 93612: please write the first three terms of the expansion of (a-b)^10
Click here to see answer by stanbon(75887)

Question 93613: what are the last three terms of (a-b)^7 ??
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Question 93753: please help solve for x the problem is log(little x)32 = 5
Click here to see answer by Earlsdon(6294)

Question 93775: Find the sum of the first five terms of the series
1 + 8 + 64 + 512 + .......
Click here to see answer by Nate(3500)

Question 93765: Fine the tenth term of the sequence 5, -25 , 125, -625........help me please
Click here to see answer by Nate(3500)

Question 93766: This is a word problem that i am not so good with can someone please help! The cost of a new car is $18,000 this year. If the annual rate of in inflation is 5%, what would a new car be expected to cost in 5 years?
Click here to see answer by checkley75(3666)

Question 94201: Suppose you are offered two jobs. One pays $30,000 the first year with annual raises of $2,000 each year. The second offers a starting salary of 27,000 and raises of 8% each year. Over a ten-year period, how much would you earn from
(a)the first job? (b) the second job?
(a)_______________
(b)_______________
Click here to see answer by stanbon(75887)

Question 94827: 8, 17, 26, 35, 44,...
The first 5 terms in a sequence are shown above. Each term after the first is formed by adding 9 to the term immediately preceeding it. Which term in this sequence is equal to 8+(26-1)9?
Click here to see answer by edjones(8007)

Question 96167: If the first differences of a sequence are a constant 3 and the second term is 8 find the first 5 terms of the sequence.
PLEASE SOLVE IF POSSIBLE.
AND COULD YOU PLEASE EXPLAIN HOW
TO SOLVE SO I UNDERSTAND.
THANK YOU SO MUCH!:]
Click here to see answer by checkley71(8403)

Question 96182: the second and third terms of a sequence are 79 and 92. if the first differences are constant,then find the first 5 terms of the sequence.
Click here to see answer by checkley71(8403)

Question 96181: if the first differences of a sequence are a constant -7 and the third term is 15, find the first 5 terms of the sequence
Click here to see answer by checkley71(8403)

Question 96181: if the first differences of a sequence are a constant -7 and the third term is 15, find the first 5 terms of the sequence
Click here to see answer by stanbon(75887)

Question 97099: what comes next in the sequence.
1,3,7,13
Click here to see answer by stanbon(75887)

Question 97099: what comes next in the sequence.
1,3,7,13
Click here to see answer by checkley71(8403)

Question 97246: I am stumped, and my parents are not much help with this one. I know it should be simple. Here is the question.
Place grouping symbols to make the equation below true.
100-99*3+7*2+1/24=1
Click here to see answer by mathslover(157)

Question 97390: Describe the pattern and list the next three numbers:
1, 8, 27, 64, _________, ________, _____________
Click here to see answer by jim_thompson5910(35256)

Question 97528: can you find the next 3 term in this sequence
1,5,4,20,19,_,_,_
Click here to see answer by checkley71(8403)

Question 97626: What three even consecutive integers sum up to 225?
I am totally stumped and would very much appreciate it if you can tell me what the 3 numbers are and how you came to this answer.
Thank You so very, very much
Click here to see answer by checkley71(8403)

Question 97661: exercise:
write a formula for the nth term of each arithmetic sequence:
1. -4,-2,0,2,4,...
2. 5,1,-3,-7,-11,..
how can i solve these?
can you help me?
and could you please explain it to me how it come so that i can understand it better...
thank you very much...
your responce will highly appreciated..
Click here to see answer by mathslover(157)

Question 97660: even though we have our books in algebra...
I do not understand what our teacher is tackling about... maybe he is so fast in discussing of the topics so that we can't relate to him...
In our homework... i don't know what i am going to do because this topic is not yet discuss unto us but i want to learned it so i can get high score during our quizzes...i just want to know if how come the answer goes like this...an=2n-6?
our problem or exercise needed to solve is that:
write a formula for the nth term of arithmetic sequence...
==> -4,-2,0,2,4,...
can you help me please... can you explain it to me?
it is not from the book... it's from our math teacher..

Click here to see answer by stanbon(75887)

Question 97907: At johns cafe the cooks use 1/3 cup of gravy on each serving.How many servings can he make out of 12 cups?
Click here to see answer by coyote(32)

Question 98141: 2,20,10,100,50,
Click here to see answer by edjones(8007)

Question 98329: hello math lovers...
i would like to thank our generous math tutors for helping me
to understand our lessons and homework...
by the way,
i just wanna ask for your help...
in our home work...we need to write the first five terms of the
arithmetic sequence whose nth term is given...
and for example the given are:
An=9+(n-1)4
An=7+(n-1)(-2)
An=-4+(n-1)3
An=-2+(n-1)(-3)
How can i solve these problems which have different signs..
with a negative & positive sign...
but the problem is that i have no idea on how to solve these problems...
can you help me? so i can understand it better and i can solve our exercises that are from our teacher....
can you explain it to me on how to get the answer or on how to solve these problem... your help or responce is very appreciated...
Click here to see answer by 303795(602)

Question 98328: 3n+3
Click here to see answer by checkley71(8403)

Question 98587: find all sets of three consectutive positive odd integers whose sum is less than 20 but greater than 10.
Click here to see answer by checkley71(8403)

Question 98709: HELP PLEASE!!! - Don't think I get it
write the frist 6 terms of the sequence:
1.an = n^3-1 (first n is subscript)
2.an = (n-1)^2 (first n is subscrpt)
Also- I need help with summation notation:
4+ 8+ +12+ 16 + 20 - write in summation notation
-7-8-9-10-11 in summation
5/6+6/7+7/8+8/9+... summation notation
Thanks so very much

Click here to see answer by Adam(64)

Question 87312: I believe the answer is 208 but I want to check...
Find the sum of the first 10 terms of the series: 6.4, 3.2, 1.6, ...
Click here to see answer by edjones(8007)

Question 100044: What is the formula for this sequences of numbers?
60 50 40 30 20
Click here to see answer by Edwin McCravy(20056)

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