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 898492: What is the number that best completes the sequence on: 2 9 5 13 10 19 17
Click here to see answer by Edwin McCravy(20056)

Question 898542: In a geometric series, the sum of the first three terms is 304, and the sum of the first six terms is 1330. Find the sum of the first seven terms.
Click here to see answer by Edwin McCravy(20056)

Question 898601: Consider the sequence 3,9,15,__,57 and describe how you get the 4rd term after 15 and write a general formula given tn=_____
Please help out on how to do this I'm not sure which squence it is since its a grade 9 assignment
Click here to see answer by rothauserc(4718)

Question 898615: Solve the equation2+5+8+11+.........+x=345

Click here to see answer by ewatrrr(24785)

Question 898852: Please help me solve this question: In the gp, the sum of the 2nd and 3rd terms is 9. The 7th is 8 times the 4th. Find the first term, the ratio and the 5th term.
Click here to see answer by Theo(13342)

Question 898899: whats the next 3 terms in the following sequences 17,12,7,2,-3
Click here to see answer by rfer(16322)

Question 898860: A series of 384 consecutive odd integers has a sum that is a perfect fourth power of a positive integer. Find the smallest possible sum for this series.
a) 104 976
b) 20 736
c) 10 000
d) 1296
e) 38 416
Please help, thanks!

Click here to see answer by Edwin McCravy(20056)

Question 898992: In an arithmetic series, the 'pth' term is q and the 'qth' term is p , find the 'mth' term.
Here ismy answer: p+q-m.
Am I correct? Please show me the working.
Click here to see answer by Edwin McCravy(20056)

Question 898646: 2 5 11 17 23 31 41 47 59 how this series is formed
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Question 899139: I need help on writing an expression of 36, 35 , and 37
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Question 899177: what is the pattern to 5,7,9...
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Question 899429: The sum of n terms of the series 4+14+30
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Question 899681: in sequence a,b,c,d,0,1,1,2,3,5,8 each term is the sum of the two terms to its left. Find a
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Question 899788: Good Morning,
I'm after a bit of help, trying to help my son with his algebra homework but im not to sure on algebra.
Question
1) Find at least on sequence between each pair of numbers, fully describe the term-term rule you have used.
a) 1...9 b) 1...16 c) 5...21 d)5...21 e) 10...20 f) 16...8
I would just like some understanding what needs to be done to find the answer so I can help my son.
Your help would be greatly appreciated.
Many Thanks,
Sarah
Click here to see answer by josgarithmetic(39617)

Question 899905: can anyone please help me with this.i cannot figure this question.....
there is a arithmetic sequence which it's 2nd, 4th and 8th terms are first 3 terms of a geometric sequence.what is the common ratio of the geometric sequence?
i'm really stuck in this question if this question has not an exact answer please tell me.....
Click here to see answer by richwmiller(17219)

Question 900070: If 30 terms are inserted between 5 and 98 to form an arithmetic sequence, find their sum.
i think n is 30 t1 is 5 and tn is 98 but im not sure
Click here to see answer by richwmiller(17219)

Question 900098: What are the next two terms in this sequence?
6,13,22,33,...
Click here to see answer by stanbon(75887)

Question 900663: the fifth and eighth terms of a sequence of real numbers are 7 and 8. What is the first term?
Click here to see answer by josgarithmetic(39617)

Question 900773: the annual income of a bank clerk is N240,000. his income tax is charged at 10 percent and the employer deducts 5 percent for the pension fund. calculate the clerk's net monthly income.
Click here to see answer by ewatrrr(24785)

Question 901134: 3 9 16 48 55 165 172 --- what are the next 3 numbers in this sequence and why
Click here to see answer by JulietG(1812)

Question 901257: How to answer this 1�-2�+3�-4�+...+2012�-2013�
Click here to see answer by richwmiller(17219)

Question 901315: 2,4,4,8,6,16,8,32,10,64
I need this solved i dont want the next number in the sequence i just want the rule that this sequence is following.
i know that it has more than one role.
thanks in advance .
Click here to see answer by richwmiller(17219)

Question 901373: Find pattern
1 .25 .11 .063
Click here to see answer by stanbon(75887)

Question 901373: Find pattern
1 .25 .11 .063
Click here to see answer by richwmiller(17219)

Question 901417: what are the next three letters in this sequence?
c,a,x,f,b,v,i,c,t,l,d,r,o,e,_,_,_
we have tried looking a each letter in the sequential number of the alphabet, or vowels vs constances?
Click here to see answer by richwmiller(17219)

Question 901592: With these four test scores, 80, 75, 90, 84, 89 what would you need to make on the 6th test to have an average of 86?
Click here to see answer by solver91311(24713)

Question 901707: Find the next 3 terms and explain the process. 3,1,4,5,9,14,23,37, __, __, __
Click here to see answer by rothauserc(4718)

Question 901879: what is the nth term of the sequence 4/3,5/9,6/27,7/81
Click here to see answer by richwmiller(17219)

Question 902018: i need help dont know how to do this
a4=24,r2
Click here to see answer by Edwin McCravy(20056)

Question 902032: What is the next term of this sequence?
-5,5,-6,6,-7,7,-8,...

Click here to see answer by richwmiller(17219)

Question 902041: What is the 25th term of the arithmetic sequence with a1= -1 and d= -10

Click here to see answer by richwmiller(17219)

Question 902076: What is the following number in the sequence? 100, 89, 78, 67, 56
Click here to see answer by richwmiller(17219)

Question 902036: What is the missing term in this sequence?
0.95,0.85,0.90,0.80,_,0.75,0.80
Click here to see answer by Edwin McCravy(20056)

Question 902565: 5, 14, 30 form a pattern. Determine the fifth term.
Click here to see answer by josgarithmetic(39617)

Question 902562: 15%of96+3%of45
Click here to see answer by ewatrrr(24785)

Question 902836: MARIA SOLD 49 CUPS OF PUNCH IN 1/3 OF AN HOUR HOW MUCH IN 1 HOUR

Click here to see answer by rfer(16322)

Question 903123: How do I find the 20th term in the following sequence: 3, 6, 10, 15, 21...
Click here to see answer by richwmiller(17219)

Question 903221: i am a square number. the sum of my digits is 13. which of these numbers might i be: 94, 81, 58, or 49

Click here to see answer by Alan3354(69443)

Question 903352: what is the next number in the sequence 5,5,4,7,19,45,90
Click here to see answer by richwmiller(17219)

Question 903979: Hello,
Kindly help me with the solution to the following question: What is the next number in the sequence:10,9,60,90,70,66?
Thank you!
Click here to see answer by MathLover1(20850)

Question 904738: find the sum of the first 5 terms of the geometric progression for which the first and second terms are 27 and 9 respectively
Click here to see answer by richwmiller(17219)

Question 904968: Question 4. 4. Which number is a multiple of 6?
(Points : 1)
2
3
42
56

Click here to see answer by richwmiller(17219)

Question 904984: A company offers a starting yearly salary of $ 33,000 with a raise of $ 2.500 per year. find the total salary over a 10-year period
Click here to see answer by ewatrrr(24785)

Question 905004: find the sum of the first 12 terms of the geometric sequence 2,6.18.54
Click here to see answer by ewatrrr(24785)

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