Questions on Algebra: Sequences of numbers, series and how to sum them answered by real tutors!

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Question 301144: Solve the equation 1/8 + 5/6x = -2/9

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Question 301144: Solve the equation 1/8 + 5/6x = -2/9

Click here to see answer by Alan3354(69443) About Me 
Question 301144: Solve the equation 1/8 + 5/6x = -2/9

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Question 301145: 1/9 - 1/3 + 1/2 solve
Click here to see answer by helpnalgebra(91) About Me 

Question 301182: Calculate 10 4/5 divided by 2 1/3 . Give your answer as a mixed number
Click here to see answer by mananth(16949) About Me 

Question 301176: Convert 21 / 4 to a mixed fraction
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Question 301181: Calculate 3 5/6 + 4 2/3
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Question 301181: Calculate 3 5/6 + 4 2/3
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Question 301179: Convert 2 5/12
Click here to see answer by richwmiller(17219) About Me 

Question 301233: 8, a, 14, b, 20,…..
the first term of the sequence above is 8. Which of the following could be the formula for finding the nth term of this sequence for any positive integer n ?
a 2n+6 b 3n+5 c 5n+3 d 6n+2 e 6n+5

Click here to see answer by Edwin McCravy(20077) About Me 

Question 301168: what is the least common multiple of 15, 25 and 12?
Click here to see answer by Alan3354(69443) About Me 

Question 301383: The difference between two numbers is 3.
If the sum of twice the larger and the
smaller is 48, find the two numbers.

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Question 301638: find the value of the expression:
6! / 3! A. 24. 2 . 120. 1

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Question 301640: if a down 1 = 4 and d=-2,what are the first four terms of the arithmetic sequence?
Answer. 2,0 -2,-4 or 4,68,10 or 4,0,-4,-8 or 4,2,0,-2

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Question 301734: If a1 = 4 and d = -2 what are the first four terms of the arithmetic sequence?
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Question 301739: what is the sum of the first 15 terms in the geometric sequence 2,4,8...?
Click here to see answer by Alan3354(69443) About Me 

Question 302012: 11k-7=4k+21
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Question 302011: 11k-7=4k+21
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Question 302194: 3,6,11,18,…..
the first four terms of a sequence are shown above. Which of the following could be the formula that gives the nth term of this sequence for all positive integers n ?
a 2n b 2n+1 c 3n d n^2+1 e n^2 +2

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Question 302682:
Click here to see answer by Fombitz(32388) About Me 

Question 302713: Please Help,
Estimate the area under the curve { { { f(x)= -x^2+4x+4.25 over 0 <= x <= 5 } } } . Use 5 intervals.
I tried to graph it on a graphing calculator first, but I think it was wrong because I can't enter 0 <= x <= 5. Here is the link of the graphed equation: http://my.hrw.com/math06_07/nsmedia/tools/Graph_Calculator/graphCalc.html
Thanks for the help :)

Click here to see answer by Fombitz(32388) About Me 

Question 302992: The mean of five numbers is 6. If one of the five numbers is removed, the mean becomes 7. What is the value of the number that was removed?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 302958: what are the next two terms of the sequence 32, -48, 72, -108,...
Click here to see answer by checkley77(12844) About Me 

Question 303022: The perimeter of a rectangular field is 312 yards. If the width of the field is 72 yards, what is its length?
Click here to see answer by checkley77(12844) About Me 

Question 303218: After the first term, each term in a sequence is 3 greater than 1/3 of the
preceding term. If t is the first term of the sequence and t ≠ 0, what is the ratio of the second term to the first term?
(A) (t + 9)/3
(B) (t + 3)/3
(C) (t + 9)/3t
(D) (t + 3)/3t
(E) (9 – 2t)/3

Click here to see answer by Fombitz(32388) About Me 

Question 303394: Determine whether each series is arithmetic or geometric. Then find the sum to the given term.
35%2B70%2B140%2B280%2B%22...%22%2BS%5B7%5D

Click here to see answer by Edwin McCravy(20077) About Me 

Question 303577: two consecutive odd integers whose sum is one less than twice the larger number
Click here to see answer by user_dude2008(1862) About Me 

Question 303598: What is the next number in the sequence 1, 2, 3, 4, 6, 9, 13, 19, 28, …?
(A) 37 (B) 39 (C) 41 (D) 43 (E) 47

Click here to see answer by london maths tutor(243) About Me 

Question 303740: Find S11 for the geometric series 1+3+9+27+...
Iv'e tried tn=3tn-1 and got t11=3^10 and ended up with 59,049.. I'm an online student and my homework is multiple choice, the options are a)84,934 b)88,573
c) 93,198 d) 96,143
Can you help me? I'm not sure what I'm doing wrong or if I am using the wrong formula, help would definitelly be appreciated =]
Thanks, Rissa

Click here to see answer by Alan3354(69443) About Me 

Question 304013: I read Question 303577: two consecutive odd integers whose sum is one less than twice the larger number

Answer by user_dude2008(1201) "impossible".
I tried the two odd numbers -1 and 1; they seem to work.

Click here to see answer by richwmiller(17219) About Me 

Question 304873: i am the least common multiple of 2 numbers whose sum is 27 and whose difference is 3. what are the 2 numbers? what am i?
Click here to see answer by checkley77(12844) About Me 

Question 304849: You are playing paintball with a friend who is standing 15 meters away from you. You shoot at her and miss. The paintball has a horizontal velocity of 150 meters per second. Which of the following sequences describes the distances of the ball from you, in meters, at one-tenth second intervals, starting when it swooshes by her?
A. 15, 30, 45, 60, 75, ...
B. 15, 165, 315, 465, 615, ...
C. 15, 25, 35, 45, 55, ...
D. 30, 45, 60, 75, 90, ...
E. 150, 300, 450, 600, 750, ...

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Question 305187: what is the tenth term of the geometric sequence 1/2, -1, 2, -4?
Click here to see answer by Edwin McCravy(20077) About Me 

Question 305226: How do you find the sum of infinite geometric series?
Click here to see answer by stanbon(75887) About Me 

Question 305725: i really need help to try and solve this problem.
Which would you rahter be paid for 10 days-100 per day for 10 days or one dollar the first day,2.00 the secnd,4.00 the third,8.00 the fourth,etc,up to and including the 10th day?please show work so i can understand!
thank you so much

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Question 305677: The first 6 terms of the geometric sequence where r=4 and a1=6
Click here to see answer by Fombitz(32388) About Me 

Question 305901: 3+8+13+18+...+48 what is the sum of the sequence
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Question 306018: What would be the pattern and the next number in this sequence?:
1, 5, 10, 25, 50, ___

Click here to see answer by richwmiller(17219) About Me 

Question 306497: students are given a list of ten vocabulary words to learn. in how many ways could four of the words be listed on a test?
Click here to see answer by checkley77(12844) About Me 

Question 306494: FIND THE NEXT TWO TERMS OF THE GEOMETRIC SEQUENCE 6250, 5000, 4000
Click here to see answer by checkley77(12844) About Me 

Question 306813: write each series below in sigma summation notation
5+15+25+35..................
5+10+20+40+80....................
find the 10th term for b

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Question 307023: The fifth term of a geometric sequence is 1/27th of the eighth term. If the ninth term is 702, what is the eighth term?
Click here to see answer by scott8148(6628) About Me 

Question 307078: 8,11,16,23,32
write down the next 2 terms
write down an expression for the nth term

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Question 307176: write the next term in the sequence and then write the rule for the sequence: 1,4,9,16

Click here to see answer by jim_thompson5910(35256) About Me 

Question 307087: What is the formula for the following sequence:
12, 42, 92, 162,...

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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, 11791..11835