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 665392: how to solve the equation 3r + 5 divided by 2 + 2= 12 - 2r and find the value of r. I have four answer choices 2 1/7, 3 2/3, 15, and 10. I tried to replace r with these answers but they all of them don't seem to match in the end. Thanks for all the help!
Click here to see answer by MathLover1(20850)

Question 664760: What number added to 85 gives a sum which is five less then six times the original number?
Click here to see answer by ReadingBoosters(3246)

Question 665579: I am desperate for some HELP!
Determine whether each of the distributions given below represents a probability distribution.
Justify your answers.
(A)
x_____|___1_____2_____3_______4
P (x) �| 1/5 �.5/12�.1/3��1/6
(B)
X____| ___3_____6________8
P (x) | �0.2�.2/5��0.3
(C)
X____|___20_____35____40____50
P(x) | �..0.3��.-0.1�..0.5��.0.3

Click here to see answer by ewatrrr(24785)

Question 666470: How do I invent a data set with five data values if I know that the mean is 12 and the standard deviation is 3?
Click here to see answer by lynnlo(4176)

Question 497688: using the infinite series equation, explain how .9 repeating equals one. I tried to do it by myself, but I cannot figure it out. Please help me, but not give me a direct answer.
Click here to see answer by Evy Hofbauer(7)

Question 667003: Write an equation that describes sequence?
25,44,53,62,.... What's the 12th term?
Click here to see answer by swincher4391(1107)

Question 667820: what is the missing term of the following solution?..-34,_,77
Click here to see answer by swincher4391(1107)

Question 668948: Find the next number in the sequence:
3, 12, 21, 30, 33, 102
Click here to see answer by Edwin McCravy(20056)

Question 668948: Find the next number in the sequence:
3, 12, 21, 30, 33, 102
Click here to see answer by lynnlo(4176)

Question 669541: the sum of first 10 terms of an AP is -80 and sum of next 10 terms is -280.find the A.P
n
Click here to see answer by Edwin McCravy(20056)

Question 670334: what number is 1/5%of 77?
Click here to see answer by rfer(16322)

Question 670927: A(n)=A(1)+nd-d
Please help me solve this problem
Click here to see answer by stanbon(75887)

Question 670947: Please help me solve this problem.
A(n)=A(1)+nd-d
Solving for d.
Click here to see answer by ankor@dixie-net.com(22740)

Question 671327: Using PEMDAS, what is 16 divided by 4 times 3 minus 6? I don't think 6 is the right answer because I have to do my division after multiplication. I'm confused.
Click here to see answer by ReadingBoosters(3246)

Question 672403: Identify the terms in each expression: 7a-9b
Click here to see answer by ReadingBoosters(3246)

Question 672403: Identify the terms in each expression: 7a-9b
Click here to see answer by stanbon(75887)

Question 672446: 174 - (-24)
Click here to see answer by lenny460(1073)

Question 672675: Find the sum of the first 60 terms of the arithmetic sequence whose first term is -15 and whose common difference is 5
Click here to see answer by Edwin McCravy(20056)

Question 672674: A list of consecutive integers starting with 1 is written on the blackboard. One of the numbers is erased. If the average of the remaining numbers in 35 6/17, then the number erased was?
Click here to see answer by Edwin McCravy(20056)

Question 672769: I have a sequence of 5,15,25,35,... and I am suppose to find the 50th term , and I am not sure how to find it can you help me.
Click here to see answer by MathTherapy(10552)

Question 673185: Find the sum of 6+18/20?

Click here to see answer by rm29924(97)

Question 673253: We have numbers ranging from -17 through 17. How many possible sums can be made with these numbers?
Click here to see answer by solver91311(24713)

Question 673220: The second and fifth terms of a geometric series are -15 and 405 respectively. What are the first term and the common ratio in the series? What is the sum of the first 9 terms of the series?
Click here to see answer by ewatrrr(24785)

Question 673222: The second term in a geometric series is 36. The sum of the first two terms is -18. What is the first term and the common ratio? what is the sum to infinty of the series?
Click here to see answer by Edwin McCravy(20056)

Question 674615: Consider the sequence:6;6;2;-6;-18

Determine an expression for the nth term,Tn
Click here to see answer by solver91311(24713)

Question 675295: what is the next number in the sequence {1,2,6,15,31,... }?
Click here to see answer by sachi(548)

Question 675337: find the next term of the sequence {1,4,11,26,57,120,...}?
Click here to see answer by Alan3354(69443)

Question 675337: find the next term of the sequence {1,4,11,26,57,120,...}?
Click here to see answer by Edwin McCravy(20056)

Question 675392: I've been given a question asking to solve which is the odd one out in the sequence...and i've approached it from different angles but can't find the answer:
1, 3, 5, 6, 10, 15, 18, 21, 27, 28, 36, 45.

I also have another two questions like this, but I have to get this one right in order to choose the next correct sequence as it takes me to another page when I click the answer. And if I click the incorrect answer, my tutor said that it'll take me to a certain sequence so he'll know I was wrong :S
So my homework has really come down to a stand still. I really appreciate the help!!

Click here to see answer by lynnlo(4176)

Question 671129: what number is missing from this pattern 3,8,18,? 53,78
Click here to see answer by lion2(2)

Question 675537: how would i use a number property to express 6(a+b) as a sum??
Click here to see answer by jim_thompson5910(35256)

Question 675537: how would i use a number property to express 6(a+b) as a sum??
Click here to see answer by ReadingBoosters(3246)

Question 675807: use the formula d=rt to find the value of the missing variable d=185 feet t = 37 seconds
Click here to see answer by ReadingBoosters(3246)

Question 675848: is the sequence 1,1,1,1,1,1,1 a arithmetic sequence
Click here to see answer by MathLover1(20850)

Question 676319: What is 129.5 divided by 13
Click here to see answer by rfer(16322)

Question 676527: Rachel signed up for a frequent-flier program. She receives 4300 frequent� flier miles for her first round trip and 1300 frequent-flier miles for each additional round-trip. How many frequent-flier miles will she have after 5 round-trips?
Click here to see answer by ReadingBoosters(3246)

Question 677030: What is the seventh number in the sequence 1,1,2,4,3
Click here to see answer by littlebitlove(26)

Question 676526: What are the next four in each arithemetic sequence
-1.1, -0.9, -0.7, -0.5
Click here to see answer by jim_thompson5910(35256)

Question 677279: 3,5,9,15,23,33,45,59 what is the number pattern or the rule for this equation?
Click here to see answer by jim_thompson5910(35256)

Question 678553: What two numbers would complete this pattern. 15,30,20,27,25,24,30,21,35,18,_,_

Click here to see answer by nerdybill(7384)

Question 679081: Find the first 25 terms of the arithmetic series:
8+15+22+29+...
Click here to see answer by partha_ban(41)

Question 679893: find the first term of (x-y)^11
Click here to see answer by stanbon(75887)

Question 680233: Solve for x:
z=19+3(x+y)
Click here to see answer by ankor@dixie-net.com(22740)

Question 680379: What is the next 4 numbers in this pattern
1,5,13,26,45,71
Click here to see answer by solver91311(24713)

Question 681567: Find An for the arithmetic series with S16 =-288 and a1=-21
Click here to see answer by Jolliano(16)

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