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 888258: Sum the Series:
1�2+2�3+3�4+4�5+⋯+2013�2014
Thank you!
Click here to see answer by rothauserc(4718)

Question 888275: Find the sum of all 15 terms in a sequence 7, 3, -1, -5 ...tn,
Click here to see answer by richwmiller(17219)

Question 888240: Sum the Series:
1�2+2�3+3�4+4�5+...+2013�2014
I hope the multiply symbol turned out right! Thank you!
Click here to see answer by Edwin McCravy(20056)

Question 888413: What is the fifth term in this sequence 1, 2 , 8.....
Click here to see answer by JulietG(1812)

Question 888404: The sales tax on a car that sold for $12,000 is $840. At the same rate, how much higher is the sales tax on a car that sells for $18,500
Click here to see answer by JulietG(1812)

Question 888309: Express the general term a(n), (with n as a subscript), for an arithmetic sequence whose 7th term is 11 and 20th term is -41. Then find the 9th term.
Click here to see answer by josgarithmetic(39617)

Question 888397: In an AP the first term is 4 and the nth term is 36. Given that the sum of the first n terms is
363, find n and the common difference of the AP.

Click here to see answer by richwmiller(17219)

Question 888497: 1,3,7,15,31, ,127 what comes after 31?
Click here to see answer by rothauserc(4718)

Question 888598: In a sequence, each term after the second is the sum of the two preceding terms. The first and fifth terms are each 3. What is the second term in the sequence?
Click here to see answer by Edwin McCravy(20056)

Question 882696: if the man age is in 3 digit. his age is equal to product of two number. one of the number is the sum of the digits and the other number is product of the digits his age is?
Click here to see answer by Edwin McCravy(20056)

Question 869644: 17th term of (x+y)^21
Click here to see answer by Edwin McCravy(20056)

Question 888657: 18,30,48,72,96,?
Click here to see answer by richwmiller(17219)

Question 888705: If the second term of an A.S is 10 and his sum of first two term is 25 find the common difference
Click here to see answer by richwmiller(17219)

Question 888713: An arithmetic sequence whose fourth entry is 2 and whose seventh entry is 7
Click here to see answer by richwmiller(17219)

Question 889172: find the 10th term of the sequence 2,4,7,12,21,...
Click here to see answer by Edwin McCravy(20056)

Question 889287: Which number completes the series below?
48,12, 16, 4,8,....?
Click here to see answer by dkppathak(439)

Question 889335: 9,12,15,22,5,25,15,21 which one is odd in this series?

Click here to see answer by Edwin McCravy(20056)

Question 889429: All the page numbers of a book are added beginning at page one. However, one page number was mistakenly added twice. The sum obtained was 1000. Which page number was added twice? Do it in details.
Click here to see answer by richwmiller(17219)

Question 889410: if a+b=22/7 then calculate the value of ab
Click here to see answer by JulietG(1812)

Question 889810: if 8,x,y,27 are in GP. Find x and y?
Click here to see answer by richwmiller(17219)

Question 889814: find four geometric means between 1/8 and 4
Click here to see answer by stanbon(75887)

Question 890020: Nancy Bondy's aunt has promised to deposit $1 in her account on the first day of her birthday month, $2 on the second day, $3 on the third day, and so on for 30 days. How much will this amount to over the entire month.
Click here to see answer by jim_thompson5910(35256)

Question 890044: what is the sum of the arethmtic sequence below
2+5+8+..+59
Click here to see answer by Edwin McCravy(20056)

Question 890021: What is the next number in these 4 sequences?
1. 3, -6, 12, 4, 20, ?
2. 7, 16, 8, 27, 9, ?
3. 2, 7, 26, 101, 400, ?
4. 7, 21, 8, 72, 9, ?
Click here to see answer by richwmiller(17219)

Question 890164: complete the series
Click here to see answer by richwmiller(17219)

Question 890249: complete the series
3 4 9 34 340 ________ ?
Click here to see answer by Edwin McCravy(20056)

Question 890249: complete the series
3 4 9 34 340 ________ ?
Click here to see answer by richwmiller(17219)

Question 750716: complete the series 18,32,50,72
Click here to see answer by richwmiller(17219)

Question 890337: find the 54th term of an A.P 100,97,94---
Click here to see answer by Theo(13342)

Question 890359: 2+2=5
3+3=8
4+4=11
then
9+9=what?
Please solute this
Click here to see answer by Disciple(1)

Question 890394: The sum of ten consecutive multiples of fours is 140. What is the largest of the ten numbers?
Click here to see answer by Fombitz(32388)

Question 890394: The sum of ten consecutive multiples of fours is 140. What is the largest of the ten numbers?
Click here to see answer by MathTherapy(10552)

Question 889268: A+B+C=140
A is the Grandfather of C
& B is the Father of C
gas age of A then C is how much days that is the age of A in years
& C is how much days that is the age of B in Weeks.
Click here to see answer by tommyt3rd(5050)

Question 889993: find the next no in the series 12,6,6,9,18,45,?
Click here to see answer by richwmiller(17219)

Question 890715: find the seventh term of the sequence whose first two terms are 2 and 3 and each term beginning with the third is the sum of the two terms preceding it.
Click here to see answer by JulietG(1812)

Question 890677: A Gardener is making a trapezoidal planting, with 32 plants in the front row, 26 in the second row, 20 in the third row and so on. If the pattern is consistent, how many plants will there be altogether if there are two plants in the last row?
Click here to see answer by Lapric(19)

Question 890974: 1250 500 200 80 32 12.8 ? number series

Click here to see answer by nerdychic16(11)

Question 890983: I want to find the next number in the sequence and their pattern. And why the number came.
Here is the sequence:
260, 539, 771, 205, 196, 823, 880, ???
Click here to see answer by richwmiller(17219)

Question 890927: missing number series
5,240,5760,69120,414720,?
Click here to see answer by Tatiana_Stebko(1539)

Question 891009: I need to find the rule / function for the following sequance : 2 4 8 14 22.
Click here to see answer by josgarithmetic(39617)

Question 891009: I need to find the rule / function for the following sequance : 2 4 8 14 22.
Click here to see answer by richwmiller(17219)

Question 891132: If 6n-3... Draw up a number sequence if n =1;2;3;4 and 5
Click here to see answer by Tatiana_Stebko(1539)

Question 891201: Divide using long division.
(9p^2 + 8p^3 + 12) � (p + 1)
Click here to see answer by josgarithmetic(39617)

Question 891108: FIND THE 5TH TRM OF THE GEOMETRIC SEQUENCE WHOSE 1ST TERM IS 9 AND THE RATIO IS 1/4
Click here to see answer by richwmiller(17219)

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