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 976138: Find the sum of arithmitic sequence. The 3rd term is -12 and the 7th term is 8
Click here to see answer by josgarithmetic(39618)

Question 976175: The number in the sequence is 17. if the second is 3, what is the first number?
Click here to see answer by Alan3354(69443)

Question 976298: Find the sum of the first 12 terms of the arithmetic sequence whos general term is an=3n+ 5

Click here to see answer by dkppathak(439)

Question 976296: Find the sum of the first 12 terms of the arithmetic sequence whos general term is an=3n+ 5

Click here to see answer by dkppathak(439)

Question 976292: Please help me solve x+y+z=30,find the posible values of x,y,z.where xyz are the subsets of {1,3,5,7,9,11}.

Click here to see answer by oscargut(2103)

Question 976324: If the series {ak} satisfies a1=1, a2=2, and (ak)-4(ak-1)+3(ak-2)=0 for K greater than or equal to 3, then ak=(1+p)/q for k greater than or equal to 1. Find p and q.
Please use the below representation-
ak = kth term = a subscript k
a1 = 1st term = a subscript 1
a2 = 2nd term = a subscript 2
ak-1 = (k-1)th term = a subscript k-1
ak-2 = (k-2)th term = a subscript k-2

Click here to see answer by stanbon(75887)

Question 976430: What is the sum of the multiples of 3 from 2 to 62

Click here to see answer by Alan3354(69443)

Question 976431: Sum of the multiple of 6 from 1 to 100
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Question 976440: Give the arithmetic sequence of 5 terms if the first term is 8 and the last is 100.
Click here to see answer by Tatiana_Stebko(1539)

Question 976598: What is the formula and checking if this in quadratic form of 1,3,17,31,49....
Click here to see answer by Edwin McCravy(20056)

Question 976571: The sequence is 17 the last number is 3 .what is the first number
Click here to see answer by Alan3354(69443)

Question 976732: 163,524,949,1898,next
Click here to see answer by Edwin McCravy(20056)

Question 976767: What is the factor as a polynomial in descending order? X^2-7x-18
Click here to see answer by Alan3354(69443)

Question 976760: Find n if Sn = 63, a1 = 21, and d = -4
Click here to see answer by FrankM(1040)

Question 976774: How to write the series in sigma/summation notation?
-2 + 1 + 4 + 7 + ... + 22
Click here to see answer by FrankM(1040)

Question 976784: How to find comman difference of 8th term is 67
Click here to see answer by FrankM(1040)

Question 976892: 16,6,68,88,78,98
Click here to see answer by Prijeeshrince(1)

Question 976879: 25, 10,4,8/5......
Click here to see answer by richwmiller(17219)

Question 976978: The sum of three numbers in A.P is 39 and their product is 2184. Find the three numbers?
Click here to see answer by rfer(16322)

Question 977005: The sum of three numbers in A.P is 39 and their product is 2184. Find the three numbers? Please solve this step-by-steps for me, as this will enable me understand how come about the result. Thanks.
Click here to see answer by Edwin McCravy(20056)

Question 977036: The sum of three numbers in A.P is 39 and their product is 2184.
Click here to see answer by richwmiller(17219)

Question 977004: The sum of three numbers in A.P is 39 and their product is 2184. Find the three numbers? Please solve it step by steps for me, as to enable me understand how come about the answer.
Click here to see answer by Alan3354(69443)

Question 977048: The sum of three numbers in A.P is 39 and their product is 2184. Find the three numbers. Please show all the steps involve that i may be able to practice on my own sir. thanks.
Click here to see answer by Alan3354(69443)

Question 976758: S50, when a1 = 6 and d = 2/7
Click here to see answer by Cromlix(4381)

Question 976757: S25, when a1 = 32 and d = -1
Click here to see answer by Cromlix(4381)

Question 977141: What is the common difference (d) and the next 2 consecutive terms of the series:
1, 6/5, 7/5, 8/5, 9/5, 2, ...
Ans: d=? ; ?, ?
Ex:
15, 10, 5, 0, -5, -10
Ans: d=5; -15, -20
Click here to see answer by Cromlix(4381)

Question 977193: 1, 1, 2, 4, 12,___, 108 find the value in the blank
Click here to see answer by FrankM(1040)

Question 977193: 1, 1, 2, 4, 12,___, 108 find the value in the blank
Click here to see answer by Edwin McCravy(20056)

Question 977240: Summation of1000,100,10,1,0.1,0.01
Click here to see answer by josmiceli(19441)

Question 976883: 3/20, 3/10, 3/8, 3/4, 3/2, 3,...,....,....,......
Click here to see answer by Edwin McCravy(20056)

Question 976891: 16,06, 68, 88, ?,98
Click here to see answer by Edwin McCravy(20056)

Question 977051: Test the series 1/(1*2*3) + 3/(2*3*4) + 5/(3*4*5) + ... for convergence.
Click here to see answer by Edwin McCravy(20056)

Question 977344: AN = A^1 + (n-1)d
Click here to see answer by josgarithmetic(39618)

Question 977382: if the sequence IS 17, the second number is 3, what is the first number???
Click here to see answer by josgarithmetic(39618)

Question 977391: the sum of the first n terms of the arithmetic progression 5,10,15... is 275 .how many terms are there in the sequence?
Click here to see answer by rothauserc(4718)

Question 977370: The number of
the sequence is 17, If the
second number is 3, what
is the first number?
Click here to see answer by Fombitz(32388)

Question 977368: 1+0+ +5 what is the missing number?

Click here to see answer by Fombitz(32388)

Question 977393: what is the value of b when the arithmetic mean of b + 2 and 4b +5 is 3b + 2?
Click here to see answer by Fombitz(32388)

Question 977416: Find the explicit formula for the geometric sequence with a9 = 128 and r = 2.
Click here to see answer by Cromlix(4381)

Question 977412: Find the common ratio when a2 = 64 and a5 = 8.
Click here to see answer by anand429(138)

Question 977411: Find the geometric means between the 2nd and 5th terms of the sequence 1, 1/5, _, _, 1/625, ....
Click here to see answer by josgarithmetic(39618)

Question 977411: Find the geometric means between the 2nd and 5th terms of the sequence 1, 1/5, _, _, 1/625, ....
Click here to see answer by MathTherapy(10552)

Question 977410: Find the 3rd term when a1 = 36 and a6 = 4/27.
Click here to see answer by josgarithmetic(39618)

Question 977509: find the missing term ?
2 9 28 65 126 _______?
Click here to see answer by anand429(138)

Question 977540: If the number of the sequence is 17 and 3 is the second number, what is the first number of the sequence
Click here to see answer by Fombitz(32388)

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