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

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Question 974243: 16+4+1+1/4+1/16+... Given the following series, write each series using summation notation, using the nth term
Click here to see answer by stanbon(75887)

Question 974240: 7+-2+-11+-20+...+-119 given the following series, write each series using summation notation, using the nth term
Click here to see answer by stanbon(75887)

Question 974404: If a,b,c, are in harmonic progression shown that (1/a+1/b-1/c)(1/b+1/c -1/a)=4/ac-3/b^2
Click here to see answer by Edwin McCravy(20056)

Question 974220: Give the first five terms of the sequence in which:
, for n > 1
--

Click here to see answer by Edwin McCravy(20056)

Question 974461: Complete the pattern: 1/8, 1/2,2,8 I need two more answers! Please help thank you
Click here to see answer by josgarithmetic(39618)

Question 974476: find/give the nth rule of
1/3,2/4,3/5,4/6
Click here to see answer by Edwin McCravy(20056)

Question 974479: how do i do this sumx/3-3=1
Click here to see answer by Alan3354(69443)

Question 974535: n^2 +3
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Question 974434: What is the nth term in the sequence:
{1},{2,3},{4,5,6},{7,8,9,10},.....

Click here to see answer by KMST(5328)

Question 974682: What is the missing term in the geometric sequence?
3/4, 1/2, 1/3, ?, 4/27, 8/81
A. 1/9
B. 1/4
C. 2/9
D. 2/3
Click here to see answer by Boreal(15235)

Question 974710: What kind of sequence is this?
16, 25, 36, 49, ...
Click here to see answer by josgarithmetic(39618)

Question 974781: If 17 is the sequence and 3 is the second number what is the first number?
Click here to see answer by Alan3354(69443)

Question 974873: In an increasing GP, the sum of the first and last term is 66, the product of the second and the last but one term is128, and sum of all terms is 126. How many terms are there in the progression?
Click here to see answer by amarjeeth123(569)

Question 974847: the sum of the second and third terms of a G.P is six times the fourth term. find the two possible values of the common difference.
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Question 974900: 3/4a where a=32

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Question 974900: 3/4a where a=32

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Question 974872: The value of xyz is 15/2 if a, x, y, z, b in AP.
While xyz is 18/5 if a, x, y, z, b in HP.
If a, b are +ve integers then find them.
Click here to see answer by Edwin McCravy(20056)

Question 974719: determine whether each sequence is arithmetic or geometric, find the explicit rule write it in summation notation, and calculate the sum
A) 1/4, 1, 4,...16384
B)2,7,12,..,77
Click here to see answer by Edwin McCravy(20056)

Question 974916: If the number of the sequence is 17 and the second number is 3 what is the first number?
Click here to see answer by Alan3354(69443)

Question 974313: What is the first 50 terms of a sequence whose 53th and 55th term are both 158?

Click here to see answer by Edwin McCravy(20056)

Question 974831: The sum of the following is 1 + 3 - 5 + 7 + 9 - 11+ 13......... 3n terms
Answer: 3n�-4n
Click here to see answer by Edwin McCravy(20056)

Question 975029: write the explicit form of 2,5,10,17...
Click here to see answer by josgarithmetic(39618)

Question 975031: Find the nth term of the A.Ps 1/2, 3/4. 1.......
Click here to see answer by KMST(5328)

Question 975020: Term after term find the first five terms of the given general term of an=2n-1
Click here to see answer by farohw(175)

Question 975143: a sub 1 =1; d=1. Give the first six term
Click here to see answer by MathLover1(20850)

Question 975186: Please help me solve this,
Expand the following: sigma n=4 k=0 ([4 k] x^k y^4-k)

Click here to see answer by solver91311(24713)

Question 975319: find index of <2> in Z24

Click here to see answer by farohw(175)

Question 975307: the number of the sequence is 17, if the second number is 3, what is first number of the sequence?
Click here to see answer by farohw(175)

Question 975334: 3 22 ? 673 2696 8093 what will come in place of question mark
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Question 975320:
Click here to see answer by Alan3354(69443)

Question 974658: a1=20,r=-3,n=6
find an
Click here to see answer by Edwin McCravy(20056)

Question 975018: Insert 2 arithmetic means between x+y and 4x-2y

Click here to see answer by Edwin McCravy(20056)

Question 974457: If α is an acute angle and 4tanα + 3cotα =7 , where α≠π/4 then the vlue of 2α is _______ .
(a) π
(b) Sin^(-1)(7/√50 )
(c) Sin^(-1)(7/25)
(d) Sin^(-1)(24/25)
Click here to see answer by Edwin McCravy(20056)

Question 975462: in the arithmetic sequence 1,5.9,13.....which term equals 153?

Click here to see answer by josgarithmetic(39618)

Question 975462: in the arithmetic sequence 1,5.9,13.....which term equals 153?

Click here to see answer by Boreal(15235)

Question 975829: the number in the sequence is 17,the second is 3 what is the first number in the sequence?
Click here to see answer by Alan3354(69443)

Question 975861: Describe an arithmetic sequence in two sentences.
Describe a geometric sequence in two sentences.
Click here to see answer by MathLover1(20850)

Question 975862: the sequence shown below is defined using a recursion formula. write the first four terms of the sequence.
a1 13 and an=an-1+8 for n>=2
Click here to see answer by amarjeeth123(569)

Question 975924: What must be the value of k so that 5k - 3, k + 2, 3k - 11?
Click here to see answer by Boreal(15235)

Question 975378: Find the Standard Deviation of the following set. Round to the nearest tenth.
{7,9,17,15,7,7,15,9,10}
Click here to see answer by Fombitz(32388)

Question 976000: find the sum of the first 12 terms of the geometric sequence 2, 6, 18, 54,....
Click here to see answer by Iambibek1(1)

Question 975923: Find 4 arithmetic means of 1/3 and 11/3.
Click here to see answer by amarjeeth123(569)

Question 975922: Insert 4 Arithmetic means 68 and 3.
Click here to see answer by amarjeeth123(569)

Question 975753: If five arithimetic mean are inserted between -9 and 9.what is the third mean?
Click here to see answer by amarjeeth123(569)

Question 976050: 3/64, 3/32, 3/16, 3/8, 3/4 = 3........(what are the next answers after 3 on RHS if LHS is as given above.
Click here to see answer by Edwin McCravy(20056)

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