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 1047254: please help me out : 12, 3 ,19,10, 305, 8 , 91 ..... ??
Click here to see answer by richard1234(7193)

Question 1047334: [1,3,5,7,9,11,13,15 ] it's options in this question
□+□+□=30
Click here to see answer by josgarithmetic(39618)

Question 1047476: Question on Arithmetic Progression (AP)
Find the S15 if T4 = 15 and T9 = 30
Click here to see answer by ikleyn(52788)

Question 1047524: k=n
If ∑ = n(5+3n)/2, find an expression for a_n (a subscript n)
k=1
Click here to see answer by ikleyn(52788)

Question 1047528: The sum of the first 30 terms of a geometric sequence is:
18[1-(2/3)^30]
________________
1/3
a. what are the first five terms of the sequence?
b. Estimate the sum of the first one million terms. (How do I do this?)
Click here to see answer by robertb(5830)

Question 1047530: -5, 3, -2, 1, -1, 0, _____, _____
Click here to see answer by Horlaye(27)

Question 1047523: Given the geometric sequence 6, -3,1.5,-0.75, 0.375
a. Find the next two terms of the sequence
b. Write a closed forumla and a recursive formula for the sequence
c. Write the partial sum Sn (s subscript n) in Sigma notation
Click here to see answer by robertb(5830)

Question 1047549: find the sum of the positive even integers up to and including 350.
Click here to see answer by Alan3354(69443)

Question 1047550: The balcony of a theater has 12 rows of seats. The last row contains 8 seats, and each of the other rows contains one more seat than the rows behind it. How many seats are there in the balcony?
Click here to see answer by jorel555(1290)

Question 1047684: The first two terms of an arithmetic sequnce are 3, 7 and the last term is 355.
a. How many terms are there?
b. What is the 40th term?
c. What is the sum of the series?
Thanks in advance for helping out! I understand the concept but am having difficulty in solving this problem.
Click here to see answer by ikleyn(52788)

Question 1047693: Find the sum of the first 260 positive odd integers
Click here to see answer by josgarithmetic(39618)

Question 1047693: Find the sum of the first 260 positive odd integers
Click here to see answer by ikleyn(52788)

Question 1047682: Can you explain how to to solve this problem?
n=x
∑ = n^2-2n+1=630
n=12
Solve for x.
Click here to see answer by stanbon(75887)

Question 1047716: What is the pattern -3, 6, -9, 12
Click here to see answer by Boreal(15235)

Question 1047762: Write the general term for the following sequence:
-2, 3, 8, 13, 18, 63
Click here to see answer by ikleyn(52788)

Question 1047898: Two arithmetic sequences have the same common difference. How many terms could the sequences have in common? Justify your answer.
Click here to see answer by AnlytcPhil(1806)

Question 1047952: Let x be the required Geometric Mean (GM) between a and b. Then a, x, b, are the successive terms in the Geometric Progression. Find the GM
Click here to see answer by robertb(5830)

Question 1047950: The sum of five numbers in an Arithmetic Progression is 25 and the sum of their squares is 165. Find the common difference.
Click here to see answer by robertb(5830)

Question 1047950: The sum of five numbers in an Arithmetic Progression is 25 and the sum of their squares is 165. Find the common difference.
Click here to see answer by ikleyn(52788)

Question 1047953: The sum of an A.P. is 20, the first term being 8 and the common difference � 2. Find the number of terms in the series.
Click here to see answer by ikleyn(52788)

Question 1047951: The sum of the first n terms of a series is 2n^2−n. Find the nth term
Click here to see answer by ikleyn(52788)

Question 1047955: Find the number of terms in an Arithmetic Progression whose first term is 5 common difference 3 and sum is 55
Click here to see answer by ikleyn(52788)

Question 1048108: Can i get the recursive equation for
1 , -2 , 4 , -8, 16 ?
It would help a lot if i could get it as soon as possible!!!
Click here to see answer by ikleyn(52788)

Question 1048121: Explicit Equation for
1 , 1.5 , 2 , 2.5 , 3 , ...
Click here to see answer by josgarithmetic(39618)

Question 1048005: Write the general term of the following sequence:
-2, 3, 8, 13, 18, 63
Click here to see answer by MathLover1(20850)

Question 1048127: 3, , , 17, , ,
Click here to see answer by josgarithmetic(39618)

Question 1048127: 3, , , 17, , ,
Click here to see answer by ikleyn(52788)

Question 1048173: 0,1,0,3,8?

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Question 1048169: 12,47,152,467,1412? and next number pls explantion
Click here to see answer by ikleyn(52788)

Question 1048189: Find the sum of following series.
100, 93,86,79......................up to 20 terms

Click here to see answer by Boreal(15235)

Question 1048526: Write the next term of the sequence and a rule for the n th term of 1,2,4,8,....
Click here to see answer by ewatrrr(24785)

Question 1048559: Evalute the finite series for the specified number of terms
1+2+4+....n=8
Click here to see answer by ewatrrr(24785)

Question 1048556: Find the sum of all the prime factors of 27000001.
Now, this I already solved, but is there any way to better present it rather than trial division?
What I did was using sum of cubes property to express it as 301� 89701, then factor out 301 into 7 and 43. For the number 89701, it was purely trial division.
I need your help, thanks.
Click here to see answer by rothauserc(4718)

Question 1048790: Write the general term for the following sequence:
1, 1, 2, 3, 5, 8, ...
Click here to see answer by chen.aavaz(62)

Question 1048942: What is the next number in the sequence: 1, 8, 27, 64, 125?
Click here to see answer by MathLover1(20850)

Question 1048869: An=A1 + (n-1)d
Click here to see answer by ikleyn(52788)

Question 1048783: What is the next number in this sequence. 1. 3. 9. 19. 34. 52. 74
Click here to see answer by ikleyn(52788)

Question 1048783: What is the next number in this sequence. 1. 3. 9. 19. 34. 52. 74
Click here to see answer by Mjohnston65(1)

Question 1048971: 1, 4, 12, 52, 142, 412, 1249, 3760
What is the next sequence number?
Click here to see answer by ikleyn(52788)

Question 1049308: The length of a new rectangular playing field is 3 yards longer than doubledouble the width. If the perimeter of the rectangular playing field is 258 yards, what are its dimensions?

Click here to see answer by jorel555(1290)

Question 1049490: What comes next and which formula use tell me
Question:- 93,49,58,18,20,45,26...............???
Click here to see answer by ikleyn(52788)

Question 1049489: 5,9,13,?,57,157
Click here to see answer by ikleyn(52788)

Question 1049538: When 1/4 of a number is added to 12 the result is 12
Click here to see answer by ewatrrr(24785)

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