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 715354: U r asked by ur elderly neighbour to lay a stone path frm the back door of her house to the bird feeder 44 units across her backyard.each unit is 500mm.she purchased 15 crircular stones,each 1 unit wide in diameter,nd wud lyk u to place them equally spaced across the backyard with the last stone touching the feeder.the distance frm the houset to the first stone is up to you,so you may make it different to the spacing betwe to u.how far apart would u lay the stones to use all the 15?
Click here to see answer by KMST(5328)

Question 715628: If a+b+c = 8 and ab + bc + ac = 13 , find the value of (a^2) + (b^2) + (c^2)
Click here to see answer by aliafzal14(13)

Question 715627: If a+b+c = 8 and ab + bc + ac = 13 , find the value of (a^2) + (b^2) + (c^2)
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Question 715603: 123456789 987654321
123456780 087654321
123456700 007654321
123456000 000654321
123450000 000054321
123400000 000004321
123000000 000000321
120000000 000000021
100000000 000000001
Click here to see answer by lynnlo(4176)

Question 715626: Find the value of 27(x^3) - 108(x^2)y + 144xy^2 - 64(y^3) , when x = 2, y = (-1)
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Question 716105: 15th term of the A.P. x-7, x-2, x+3, ........ is :
(A) x+63 (B) x+73 (C) x+83 (D) x+53
Click here to see answer by mananth(16946)

Question 716610: what is the common ratio of 1^2,2^2,3^2?
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Question 716639: 4+(7-3)/8-1=
Click here to see answer by checkley79(3341)

Question 717677: number of multiples of 7 numbers between 200 and 300
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Question 719677: the next number or item in the sequence:2- 5 15 45 135 405 1215
Click here to see answer by swincher4391(1107)

Question 720030: the sum of the positive even integers less than 10
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Question 720174: Find the sum of the series.
.2+.02+.008+ ..............
Click here to see answer by lynnlo(4176)

Question 720510: Barbra made a clay sculpture that has a mass of 92 kg.Louis wants to make a similar sculpture that is 1/1,000 the size of Barbra's how much clay will he need?

Click here to see answer by stanbon(75887)

Question 720811: Find the sum of the first 60 terms of the arithmetic sequence 14, 19, 24, 29.....
Click here to see answer by Edwin McCravy(20056)

Question 720845: The fifth term of an arithmetic progression is 24 and the sum of the first tenth terms is 265. Write the first three terms of the sequence.
Click here to see answer by josgarithmetic(39618)

Question 720935: Find the median of first k terms of an A.P whose nth term is 2n + 5.
Click here to see answer by Edwin McCravy(20056)

Question 721075: 6.25 is 400% of what #?;
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Question 721432: Write a recursive formula and show work for
81, 27, 9, 3,...
Click here to see answer by MathLover1(20850)

Question 721538: Upon examining the contents of 38 backpacks, it was found that 23 contained a black pen, 27 contained a blue pen, and 21 contained a pencil, 15 contained both a black pen and a blue pen, 12 contained both a black pen and a pencil, 18 contained both a blue pen and a pencil, and 10 contained all three items. How many backpacks contained none of the three writing instruments?
Click here to see answer by Edwin McCravy(20056)

Question 721734: I need help with this question. I succeeded in finding the first part of the soulution, but I got stuck.
a) Determine and state if the sequence below is Arithmetic or Geometric. Then find the value of the term.
-32, -12, 8, 28,...
Find a10
Click here to see answer by josgarithmetic(39618)

Question 722020: Frank drove 224 kilometers using 21 liters of gas. At this rate, how many liters of gas would he need to drive 272 kilometers?
Click here to see answer by lenny460(1073)

Question 722695: What is the missing letter in these two letter sequences? P?MDAS and ROYGB?V. Hint: the other sequences have been the first letters of days of the week, planets, and Do-Re-Me. My email is KleeG97@aol.com. Thanks.
Click here to see answer by Edwin McCravy(20056)

Question 722803: AGENT 86
Fill in the missing square in such a way that the rows, columns, and diagonals all add up to the same number.
32 19 ___ 8
10 25 ___ ___
9 ___ ___ ___
35 16 ___ 11
Click here to see answer by Edwin McCravy(20056)

Question 723029: T(n)=8+7(n-1). N=0
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Question 723418: Please help me solve: Write the rule for the arithmetic series
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Question 723103: Three numbers form an arithmetic sequence having a common difference of 4, if the first number is increased by 2, the second number increased by 3 and the third number by 5, the resulting numbers form a geometric sequence. Find the original numbers.
Click here to see answer by KMST(5328)

Question 723119: What is the sum of all the multiples of 4 through 4000?
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Question 723522: Please help me solve: Find the sum of the series:
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Question 723780: Could you please teach me how to evaluate the sum of the following series?
1 + 2 � 3 + 4 � 5 + 6 � 7 + � + 2000
Click here to see answer by AnlytcPhil(1806)

Question 723820: Question 1:
Evaluate the limit of the following sequence
{sin⁡4n/(n^2+5)}_(n=0)^∞
My final answer is 0.

Question 2:
Determine whether the following series is convergent or divergent by applying relevant tests
∑_(n=1)^∞▒(n+4)/(n^2+2n+1)
Question 3:
Find the radius of convergent of the following power series
∑_(n=1)^∞▒n!/n^3 (x-1)^n
Question 4:
Find the Maclaurin series for the following function
f(x)= 1/1+x
Click here to see answer by lynnlo(4176)

Question 723794: 112m^2-79m-56
Click here to see answer by checkley79(3341)

Question 723968: Find the nth term of each arithmetic sequence described
a1=6,d=3,n=12
Please help i need work for this problem i do not understand, then i will be able to solve others. Thank You
Click here to see answer by MathLover1(20850)

Question 724272: The sum of 12 consecutive odd numbers is 72. Find the 10th term in the sequence
Click here to see answer by Alan3354(69443)

Question 725078: which term of the sequence 39,35,31............... is negative 33?
Click here to see answer by mananth(16946)

Question 725335: Find the value of x so that x+1, 3x-2, and 4x+5 form an arithmetic sequence
Click here to see answer by Edwin McCravy(20056)

Question 725570:
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Question 726155: Please help me with this problem:
Write the terms of the series and find their sum?
4
∑ (k+7)^2 =
k=1
Thank you in advance for your help.

Click here to see answer by stanbon(75887)

Question 726661: A theater has 37 seats in the first row, 41 seats in the second row, 45 seats in the third row and so on. how many seats are in row 15
Click here to see answer by jim_thompson5910(35256)

Question 726593: The first 2 terms of a geometric series have a sum of -4. The fourth and fifth terms have a sum of 256. Find the first term and the common ratio of the series.
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Question 726706: solve for x. 3 : 5 :: 81 : x
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Question 726705: express 7/4 as a decimal
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Question 726705: express 7/4 as a decimal
Click here to see answer by Alan3354(69443)

Question 726828: What is the binomial thereom of 1.(x-1)8
2.(x-3)5
3.(2x+3)5
4.(2x-1)6
5.((1/2)-x*squared*)7
Click here to see answer by lynnlo(4176)

Question 726530: if the nth term of a sequence is 4n-3
how many terms in the sequence are less than 300?
Click here to see answer by KMST(5328)

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