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 1185482: if the common difference is -9 and the first term is 3x, the arithmetic sequence that can be formed is

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Question 1185490: Find the next three terms in: -14, -10, -6, -2
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Question 1185490: Find the next three terms in: -14, -10, -6, -2
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Question 1185490: Find the next three terms in: -14, -10, -6, -2
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Question 1185524: Solve each of the following problems.
1. Find the Harmonic mean between 1/2 and 1/10
2. Determine the harmonic mean between x and y
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Question 1185584: Find the missing term in harmonic sequence. Show the solution
___,1/2,2/5,1/3,___
Click here to see answer by greenestamps(13200)

Question 1185583: Insert the indicated number of harmonic means given the first and last terms. Show the solution.

1/2 and 1/6 [3] or insert 3
2/3 and 2/9 [2] or insert 2
5/2 and 5/27 [4] or insert 4

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Question 1185706: Geometric mean of 2 4 8 16 32 64
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Question 1185706: Geometric mean of 2 4 8 16 32 64
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Question 1185706: Geometric mean of 2 4 8 16 32 64
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Question 1185748: which term in the sequence -3, -6, -9, -12...is -30?

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Question 1185748: which term in the sequence -3, -6, -9, -12...is -30?

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Question 1185725: Please help me solve this
1-((2-1)/4)-((2^2-1)/4^2)-((2^3-1)/4^3)-((2^4-1)/4^4)- infinite
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Question 1185725: Please help me solve this
1-((2-1)/4)-((2^2-1)/4^2)-((2^3-1)/4^3)-((2^4-1)/4^4)- infinite
Click here to see answer by robertb(5830)

Question 1185523: Insert the indicated number of harmonic means given the first and last terms. Show the solution.

1/2 and 1/6 [3] or insert 3
2/3 and 2/9 [2] or insert 2
5/2 and 5/27 [4] or insert 4
Click here to see answer by robertb(5830)

Question 1185813: Insert 2 arithmetic means between 10 and 37.

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Question 1185530: Find the Maclaurin series for f(x) using the definition of a Maclaurin series. [Assume that f has a power series expansion. Do not show that
Rn(x) → 0.]
f(x) = ln(1 + 2x)
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Question 1185948: 48 16 21 7
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Question 1185948: 48 16 21 7
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Question 1185948: 48 16 21 7
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Question 1186018:

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Question 1186017: Find the missing terms in each geometric sequence.
1. ___,___,-16,4,-1
2. 625,___,25,___,1
3. 0.3,___,2.7,___,___.
4. -1/3,___,-4/45,___,8/135,___.

It's okay if there's no solution please help.
Click here to see answer by Edwin McCravy(20056)

Question 1186057: Find the common ratio of the geometric sequence 3, __, __, __, -5,625

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Question 1186074: Find the arithmetic mean of the following. Show the solution
1. 8 and 26
2. 24 and 54
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Question 1186075: Find the missing terms of the geometric sequence.
0.3,___,2.7,___,___.
Click here to see answer by josgarithmetic(39618)

Question 1186080: Find the missing term in geometric sequence.
-1/3,___,-4/45,___,8/135,___.
Click here to see answer by ikleyn(52788)

Question 1186084: Problem solving. Solve the word problem below and show your solution.
A ball is dropped from the top of a building that is 20 meters high. If the ball rebounds to a height that is half tall of its previous height every time it hits the ground. What is the total distance travelled by the ball before coming to rest?

Click here to see answer by Edwin McCravy(20056)

Question 1185522: Find the missing term in harmonic sequence. Show the solution
___,1/2,2/5,1/3,___
Click here to see answer by robertb(5830)

Question 1185522: Find the missing term in harmonic sequence. Show the solution
___,1/2,2/5,1/3,___
Click here to see answer by greenestamps(13200)

Question 1186218: The sum of an infinite geometric series is 108, while the sum of the first 3 terms is 112. Determine the first term of this series.

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Question 1186524: A concert room has spaces for 10 seats in the first row, 13 in the second, 16 in the third, and so on.
a. If there are 20 rows in the theater, represent the total number of seats in the concert room in sigma notation.
b. What is the maximum number of seats that can be occupied in the said concert room?
Click here to see answer by ikleyn(52788)

Question 1186523: A student decides to follow a simple scheme to save money. She puts aside 5 peso the first day, 10 pesos the second day, 15 pesos the third day, 20 pesos the fourth day, and so on.
a. Following the pattern of how she saves money, how much will she put aside on the 30th day?
b. How much money will she have at the end of 30 days?
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Question 1186602: 51, 53, 56, 60 what comes next? 51, 53, 56, 60, __, __
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Question 1186602: 51, 53, 56, 60 what comes next? 51, 53, 56, 60, __, __
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Question 1186602: 51, 53, 56, 60 what comes next? 51, 53, 56, 60, __, __
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Question 1186602: 51, 53, 56, 60 what comes next? 51, 53, 56, 60, __, __
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Question 1186636: a1=-10 and 2an-1
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Question 1186884: What is the next term in this sequence?
66 67 70 71 72 73 74 75 76 77
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Question 1186884: What is the next term in this sequence?
66 67 70 71 72 73 74 75 76 77
Click here to see answer by greenestamps(13200)

Question 1186957: 2. Given that
(4 20)
2
n +
n
is the sum of the first n terms of an arithmetic sequence.
a) Write down the expression for the sum of the first
( 2) n − terms. [3 marks]
b) Find the first term and the common difference of the above sequence.
Click here to see answer by greenestamps(13200)

Question 1187153: ∞
∑n=0
(3+sinnθ)/10n

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Question 1187173: what is the nth term of the sequence 0,6,14,24,36,50,...
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Question 1187218: 7. Find the sum of
a) the positive multiples of 5 up to 500
b) the positive multiples of 7 up to 245

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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