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

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Question 1008763: Is my answer correct?
I am supposed to find the first five terms and the tenth term given the explicit formula for an arithmetic sequence.
an = -10 – 3(n – 1)
-16,-19,-22,-25,-28
Tenth term:-43

Click here to see answer by fractalier(6550) About Me 
Question 1008763: Is my answer correct?
I am supposed to find the first five terms and the tenth term given the explicit formula for an arithmetic sequence.
an = -10 – 3(n – 1)
-16,-19,-22,-25,-28
Tenth term:-43

Click here to see answer by stanbon(75887) About Me 
Question 1008763: Is my answer correct?
I am supposed to find the first five terms and the tenth term given the explicit formula for an arithmetic sequence.
an = -10 – 3(n – 1)
-16,-19,-22,-25,-28
Tenth term:-43

Click here to see answer by MathTherapy(10552) About Me 

Question 1008750: Please help me solve this.. I did it but can solve it
Determine the first 4 susesion terms of:
d=-3 and a1=7
Thanks for your help

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Question 1008774: Plese help dont understad how to resolve.
Thanks in advance
An={3, 3/4, 3/16, 3/64...}

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Question 1008775: Need help to resolve. Thanks please!!
6
∑ (n+1)
n=2

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Question 1007933: Let a, b, and c represent real numbers that are not consecutive terms of an arithmetic sequence or of a geometric sequence.
If a

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Question 1008519: Write an explicit formula for the sequence an=-3an-1 and a1=3 explain your answer
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Question 1008782: Thanks.. I think I did the wrong answer.
Was.. Determine the sum of the sussesion
An={3, 3/4, 3/16, 3/64...} (3/4., 3/16... are fracctions...)

Click here to see answer by fractalier(6550) About Me 

Question 1009381: Is my work and answer correct for this problem?
The instructions were to find the first five terms and 10th term given the explicit formula.
an = 8 – 5n
a1 = 8-5(1) = 8-5 = 3
a2 = 8-5(2) = 8-10 = -2
a3 = 8-5(3) = 8-15 = -7
a4 = 8-5(4) = 8-20 = -12
a5 = 8-5(5) = 8-25 = -17
a10 = 8-5(10) = 8-50 = -42
First five terms: 3, -2, -7, -12, -17
10th term: -42

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Question 1009389: Please solve:
Sn=1/1+1/2+1/3+....+1/n

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Question 1009414: I'm having trouble understanding how to solve this geometric sequence. Please help me solve it and understand how to do so:
The first term is 1 in the geometric sequence 1, −3, 9, −27, .... What is the SEVENTH term of the geometric sequence?
F. $310
G. $340
H. $342
J. $350
K. $380
Thank you in advanced.

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Question 1009560: 40-50n
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Question 1009838: Please someone could help me with this. Thanks in advance
If an={-3,2,7,12,17...}
Determine a138

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Question 1009837: Be glad if someone could help me with this. Thanks
If an={-3,2,7,12,17...}
Determine the sum of the firts 40 terms of an

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Question 1009835: Need help to resolve. Thanks please!!
30
∑ (1+ (1/3)ᶺi Note: 1/3 is a fraccion
i=1

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Question 1010133: Find General term for (An) for arithmetic sequence where
a1=13 and a4=25

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Question 1010479: Write down the next three terms in the following sequences:-
1. 1,2,6,24...
2. 1024,512,256,128,64...

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Question 1010432: what function describes the sequence 7, 63, 567, 5, 103

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Question 1010432: what function describes the sequence 7, 63, 567, 5, 103

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Question 1010190: 1,11,21,1211,111221,312211,13112221,...?
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Question 1010746: "What is the simillarity between these sequence numbers? 85,19,17,4 and 2
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Question 1010798: If the 4th term of an arithmetic series is 62 and the 14th term is 122. Determine the sum of the first 30 terms.
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Question 1010816: (x-1/2) - (x-2/2) + (x-3/2) - ... - (x-100/2)
Please have clear steps and working out. Thanks!

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Question 1010826: Find the sum of the first 70 terms of the arithmetic sequence: 22,19,16,13
Find the exact sum of the infinite geometric sequence a (1/2), (-1/4),(1/8)

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Question 1010840: when Sn is equal to zero ? is there any condition behind it?
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Question 1010896: Sum of the first 6 terms of a geometric progression equals to 63.
Sum of the even terms equals to 42.
What's the common ratio and the initial value?
Simply wrote, it's
s6=63
a2+a4+a6=42
a1=?
r=?
Sum of the odd numbers therefore is A1+A3+A5=21.
I expand a2+a4+a6=42 to a1%2Ar%2Ba1%2Ar%5E3%2Ba1%2Ar%5E5=42 and a1+a3+a5=21 to a1%2Ba1%2Ar%5E2%2Ba1%2Ar%5E4=21.
I can further simplify it to a1%2A%28r%2Br%5E3%2Br%5E5%29=42 and a1%2A%281%2Br%5E2%2Br%5E4%29=21.
I have no idea how to progress further.

Click here to see answer by Boreal(15235) About Me 

Question 1008241: Kindly assist to find the next 2 numbers in the following series:
17,8,24,3,13,31,33,32,?,?
37,32,2,29,46,1,9,1,?,?
14,4,35,38,16,36,40,14,?,?
30,30,40,2,3,20,3,11,?,?
43,49,27,22,10,22,20,36,?,?
18,48,12,9,41,6,13,29,?,?
5,0,7,5,2,8,1,1,?,?

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Question 1010895: The sum of an AP is 4 and d first term is twice the third term of a GP,find (I)the 23rd term of an AP.
(II)common difference of d GP wen a is 8.

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Question 1010974: Find both an explicit formula and recursive formula for the nth term for arithmetic sequence 76,70,63
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Question 1010973: Find both an explicit formula and recursive formula for the nth term for arithmetic sequence 76,70,63
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Question 1008776: Need help please.. Thanks
How many of this succession terms -12,-7,-2,3,8...need to be sum so the total will be 105 ?

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Question 1008776: Need help please.. Thanks
How many of this succession terms -12,-7,-2,3,8...need to be sum so the total will be 105 ?

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Question 1011193: Please help me free tutor《1,8,27,64》what is the next term
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Question 1011191: How to solve this next two term sequence《1,8,27,64》please help me.
Click here to see answer by Edwin McCravy(20056) About Me 

Question 1009343: The 5th term of an A.P is 9 and the 8th term is 27, find; the 6th term and the sum of the 7th and 11th term
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Question 1011282: Find the 4th term of the arithmetic sequence with a base 1=-6 and d=2.
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Question 1011287: sequence number for 1,7,23,55,.109???
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Question 1011294: the end term of the sequence is 9x-z. the third term is 25 so what is the value of z?

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Question 1011296: the end term of the sequence is 9x-z. the third term is 25 so what is the value of z? (the description is (a+n-1d) )
Click here to see answer by josgarithmetic(39617) About Me 

Question 1011299: Question 1011296 is really difficult to understand

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Question 1011407: Find the first negative term of an AP 129,120,111,102....and so on.

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Question 1011466: Square QRST has vertices Q(2,8),R(-4,8),S(-4,2),and T(2,2).Triangle QTU shares 2 vertices with square QRST.Whichordered pair describes point U if the area of the triangle QTU is the same as the area of square QRST?
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Question 1011478: What will be the next number in 10,51,33,44 series.

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Question 1011492: 655189670949926 ????
655140750786213 ????
659170751061213 ????
652172941017991 2615
650181670950051 2487
655114670949926 5539
How do i come up with the ?
Thank you

Click here to see answer by Edwin McCravy(20056) About Me 

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