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

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Question 999212: Consider a sequence given by the formula f(n) = 1/3n-1 starting with n = 1. Generate the first four terms of sequence.
Click here to see answer by fractalier(6550) About Me 

Question 999402: I have a question on this; I have tried multiple times, but cannot find the answer. Can you help?
The question is:
What is the value of the missing number?
5, 9, 16, 29, 54, (missing number), 200
If you could explain this, that would be awesome. Thanks!

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Question 999500: 3/2, 3/4,3/8,3/6...
What the 7th number in tjis series, and how

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Question 999778: What is x. When x over 5 equals 3

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Question 999781: Can you please explain and show me how to find the term of arithmetic sequence.
18th term: aš=-2;d=-3

Click here to see answer by mananth(16946) About Me 

Question 999847: the last three terms of an arithmetic sequence with 18 terms are 67, 72,77 . Find the first term and the sum of the series
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Question 999847: the last three terms of an arithmetic sequence with 18 terms are 67, 72,77 . Find the first term and the sum of the series
Click here to see answer by AnlytcPhil(1806) About Me 

Question 999996: The question reads Tell whether each sequence is an arithmetic sequence. If it is,find the common difference.
The sequence reads: 3, 5, 8, 12, 17,...
I know the sequence is +2, +3, +4, +5 but is there a way to write this as an "arithmetic sequence". All of the others were easy like "+2, -4" etc...but this oneis a bit confusing.

Click here to see answer by josgarithmetic(39617) About Me 

Question 1000064: Please help me solve the question
if ax^3+bx^2+cx+d is divisible by ax^2+c then a,b,c,d are in ap or gp or hp or none?

Click here to see answer by KMST(5328) About Me 

Question 1000160: my first term is 3, second term is 7, third term is 10(arithmetic sequence). What will be my 30th term? how? please mention formula..
Click here to see answer by fractalier(6550) About Me 

Question 1000166: Four algebra 2 questions for practice before a test??
1. What are the first four terms of the sequence given by the formula below?
a_n=-2n+4
2. What is the 8th term of the sequence given by a_n=3n-5?
3.Write a recursive definition for the sequence below:
-1, 4, 9, 14
4. Write an explicit definition for the sequence 2, 8, 14, 20, 26.

Click here to see answer by stanbon(75887) About Me 

Question 1000168: Amelia is starting a new exercise routine. on the first day, she will do 8 sit ups. On the second day, she will do 12 situps. On the third day, she will do 16 sit ups. on the fourth day, she will do 20 sit ups . Write an explicit formula for the sequence of the number of situps she will do.

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

Question 1000173: I need help on these questions as I'm preparing for a unit test. Please help
Is the sequence geometric? If so, identify the common ratio.
256, 64, 16, 4
What is the summation notation for the series?
200+175+150+125+...+(-300)
What is the sum of the arithmetic series?
5
Σ (3n-2)
n-1
What is the sum of the geometric series? Round to the nearest whole number.
16
Σ 6(1/4)^n
n-1
Does the infinite series diverge or converge? If it converges what is the sum?
10+2+2/5+2/25+....

Click here to see answer by ikleyn(52787) About Me 

Question 1000244: if the greatest value of ab(c^2) is 1/64. find a,b,c (numerical value)
Click here to see answer by fcabanski(1391) About Me 

Question 1000369: nth element of sequences -1,2,-4,8 is
Click here to see answer by josgarithmetic(39617) About Me 

Question 1000372: nth element of sequences -1,2,-4,8 is
Click here to see answer by vleith(2983) About Me 

Question 1000556: If i have a geometric sequence that goes 100,120,160,220... What would the ratio be?
Click here to see answer by MathLover1(20850) About Me 
Question 1000556: If i have a geometric sequence that goes 100,120,160,220... What would the ratio be?
Click here to see answer by ikleyn(52787) About Me 

Question 1000370: nth element of sequences -1,2,-4,8 is
Click here to see answer by Edwin McCravy(20056) About Me 

Question 1000495: 19, 9, 10, 13, 23, ?, 10, 15, 9
Click here to see answer by Edwin McCravy(20056) About Me 

Question 1000760: what is
a_n= 2a_n-1 -1 where a_1 = 2
?
write a recursive definition for the sequence
5, 22, 39, 56
Thank youuu

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

Question 1000794: Find the sum of the first 70 terms of the series: 17+23+29+35+...
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Question 1000800: Find the sum of the first 10 terms of the series: 5+15+45...
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Question 1000797: Find the nth tern a sub n for the sequence: 4,-8,6,-32...
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Question 997593: find the sum S8 for the geometric series 6-1.8+0.54-0.162+...
Click here to see answer by Edwin McCravy(20056) About Me 

Question 1000795: Find the nth term a sub n for the sequence: 2,10,18,26,34
Click here to see answer by fractalier(6550) About Me 

Question 1000792: Express the series: 8+9+10+11+...+25 using the summation notation
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Question 1000816: This is at the end of our chapter where we learned about arithmetic and geometric sequences and the binomial theorem. The question is: Expand the binomial in the difference quotient and simplify. I'm given [f(x+h)-f(x)] divided by h, I'm then given f(x)=x cubed. I don't get how this relates to series, sequences, their sums, or finding the Nth term, if you could explain the connection as well, I would appreciate it so much.
Click here to see answer by josgarithmetic(39617) About Me 
Question 1000816: This is at the end of our chapter where we learned about arithmetic and geometric sequences and the binomial theorem. The question is: Expand the binomial in the difference quotient and simplify. I'm given [f(x+h)-f(x)] divided by h, I'm then given f(x)=x cubed. I don't get how this relates to series, sequences, their sums, or finding the Nth term, if you could explain the connection as well, I would appreciate it so much.
Click here to see answer by KMST(5328) About Me 

Question 1000919: Find the sum of series 1+4+13+40+121 to n terms

Click here to see answer by MathLover1(20850) About Me 

Question 1000972: how can i find the maximum partial sum of a decreasing arithmetic sequence?
Click here to see answer by ikleyn(52787) About Me 

Question 1001008: I need help on these questions as I'm preparing for a unit test. Please help
Is the sequence geometric? If so, identify the common ratio.
256, 64, 16, 4
What is the summation notation for the series?
200+175+150+125+...+(-300)
What is the sum of the arithmetic series?
5
Σ; (3n-2)
n-1
What is the sum of the geometric series? Round to the nearest whole number.
16
Σ; 6(1/4)^n
n-1
Does the infinite series diverge or converge? If it converges what is the sum?
10+2+2/5+2/25+....
what is
a_n= 2a_n-1 -1 where a_1 = 2?
Thank you !!!

Click here to see answer by Alan3354(69443) About Me 

Question 1001038: Does the infinite series diverge or converge? If it converges what is the sum?
10+2+2/5+2/25+....
what is
a_n= 2a_n-1 -1 where a_1 = 2?
Thank you !!!

Click here to see answer by ikleyn(52787) About Me 

Question 1001035: I need help on these questions as I'm preparing for a unit test. Please help
Is the sequence geometric? If so, identify the common ratio.
256, 64, 16, 4

Click here to see answer by ikleyn(52787) About Me 

Question 1001125: Write an equation for the nth term of each arithmatic sequence. -5,-2,1,4,7
Click here to see answer by josgarithmetic(39617) About Me 
Question 1001125: Write an equation for the nth term of each arithmatic sequence. -5,-2,1,4,7
Click here to see answer by MathTherapy(10552) About Me 

Question 1001260: Summation notation help please!!
What is the summation notation for the series?
200+175+150+125+...+(-300)
What is the sum of the arithmetic series?
5
Σ; (3n-2)
n-1
What is the sum of the geometric series? Round to the nearest whole number.
16
Σ; 6(1/4)^n
n-1

Click here to see answer by ikleyn(52787) About Me 

Question 1001264: Summation notation help please!!
What is the summation notation for the series?
200+175+150+125+...+(-300)
What is the sum of the geometric series? Round to the nearest whole number.
16
Σ; 6(1/4)^n
n-1
thank you

Click here to see answer by ikleyn(52787) About Me 

Question 1001270: Evaluate the finite series for the specified number of terms.
1 + 2 + 4 +....;n=5

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

Question 1001271: Does this infinite series converge or diverge? If it converges, state the sum.
2.2 + 2.42 + 2.662...

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

Question 1001269: Use summation notation to write the arithmetic series for the specified number of terms. Then find the sum.
6 + 7.4 + 8.8 +...; n=11
I don't understand. Please help!

Click here to see answer by fractalier(6550) About Me 
Question 1001269: Use summation notation to write the arithmetic series for the specified number of terms. Then find the sum.
6 + 7.4 + 8.8 +...; n=11
I don't understand. Please help!

Click here to see answer by solver91311(24713) About Me 

Question 1001423: Please help me solve the problem
Let Sn(n>=1) be a sequence of sets defined by
S1 = {0}
S2 ={3/2,5/2}
S3={8/3,11/3,14/3}
S4={15/4,19/4,23/4,27/4},.......... then

a) third element in S20 is 439/20
b)third element in S20 is 431/20
c)sum of element in S20 is 589
d) sum of the elements in S20 is 609

[Sn denotes S subscript n eg. S1 denotes S subscript 1]



Which of the above options(a,b,c,d) are correct? {at least two of them must be correct}

Click here to see answer by jim_thompson5910(35256) About Me 

Question 1001540: Find the common difference of the arithmetic sequence.
9, 13, 17, 21, . . .

Click here to see answer by MathLover1(20850) About Me 

Question 1001607: If 16 is added to 9, times a number, the result is 79. Find the number
Click here to see answer by fractalier(6550) 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