Tutors Answer Your Questions about Sequences-and-series (FREE)
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!
Click here to see answer by solver91311(24713)  |
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) |
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) |
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)  |
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)  |
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) |
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)  |
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)  |
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)  |
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)  |
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) |
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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
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