Tutors Answer Your Questions about Sequences-and-series (FREE)
Question 1033715: 1. Use what you have learned to find the solutions of the polynomial equation shown below.
x4 + 5x3 ‒ x2 ‒ 50x ‒ 90 = 0 if x2 ‒ 10 is one of the factors.
Be sure to discuss real and complex solutions and how these solutions will affect the graph of the polynomial equation.
2. Use what you have learned in this lesson to determine all of the values for k that would give complex solutions to the equation shown below.
3x2 ‒ 8x + k = 0
Describe how you know your values for k give complex solutions to the equation.
Then, write a quadratic equation using a value of k that will have complex solutions and solve.
Click here to see answer by josgarithmetic(39618)  |
Question 1034107: 8, ?, 64, 125, 216
1,2,9,3,6,3,1,?
1,3,4,7,11, ?
84178, 41788, 17884, 78841, ?
Click here to see answer by addingup(3677)  |
Question 1033911: A game of chance involves rolling an unevenly balanced 4-sided die. The probability that a roll comes up 1 is 0.12, the probability that a roll comes up 1 or 2 is 0.45, and the probability that a roll comes up 2 or 3 is 0.47 . If you win the amount that appears on the die, what is your expected winnings? (Note that the die has 4 sides.)
in dollars
Click here to see answer by robertb(5830)  |
Question 1034059: An airplane climbs 100 feet during the first second after takeoff. In each succeeding second it climbs 100 feet more than it climbed during the previous second. How many seconds does it take for the plane to reach an altitude of
12,000 feet above its takeoff height?
Answer 15 seconds (How?)
Click here to see answer by fractalier(6550)  |
Question 1034408: im not sure if anyone can help with this but even if im pointed in the wright direction ill be further forward.
i have a very old Psion 2 organizer that runs a little program that works in the following way.
i enter a 4 digit number and it outputs a 4 digit number.
what im trying to do is find out how it calculates the outputted number from the number i enter so i can write an app for my phone.
what i have found out so far is it only returns a four digit number using 01234567 .
if i enter 0000 i get 0000
if i enter 0001 i get 1021
if i enter 0002 i get 2042 (1021*2)
if i enter 0003 i get 3063 (1021*3)
if i enter 0004 i get 4004 (1021*4=4048 but because it doesnt use 8 it changes the 8 to a 0)
if i enter 0005 i get 5025 (4004+1021)
if i enter 0006 i get 6046 (5025+1021)
if i enter 0007 i get 7067 (6046+1021)
if i enter 0008 i get 0100 (7067+1021=8088 but because it doesnt use 8 it
changes 8's to 0's)// not sure why i end up with a 1 in that position
if i enter 0009 i get 1121 (no idea how i end up with that)
if i enter 0010 i get 1231
if i enter 0011 i get 0210 (1231-0210)
if i enter 0012 i get 3273 (no idea how i end up with that)
if i enter 0013 i get 2252 (3273-1021)
0020 is 2462
0030 is 3653
0040 is 4044
0050 is 5275
0100 is 3331
9999 is 3063
can anyone see a pattern?.
Click here to see answer by Theo(13342)  |
Question 1034183: You invest $20,000 in a retirement plan. The plan is expected to have an annual return of 12%. Write a rule for the amount of money available at the beginning of the nth year. What is the balance of the account at the beginning of the 20th year?
Click here to see answer by Theo(13342) |
Question 1034183: You invest $20,000 in a retirement plan. The plan is expected to have an annual return of 12%. Write a rule for the amount of money available at the beginning of the nth year. What is the balance of the account at the beginning of the 20th year?
Click here to see answer by robertb(5830) |
Question 1034471: If a stack of n layers of power poles contains four poles in the top layer and each layer contains one more pole than the layer above, find how many layers there are if the stack contains 184 poles. Please help, Im not sure which formula(s) to use.
Click here to see answer by Boreal(15235)  |
Question 1034586: A starting salary for a teacher is $25,000 and there is an annual increase of 3%.
(a) how much will the teacher earn in their 10th year?
(b) how much will the teacher earn in total during a 35 year teaching career?
(c) find the first year in which the teacher earns more than $35,000?
(d) how many years would the teacher have to work in order to earn a total of $1 million?
Click here to see answer by Theo(13342) |
Question 1035275: A) The sum to infinity of a geometric series is 3. When the terms of this progression are squared, a new geometric progression is obtained whose sum to infinity is 1.8. Find the first term and the common ratio of each series.
B) Express the recurring decimal 0.524 in the form p/q, where p and q are integers with no common factor.
Click here to see answer by Theo(13342) |
Question 1035274: The first term of an arithmetic series is (5+3k), where k is a positive integer. The last term is 17(1+k) and the common difference is 2. Find, in terms of k, the number of terms in the series and the sum of the series.
Click here to see answer by stanbon(75887) |
Question 1035433: Identify a possible explicit rule for the nth term of the sequence 1, 1/3, 1/5, 1/7, 1/9, ….
A(subscript)n=1/(2n+1)
A(subscript)n=1/(2n-1)
A(subscript)n=n/(2n-1)
A(subscript)n=n/(2n+1)
I believe you have to take the differences, but it wasnt first differences.
Click here to see answer by Edwin McCravy(20056)  |
Question 1035433: Identify a possible explicit rule for the nth term of the sequence 1, 1/3, 1/5, 1/7, 1/9, ….
A(subscript)n=1/(2n+1)
A(subscript)n=1/(2n-1)
A(subscript)n=n/(2n-1)
A(subscript)n=n/(2n+1)
I believe you have to take the differences, but it wasnt first differences.
Click here to see answer by ikleyn(52788)  |
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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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