Tutors Answer Your Questions about Sequences-and-series (FREE)
Question 912594: A bike rental company rented out 6 bikes in its first month.
The number of bikes it rented each month increased by three times the previous month’s rentals.
What was the total number of bikes the company rented out for the first 6 months?
Click here to see answer by ewatrrr(24785)   |
Question 913235: A boy has 231 marbles. he arranges them in rows so that each row contains on e marble less than the preceding. the last row consist of one marble only, which forms the vertex of a triangle. how many marbles are there in the base of the triangle?
Click here to see answer by mananth(16946)  |
Question 913235: A boy has 231 marbles. he arranges them in rows so that each row contains on e marble less than the preceding. the last row consist of one marble only, which forms the vertex of a triangle. how many marbles are there in the base of the triangle?
Click here to see answer by richwmiller(17219)  |
Question 913702: You have a headache and decide to take a 200-mg over-the-counter headache medicine tablet to relieve it. The ibuprofen in the pill is absorbed into your system and stays there until it is metabolized and filtered out by the liver and kidneys. Every 4 hours, your body removes 67% of the ibuprofen that was in your body at the beginning of that 4-hour time period.
Write a recursive system that represents the amount of ibuprofen in your body at any time. How much of the ibuprofen will have remained in your system 24 hours after taki the 200-mg tablet?
Suppose that the tablet contained 250 mg instead of 200. How much would be in your body after 24 hours?
Suppose that your kidneys filter only 50% of the ibuprofen in 4 hours. If you take a 200-mg tablet, how much would you have in your body after 24 hours?
Write a sentence to interpret the following recursive systems in the context of this problem. Find how much ibuprofen remains after 24 hours. The domain of Dn is 1, 2, 3, . . .
D0 = 300, Dn=Dn-1 - 0.8(Dn-1)
D0 = 150, Dn = Dn-1 - 0.2(Dn-1)
D0 = 500, Dn = 0.2(Dn-1)
Click here to see answer by ewatrrr(24785) |
Question 914138: Respected Sir/Madam,
Please help me how to write a question related to matrices. If you quote an example for me that would be very helpful for me to ask questions with respect to determinants and Matrices.
I would be very grateful to you.
Thanks.
Click here to see answer by ewatrrr(24785) |
Question 914860: Please how do I solve the following problem: Three men do a piece of work, the first does 7/15, the second does 5/6 of the remainder while the third does the rest. If the rest done by the third person equal 24units, find the whole piece of work.
Thank you so much
Click here to see answer by mananth(16946) |
Question 916667: I just need to make sure I'm doing these right before I spend hours doing them wrong ;-). Can someone please check my work?
I don't know how to make the Sigma sign, but the upper limit=8; lower limit=0; function 3*2^j
Here's how I did it:
= (3*2^0) + (3*2^1) + (3*2^2)+ (3*2^3) + (3*2^4) + (3*2^5) + (3*2^6) + (3*2^7) + (3*2^8)
= (3*1) + (3*2) + (3*4) + (3*8) + (3*16) + (3*32) + (3*64) + (3*128) + (3*256)
= 3 + 6 + 12 + 24 + 48 + 96 +192 + 384 + 768
= 1533
Is this right? And/or is there an easier way to do it?
Click here to see answer by ewatrrr(24785) |
Question 916883: I'm having difficulty understanding double summations. Is there a good explanation you can recommend?
Here's one of the problems:
(first summation) upper limit=2, lower limit i=0
(second summation) upper limit=3, lower limit j=0
function: 2i+3j
Do I just do them separately and then add? Confused...
Click here to see answer by solver91311(24713)  |
Question 917697: Which one of the following is a geometric sequence?
A. 2, –3, 9⁄2, −18⁄4
B. 0,1,2,3,...
C. 8,4,2,1,1⁄2,1⁄4,... D. –7,10,23,36,...
Click here to see answer by KMST(5328)  |
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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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