Tutors Answer Your Questions about Sequences-and-series (FREE)
Question 1172321: The integers 1, 2, 3, ...., 40 are written on white board. An operation is then repeated 39 times. In each repetition any two numbers say a and b currently on white board are erased and new number a + b -1 is written. What will be the number left on white board at the end?
Click here to see answer by ikleyn(52787)   |
Question 1172428:
Geometric series occur naturally in the solution of problems in
finance. A geometric sequence with first term a, common ratio R,
and n terms, is given as follows:
π, ππ
, ππ
^2, β¦ , ππ
^(πβ1)---->(2)
Find the sum of the geometric sequence in (2), denoted by
ππ.
In finance problems, the number n may be the number of months or
years. The number R is the compounding factor given by (1+r),
related to the rate of interest, r. Each finance problem is unique and
applying the geometric series formula upfront may lead to wrong
answers.
Click here to see answer by ikleyn(52787) |
Question 1172427: i hope you can help me to solve this, by using geometric series.
thank you!
A sum of money is deposited into a bank account at the end
of each month for 5 years. The account earns a monthly interest rate
of 1.75%. What is the compounding factor?
Superannuation is a long-term investment plan to help employees
in their retirement where employers make regular contributions to
the employeesβ fund.
Click here to see answer by ikleyn(52787) |
Question 1172909: Which of the following sequence can be the degree sequence of a graph ?
(a) 5 , 3 , 2 , 1
(b) 2 , 2 , 0 , 0
(c) 3 , 3 , 1 , 1
(d) 5 , 4 , 3 , 2
Explain your answer.
Click here to see answer by ikleyn(52787) |
Question 1173191: What is the maximum and minimum amount of a drug remaining in a patient
in the limit (that is, as time tends to infinity) given that the patient takes an 80 milligram dose once a day at the same time each day and the drug has a half life of 22 hours?
Click here to see answer by ikleyn(52787) |
Question 1173191: What is the maximum and minimum amount of a drug remaining in a patient
in the limit (that is, as time tends to infinity) given that the patient takes an 80 milligram dose once a day at the same time each day and the drug has a half life of 22 hours?
Click here to see answer by ewatrrr(24785)  |
Question 1173421: Hi Tutors, I need help with solving a sequence below.
73,74,88,99,108
note that I am aware that the next term is 133 and that is the number I am looking for, however, these numbers are actually decimals and the program I used to solve them doesn't allow decimals. Actual sequence is (73.1771,73.9964,87.9820,99.0045,108.9807) and the actual term I am looking for is 133.2632 which is what I am looking for but I cannot figure out how I got 133.2632.
So I need help with solving the decimal sequence to give me 133.2632 and also the next term after that which is 209 when using the first sequence with no decimal points.
Also to note, I rounded up 2nd and 3rd numbers from 73.9964 to 74 and 87.9820 to 88 respectively and I did get 133 but I did not round off 108.
Thank you
Click here to see answer by greenestamps(13200)  |
Question 1173561: Suppose apples are in the shape of a pyramid. On the top layer, there is 1 apple. On the second layer, there are 1+2 apples. On the third layer, there is 1+2+3 apples. On the fourth layer, there 1+2+3+4 apples. If there are N number of layers, how many apples are there in total?
Click here to see answer by ikleyn(52787) |
Question 1173561: Suppose apples are in the shape of a pyramid. On the top layer, there is 1 apple. On the second layer, there are 1+2 apples. On the third layer, there is 1+2+3 apples. On the fourth layer, there 1+2+3+4 apples. If there are N number of layers, how many apples are there in total?
Click here to see answer by Boreal(15235)  |
Question 1173561: Suppose apples are in the shape of a pyramid. On the top layer, there is 1 apple. On the second layer, there are 1+2 apples. On the third layer, there is 1+2+3 apples. On the fourth layer, there 1+2+3+4 apples. If there are N number of layers, how many apples are there in total?
Click here to see answer by ewatrrr(24785) |
Question 1173561: Suppose apples are in the shape of a pyramid. On the top layer, there is 1 apple. On the second layer, there are 1+2 apples. On the third layer, there is 1+2+3 apples. On the fourth layer, there 1+2+3+4 apples. If there are N number of layers, how many apples are there in total?
Click here to see answer by greenestamps(13200) |
Question 1173524: Fill in the blanks indicated by the question marks to complete the proofs of each, mathematical statement. (in mathematical induction)
a. prove: 8n-3n is divisible by 5
proof: i/we verify the statement for n=1, i.e (1)_____ -3^1, divisible 5
II. assume that the statement is there for some integer n=k
(2)_____ is divisible by 5
III. we need to show that the statement is also true for the next integers n=k+1, i.e. 8k+1=3k+1 is divisible by 5.
consider: 8k+1-3k+1=8k*8-3k*3
=8(8k-3k)- (3)_____ but 8(8k-3k) is divisible by 5 by (4)_____ and the second term (5)_____ is obviously divisible by 5 because of the factor (6)_____.
Thanks for your help.
Click here to see answer by math_helper(2461)  |
Question 1173613: hi sir i got a lottary series question.i am provide some data can you please help me to solve and tell me how this series working and want pattern its series follow the series in assanding order and it is between 1 to 10 here its data-
5 1 6 5 1 2 6 1 3 3 3 1 ? ?
7 2 7 7 4 3 9 8 7 3 4 4 ? ?
0 5 8 9 5 6 0 0 9 9 0 5 ? ?
in three digit data with assanding order and 0 mean 10 as my experiance
what came next please solve this series and tell me how to solve.thank you
Click here to see answer by ikleyn(52787) |
Question 1173612: hi sir i got a lottary series question.i am provide some data can you please help me to solve and tell me how this series working and want pattern its series follow the series in assanding order and it is between 1 to 10 here its data-
5 1 6 5 1 2 6 1 3 3 3 1 ?
7 2 7 7 4 3 9 8 7 3 4 4 ?
0 5 8 9 5 6 0 0 9 9 0 5 ?
in three digit data with assanding order and 0 mean 10 as my experiance
what came next please solve this series and tell me how to solve.thank you
Click here to see answer by ikleyn(52787) |
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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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