Tutors Answer Your Questions about Sequences-and-series (FREE)
Question 1086512: A rocket travels vertically 2500 feet in its first second of flight, and then about 50 feet less each succeeding second.
a) Write a sequence of the vertical distance traveled by the rocket in each of its first 6 seconds.
(Accounting for the 50-foot decrease for each consecutive second, I wrote out "2500, 4950, 7350, 9700, 12000, and 14250"...which was marked INCORRECT.)
b) Is the sequence in part (a) an arithmetic sequence?
(I wrote "NO" because I added 50 less feet for each consecutive second. This again was marked INCORRECT.)
c) What is the general term of the sequence in part (a)?
(Because I was under the impression that this was not an arithmetic sequence, I wrote "DNE", which again was marked INCORRECT).
Where did I go wrong here?
Click here to see answer by ikleyn(52788)   |
Question 1086449: Add 55. Double the result. Subtract 88. Divide by 2. Subtract the original selected number.
The 1st number is 33.
The result is
1
11.
The 2nd number is 55.
The result is
1
11.
The 3rd number is 88.
The result is
1
11.
The 4th number is 1111.
The result is
1
11.
a. Write a conjecture that relates the result of the process to the original number selected.
Click here to see answer by ikleyn(52788) |
Question 1086450: Add 5. Double the result. Subtract 8. Divide by 2. Subtract the original selected number.
The 1st number is 3.
The result is
1
11.
The 2nd number is 5.
The result is
1
11.
The 3rd number is 88.
The result is
1
11.
The 4th number is 1111.
The result is
1
11.
a. Write a conjecture that relates the result of the process to the original number selected.
Click here to see answer by ikleyn(52788) |
Question 1086516: Write the following sum with summation notation: 2 - 12 + 72 - 432 + 2592 - 15552.
The index here is 1. I do notice the pattern of multiplying -6 to get the following integers after 2, but I am having trouble finding f(i).
Click here to see answer by Boreal(15235)  |
Question 1086515: Tommy has a salary of $29000 with a 4% increase after every year on the job.
a) Write a sequence for this teacher's salary for the first 5 years of service.
-Started here with $29000, $30160 ...adding 4% of the previous year to find the next.
b) Find the general term of the sequence in part a. a_n = ??
-Having a tough time writing out general terms.
Click here to see answer by Boreal(15235) |
Question 1086781: An equilateral triangle has a perimeter of 12 cm. By joining the midpoints of its sides with the segments, a second equilateral triangle is formed. This procedure is continued infinitely for each new triangle that is formed. Determine the sum of the perimeters of all triangles, including the original triangle formed. Determine the sum of the perimeters of all triangles Solve each problem
Click here to see answer by ikleyn(52788) |
Question 1086928: Mei packs either 4 or 13 carrot sticks in her lunch each day, depending on how hungry she expects to be. If she makes a list with the number of carrots she packs every day, what kind of sequence will she see?
arithmetic, geometric, both or neither
Click here to see answer by jim_thompson5910(35256) |
Question 1086920: Hi, I am in need of some help regarding my prediction of a number based from a given sequence of numbers. For example 15 14 15 14, by inspection I can expect 15 next, but I am trying to write a computer program to find it. I could simply find the nth term, and find the next number, but what if the common difference isn't static? For example what if the sequence is 15 11 15 10 15 9 15 8 15, I don't understand how to find the next term in this case.
My application of this is for predicting a players input lag, and extrapolate their position, so that their lag doesn't effect other players ability to target the player lagging.
Furthermore, other than predicting their next amount of lag, I would also need to predict their movement, given by x y z coordinates, and velocity, any help with the movement prediction would be appreciated also, but top priority would be predicting their input lag first!
Example of prediction movement could be
Vector calculatePosition(double time, Vector startPosition, Vector velocity, Vector accel = 0) {
return startPosition + (velocity * time) + (0.5 * accel * pow(time, 2));
}
Any help would really go far in helping me, thanks in advance!
Click here to see answer by jim_thompson5910(35256) |
Question 1086943: Dakota is training to be a goalie, and each month she is able to save 2 times as many goals as she was able to save the month before. If you list the number of goals saved each month, what kind of sequence will you see?
arithmetic, geometric, both or neither
Click here to see answer by Alan3354(69443)  |
Question 1087004: Alan saves somewhere between $3 and $10 of his allowance each week, depending on the expenses that come up that week. If you write down the amount saved each week, what kind of sequence will you see?
Arithmetic. Geometric. Both. Or neither which one is correct
Click here to see answer by ahmadfara(1) |
Question 1087031: Kurt's dog eats 3 scoops of dog food each day. If you write down the total number of scoops of food the dog has consumed over time, what kind of sequence will you have?
Arithmetic geometric both neither
which one is correct
Click here to see answer by Alan3354(69443) |
Question 1087032: Kurt's dog eats 3 scoops of dog food each day. If you write down the total number of scoops of food the dog has consumed over time, what kind of sequence will you have?
Arithmetic geometric both neither
which one is correct
Click here to see answer by Alan3354(69443) |
Question 1087034: Can someone other than Alan answer this question please since Alan has taken this question 3x and has not answered the question. Thank you
Kurt's dog eats 3 scoops of dog food each day. If you write down the total number of scoops of food the dog has consumed over time, what kind of sequence will you have?
Arithmetic geometric both neither
which one is correct
Click here to see answer by Alan3354(69443) |
Question 1087034: Can someone other than Alan answer this question please since Alan has taken this question 3x and has not answered the question. Thank you
Kurt's dog eats 3 scoops of dog food each day. If you write down the total number of scoops of food the dog has consumed over time, what kind of sequence will you have?
Arithmetic geometric both neither
which one is correct
Click here to see answer by ikleyn(52788) |
Question 1087033: Kurt's dog eats 3 scoops of dog food each day. If you write down the total number of scoops of food the dog has consumed over time, what kind of sequence will you have?
Arithmetic geometric both neither
which one is correct
Click here to see answer by Alan3354(69443) |
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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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