Tutors Answer Your Questions about Sequences-and-series (FREE)
Question 1104433: Consider a geometric sequence where the first term is 768 and the second term is 576.
Find the least value of n such that the nth term of the sequence is less than 7
Do we do 576-768 to find r, then use an equation to find the nth term?
Click here to see answer by ikleyn(52787)   |
Question 1104451: A geometric sequence has a first term of 768 and the second term is 576.
I need to find the LEAST value of n such that the nth term of the sequence is less than 7.
I found that r=0.75?
Do I use the formula ar^n-1?
Click here to see answer by ikleyn(52787) |
Question 1104573: I have one last question on my homework and I can’t seem to figure it out.
I’ll send the full question and show you what I did throughout.
9. The first two terms of an infinite geometric sequence, in order, are 2log(sub2)x, log(sub2)x, where x > 0.
a. Find r.
For this, I did log(sub2)x/2log(sub2)x = 1/2
b. Show that the sum of an infinite sequence is 4log(sub2)x.
I used a1/(1-r) which was 2log(sub2)x/(1-1/2) = 4log(sub2)x
c. The first three terms of an arithmetic sequence, in order, are log(sub2)x, log(sub2)x/2,log(sub2)x/4
Find d, giving your answer as an integer.
(All the ones below are going to be log(sub2), but I’ll fight them as log so it won’t be as messy.
Logx/2=logx-log2=logx-1
Logx/4=logx-log4=logx-2
D=-2
d. Let S(sub12) be the sum of the first 12 terms of the arithmetic sequence. Show that S(sub12)=12log(sub2)x-66.
(I did this part but it’s a lot and would take a long time to type out)
e. THE PART I NEED HELP ON, :)
given that S(sub12) is equal to half the sum of the infinite geometric sequence, find x, giving your answer in the form 2^p, where p has the domain of Q.
Click here to see answer by greenestamps(13200)  |
Question 1104573: I have one last question on my homework and I can’t seem to figure it out.
I’ll send the full question and show you what I did throughout.
9. The first two terms of an infinite geometric sequence, in order, are 2log(sub2)x, log(sub2)x, where x > 0.
a. Find r.
For this, I did log(sub2)x/2log(sub2)x = 1/2
b. Show that the sum of an infinite sequence is 4log(sub2)x.
I used a1/(1-r) which was 2log(sub2)x/(1-1/2) = 4log(sub2)x
c. The first three terms of an arithmetic sequence, in order, are log(sub2)x, log(sub2)x/2,log(sub2)x/4
Find d, giving your answer as an integer.
(All the ones below are going to be log(sub2), but I’ll fight them as log so it won’t be as messy.
Logx/2=logx-log2=logx-1
Logx/4=logx-log4=logx-2
D=-2
d. Let S(sub12) be the sum of the first 12 terms of the arithmetic sequence. Show that S(sub12)=12log(sub2)x-66.
(I did this part but it’s a lot and would take a long time to type out)
e. THE PART I NEED HELP ON, :)
given that S(sub12) is equal to half the sum of the infinite geometric sequence, find x, giving your answer in the form 2^p, where p has the domain of Q.
Click here to see answer by Theo(13342)  |
Question 1104573: I have one last question on my homework and I can’t seem to figure it out.
I’ll send the full question and show you what I did throughout.
9. The first two terms of an infinite geometric sequence, in order, are 2log(sub2)x, log(sub2)x, where x > 0.
a. Find r.
For this, I did log(sub2)x/2log(sub2)x = 1/2
b. Show that the sum of an infinite sequence is 4log(sub2)x.
I used a1/(1-r) which was 2log(sub2)x/(1-1/2) = 4log(sub2)x
c. The first three terms of an arithmetic sequence, in order, are log(sub2)x, log(sub2)x/2,log(sub2)x/4
Find d, giving your answer as an integer.
(All the ones below are going to be log(sub2), but I’ll fight them as log so it won’t be as messy.
Logx/2=logx-log2=logx-1
Logx/4=logx-log4=logx-2
D=-2
d. Let S(sub12) be the sum of the first 12 terms of the arithmetic sequence. Show that S(sub12)=12log(sub2)x-66.
(I did this part but it’s a lot and would take a long time to type out)
e. THE PART I NEED HELP ON, :)
given that S(sub12) is equal to half the sum of the infinite geometric sequence, find x, giving your answer in the form 2^p, where p has the domain of Q.
Click here to see answer by apshu(1) |
Question 1104853: Hi! I was asked to find the standard deviation for the numbers 5,7,9,14,8,5. My answer was 3.65. The textbook's answer was 3. If rounding was supposed to happen, then why wasn't it rounded up to 4? Or was I simply off? Thanks for taking the time to answer me!
Click here to see answer by greenestamps(13200) |
Question 1104887: Find the question mark in each sequence:
1. 7, 16, 8, 27, 9, ?
2. 2, 7, 26, 101, 400, ?
3. 7, 21, 8, 72, 9, ?
Click here to see answer by richwmiller(17219)  |
Question 1104887: Find the question mark in each sequence:
1. 7, 16, 8, 27, 9, ?
2. 2, 7, 26, 101, 400, ?
3. 7, 21, 8, 72, 9, ?
Click here to see answer by greenestamps(13200) |
Question 1104887: Find the question mark in each sequence:
1. 7, 16, 8, 27, 9, ?
2. 2, 7, 26, 101, 400, ?
3. 7, 21, 8, 72, 9, ?
Click here to see answer by josgarithmetic(39617) |
Question 1105091: ( This might seem long but I tried to show what I did, and where I'm lost at.)
Dante is making a necklace with 18 rows of tiny beads in which the number of beads per row is given by the series 3+10+17+24+...
a). If you were to write this series in summation notation, give...
i. the lower limit of the sum
ii. the upper limit of the sum
iii. the explicit formula of the sum
b). Find the total number of beads in the necklace. Explain your method for finding the total number of beads.
Me:
I tried to get this one ( Σ to answer for this question.) but I'm lost really, I do know that...
a.i.
18
Σ
n+7
and that's kinda it. I'm not really good when it comes to these types of math, but I want to get better at it. Could you please explain it to me? Thanks in advance! ^>^
Click here to see answer by Boreal(15235)  |
Question 1105502: ``48, 94, 103, 245, 442, 790,...? whats the next number'' answers can either be 1232, 1674, 1129, 1477, driving me crazy i dont think its any of the answers
Click here to see answer by ikleyn(52787) |
Question 1105502: ``48, 94, 103, 245, 442, 790,...? whats the next number'' answers can either be 1232, 1674, 1129, 1477, driving me crazy i dont think its any of the answers
Click here to see answer by greenestamps(13200) |
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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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