Questions on Algebra: Sequences of numbers, series and how to sum them answered by real tutors!

Tutors Answer Your Questions about Sequences-and-series (FREE)

Question 610978: A um contain 30 colored balls. Eight of the balls are purple. 10 of the balls are orange. The remaining balls are all brown. Three of the balls are randomly selected from the Urn. What is the probability that all three balls are brown.
a. 11/203
b. 8/125
c. 5/92
d. 3/61
I think the correct answer is D. Is that correct?
Click here to see answer by ewatrrr(24785)

Question 611105: Which of the following is the next number in the series 3,6,4,9,5,12,6...?
A)7
B)9
C)12
D)15
E)24
Click here to see answer by lynnlo(4176)

Question 611113: What is the next term in the series 1,1,2,3,5,8,13...?
A)18
B)21
C)13
D)9
E)20
Click here to see answer by vleith(2983)

Question 611319: What is the standard deviation of 26, 33, 34, 40, 27?
I think the correct answer is 32. Is that correct?
Click here to see answer by ewatrrr(24785)

Question 611317: Brand A car batteries have a warranty of 60 months. The warranty given by the company depends upon the average life of batteries. The life of the batteries is normally distributed with a mean of 62 months and a standard deviation of 2 months. What percent of the batteries will be working after 64 months.
I got 25% is that correct.
Click here to see answer by scott8148(6628)

Question 611372: Shari has twelve cards, numbered from one to twelve. She randomly draws three cards with replacement. What is the probability that Shari draws an even card and then two odds.
a. 3/8
b. 1/16
c. 1/4
d. 1/8
I think the answer is 3/8. Is that correct?
d
Click here to see answer by solver91311(24713)

Question 611373: Two representatives are chosen from random from a group of 80 students that has 40 boys and 40 girls. What is the probability that both representatives are girls.
a. 20/79
b. 1/4
c. 39/158
d. 39/160
I think the answer is b is that correct?
Click here to see answer by solver91311(24713)

Question 611554: 87 cents/ 30 in = ?/ ft
Click here to see answer by nerdybill(7384)

Question 611740: What is S6 for the arithmetic series 4+4.2+4.4+4.6+4.8+...?
Click here to see answer by rfer(16322)

Question 612087: write the rule for thr nth term of the arithmetic sequence.
1) 5,,14,23,32,41
2)d=-3;a6=30
3)-1,-4,-7,-10,-13... 4) d=5;a5=40

Click here to see answer by Edwin McCravy(20056)

Question 612226: Find the indicated term of each geometric sequence.
a8 for -1/250,-1/50,-1/10
Click here to see answer by stanbon(75887)

Question 612396: find the formula for the partial sum of the first n termsof the following sequence
-2+0+2+4+...+(2n-4)
Click here to see answer by ewatrrr(24785)

Question 612395: It says to write the following arithmetic series in sigma notation...2 problems
5+1+(-3)+(-7)+(-11)....
-3,0,3,6,9,...

Click here to see answer by ewatrrr(24785)

Question 612406: Hello, can someone help me calculate this factorial expression. Thank you.
(60!68!34!)/248!
Click here to see answer by lynnlo(4176)

Question 612406: Hello, can someone help me calculate this factorial expression. Thank you.
(60!68!34!)/248!
Click here to see answer by Alan3354(69443)

Question 612242: find the sum of each arithmetic series
-4+1+6+...+91
13+20+27+...+272
89+86+83+...+20
8+11+14+...+23
Click here to see answer by ewatrrr(24785)

Question 612432: Determine whether or not the following sequences are arithmetic s.If yes state the common difference.
5,-5,-15,-25,-35,...
1,2,4,7,11,...
Click here to see answer by Edwin McCravy(20056)

Question 612425: write a rule for the nth term of the arithmetic sequence
1. a11=29; a20=101
2.a6=-31; a14=-135
Click here to see answer by Edwin McCravy(20056)

Question 612565: What is the fourth term of the sequence whose first term is a1=2 and whose nth term is an=4a(n-1)-11
My problem here is that i can't figure out how to use the nth term, what do you do with the info given?
Click here to see answer by jim_thompson5910(35256)

Question 612622: 3,10,32,100,i need series
Click here to see answer by dfrazzetto(283)

Question 612710: What is the sum of series below?
4
Σ(n^2+1)
n=0
I know that the 4 means there's only 4 terms, but i can't find anywhere what the n=0 means
Click here to see answer by scott8148(6628)

Question 612891: find the 8th term in the expansion (2x-1)^14

Click here to see answer by Alan3354(69443)

Question 613013: write a rulefor the nth termof the arithmetic sequence..
problem #1...a11=29;a20=101
that is a 11
problem #2 a6=-31;a14=-135

Thank you

Click here to see answer by ewatrrr(24785)

Question 613049: write a rule for thrnth term of the arithmetic sequence....
a6=-31,a14=-135
Click here to see answer by scott8148(6628)

Question 613268: Find the sum of the first four terms of the geometric sequence that starts with 3 and has r = 8.
Find the sum of the following infinite geometric series, if it exists.
4 + 3 + 2.25 + 1.6875 +�
Click here to see answer by ewatrrr(24785)

Question 613286: find the closed form of the sequence
2,5,8,11,14.
Click here to see answer by ewatrrr(24785)

Question 613547: Lisa earned $17000 her first year at city hall. After each year she received a 6% raise. Find her total earnings for her first five years on the job.
I have the correct answer by taking the long route, but I know there is a shorter way.
Click here to see answer by ewatrrr(24785)

Question 613612: Which of the following is equal to a^(bc) for all values of a, b, and c?

A. ab^c
B. a^(b + c)
C.a^ba^c
D.(a^b)^c
E.a^b(c)

Click here to see answer by ewatrrr(24785)

Question 614089: Find the sum of the following infinite geometric series, if it exists.
1.02 + 2.04 + 4.08 + 8.16 +�
Click here to see answer by ewatrrr(24785)

Question 614085: Find a decimal approx for S (sub 15) in the geometric sequence with first term 83 and common ratio 1.07
Click here to see answer by ewatrrr(24785)

Question 614130: What is the sum of the finite arithmetic series?
Click here to see answer by ewatrrr(24785)

Question 614015: find the 27th term in the binomial expansion of (2x+1)^30
Click here to see answer by ewatrrr(24785)

Question 614274: (.24/.4)(100/48)x = 1 then x = what

Click here to see answer by Alan3354(69443)

Question 614379: Two numbers are such that the ratio between them ir 3:5.if each is increased by 10,the ratio between the new numbers so formed is 5:7.find the original numbers.
Click here to see answer by ankor@dixie-net.com(22740)

Question 614717: What is a recursive and an explicit formula for the sequence: 2/3, 4/9, 16/81 ...
Click here to see answer by Edwin McCravy(20056)

Question 614773: 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 equals 24units,find whole piece of work

Click here to see answer by richwmiller(17219)

Question 614945: Find the sum of geometric series 7+7+7+...9 terms?
Click here to see answer by stanbon(75887)

Question 614946: Find the sum of geometric series 7+7+7+...9 terms?
Click here to see answer by rfer(16322)

Question 614863: the sequence is defined recursively. Write the first five terms.
a1=2, a2=5; an=an-2 - 3an-1.
Click here to see answer by ashipm01(26)

Question 614275: ((1/x)+(1/x^2))/(1/x^3)
Click here to see answer by asuar010(338)

Question 615227: what is the sigma notation of the following series?
5,10,20,40,80................
Click here to see answer by jim_thompson5910(35256)

Question 615325: Two cards are drawn from a standard deck of cards. What is the probability that both cards are diamonds.
I got 1/13. Is that correct?
Click here to see answer by Alan3354(69443)

Question 615322: Which of the following are the first three iterates of the function f(x)=3x+2 for the initial value of x^0=-2
a. -2,-4,-10
b. 4, -10,28
c. -4, -10, -28
d. -4, 10, -28
I think the answer is (C). Is that correct?
Click here to see answer by jim_thompson5910(35256)

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