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 1015955: 102 is the product of 6 ans Gorans age
Click here to see answer by fractalier(6550)

Question 1015984: Two years ago a woman was 4 times as old as her daughter. Three years from now the mother will be only three times as old as her daughter. How old are each of them now?
Click here to see answer by macston(5194)

Question 1016091: Si el termino an= a. Encuentra la sucesi�n si el primer t�rmino es 10
3. -2
n-1
Click here to see answer by Theo(13342)

Question 1016116: the three digit number 2m3 is added to the number 326 to give the three digit.number 5n9,which is divisable by 9. find m+n
Click here to see answer by FrankM(1040)

Question 1016116: the three digit number 2m3 is added to the number 326 to give the three digit.number 5n9,which is divisable by 9. find m+n
Click here to see answer by ankor@dixie-net.com(22740)

Question 1016133: Infinite geometric sequence t1 = - 5 and t5 = -40 if the last term is -640 how many terms are in the sequence
Click here to see answer by ikleyn(52787)

Question 1016208: if 5,x,y,40 are in g.p find x and y
Click here to see answer by Alan3354(69443)

Question 1016208: if 5,x,y,40 are in g.p find x and y
Click here to see answer by fractalier(6550)

Question 1016235: What is next after 1/9 1/3 5/9
Click here to see answer by macston(5194)

Question 1016426: Find the sum of the infinite series
315+189+113.4+68.04+.....
Click here to see answer by fractalier(6550)

Question 1016449: the sum of two numbers is 44 and their product is 483 what are the numbers
Click here to see answer by fractalier(6550)

Question 1016508: This sequence is defined recursively
m1=13 mn=1/2(mn_1-1)
write out the first five terms of this sequence
Click here to see answer by robertb(5830)

Question 1016403: the 4th term of an A.P is 15 and the 9th term is 35. Find the fifteenth term?
Click here to see answer by ikleyn(52787)

Question 1016403: the 4th term of an A.P is 15 and the 9th term is 35. Find the fifteenth term?
Click here to see answer by MathTherapy(10552)

Question 1016837: How do I find a1 for the geometric series Sn= 31.5 an= -4 r=-6?

Click here to see answer by robertb(5830)

Question 1016789: Keeping M(x(= 2x+1 find the difference quotient
M(x+h)- M(x)/ h
Click here to see answer by Alan3354(69443)

Question 1017030: Use the following function to find f(8) and f(0)
f(x)=5x-2
Click here to see answer by macston(5194)

Question 1017020:
Click here to see answer by JulietG(1812)

Question 1016990: an infinite geometric series with second term -8/9 and sum 2. what is the first term?
Click here to see answer by ikleyn(52787)

Question 1017019: I am at a loss on how to do proofs for this class. Here is the problem:
Let Σ = { 0, 1, #} and for a string w  {0, 1}*, let bin(w) be the integer that w represents as a binary number. Prove (using the pumping lemma for regular languages) that L = {x # y | x, y  {0, 1}*, and
y = 0 k , where k = bin(x) } is not regular
If someone can walk me through the steps, I am willing to hire them via PayPal. Thank you.

Click here to see answer by richard1234(7193)

Question 1017338: Find sum of first 100 terms of an arithemetic
sequence with 15th term of 86 and first term of 2

Click here to see answer by Edwin McCravy(20056)

Question 1017383: the first three terms of a geometric sequence are: T1:T2:T3. if T2=T1+4 and T3=T2+9, determine the value of T1:T2:T3
Click here to see answer by fractalier(6550)

Question 1017509: What is the next in sequnce? Also give reasons
12,25,59,90,....?
A 1
B 25
C 47
D 88
E none

Click here to see answer by ikleyn(52787)

Question 1017558: What is the similarity of numbers 85,17,19, 4 and 2?
(My e-mail address; jmawejje@idi.co.ug)
Click here to see answer by Alan3354(69443)

Question 1017638: find the sum up to infinity. 1-1�3+1�9+....
Click here to see answer by fractalier(6550)

Question 1017610: Guess the rule.
2-4-6 satisfies the rule
2-4-5 does not
2-5-5 does
3-4-5 does not
3-6-6 does
4-5-6 does not
4-5-7 does not
4-5-9 does
Click here to see answer by Edwin McCravy(20056)

Question 1017771: what is the rule for 12, 40, 90, 168, 280, 432
Click here to see answer by Edwin McCravy(20056)

Question 1017801: find the three numbers in an arithmetic progression whose sum is 48 and the sum of their squares is 800
Click here to see answer by ikleyn(52787)

Question 1017800: find the third number in an arithmetic progression whose sum is 48 and the sum of their squares is 800
Click here to see answer by ikleyn(52787)

Question 1017793: A sequence {mn} is recursively defined as
m1=2 mn+1= 3/5-mn
Write the first four terms of this sequence
Click here to see answer by Theo(13342)

Question 1017941: Is -96,-48,-24,-12 is a arithmetic,geometric,or neither
Click here to see answer by richard1234(7193)

Question 1018029: Use inductive reasoning
5, -20, 80, -320, _____, _____, _______
Click here to see answer by ikleyn(52787)

Question 1018117: How do I insert 10 number sequences between 27 and 300?
Click here to see answer by ikleyn(52787)

Question 1018203: Find the value of k if 5,k,11are in ap
Click here to see answer by ikleyn(52787)

Question 1018255: The first three terms of a geometric sequence are as follows.
-2,8,-32
Find the next two terms of this sequence.
Give exact values (not decimal approximations).
Click here to see answer by ikleyn(52787)

Question 1018248: A sequence of numbers begins with the numbers -10,20,30,..., and each term afterward is the product of the preceding three terms.How many of the first 101 terms of this sequence are positive?
Click here to see answer by richard1234(7193)

Question 1017826: ((64x^3y^2)^-1/6)/(8y^4x^5)/6z^3/(27yx^3z^-4/3)^1/3)^-4
Click here to see answer by Edwin McCravy(20056)

Question 1012640: Determine the first 5 iterates of f(x)=1.2x (1-x) for x0=0.1
Click here to see answer by Edwin McCravy(20056)

Question 1017792: A sequence {m_n} is recursively defined as
m₁=2, m_n+1=3/5-m_n
Click here to see answer by Edwin McCravy(20056)

Question 1018397: list the first five terms of the arithmetic sequence.
A1= -3 ,An+1=An+6
Click here to see answer by stanbon(75887)

Question 1018377: How many terms in the series 19+16+13+... Must be added to a sum of 44?
Click here to see answer by Edwin McCravy(20056)

Question 1017346: what is the formular for finding all these numbers 85,17,19,4,2
Click here to see answer by Edwin McCravy(20056)

Question 1018369: Look at these 3 sequences along with possible answers
for the next term.
I am having the hardest time solving these patterns.
What do you suggest?
1. 2,7,26,101,400? Answers; 1595, 800, 695, 1840
2*4-1 = 8-1 = 7
7*4-2 = 28-2 = 26
26*4-3 = 104-3 = 101
101*4-4 = 404-4 = 400
400*4-5 = 1600-5 = 1595
2. 7, 21, 8, 72, 9? Answers; 81, 243, 123, 136

3. 7, 16, 8, 27, 9? Answers; 27, 10, 40, 37
Please help

Click here to see answer by Edwin McCravy(20056)

Question 1017122: the answer of a sum is given. write the sum that was asked in sigma notation
8191.5 = 3/2(4^n-1)
__________
3
Click here to see answer by Edwin McCravy(20056)

Question 1018517: x=?
x=3, 2x+1, 5x=2
Click here to see answer by Alan3354(69443)

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