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 1201935: For positive numbers a, b, and c, if 2ab = 1, 3bc = 2, and 4ca = 3, what is the value of a + b + c ?
(A) 29/12
(B) 9/4
(C) 25/12
(D) 23/12
(E) 7/4
Click here to see answer by math_tutor2020(3817)

Question 1201933: The symbol [x] is defined to be the sum of all the positive even integers less than or equal to x. For example, [7] = 2+4+6=12. Then what is the value of [101]-[97]?
(A) 97
(B) 98
(C) 101
(D) 198
(E) 199
Click here to see answer by ikleyn(52787)

Question 1201932: s= 3 + 3 ^ 2 + 3 ^ 3 +***+3^ z
If s is the sum of the series given above, for which of the following values of n will s be divisible by 10?
Click here to see answer by greenestamps(13200)

Question 1202251: The number of committees consisting of 4 men and 5 women that can be formed from 10 men and 13 women is
Click here to see answer by mananth(16946)

Question 1202251: The number of committees consisting of 4 men and 5 women that can be formed from 10 men and 13 women is
Click here to see answer by math_tutor2020(3817)

Question 1202296: A sum of money is shared among nine people
so that the first gets 75 naira next 150 naira
the next 225 naira,and so on
A.How much money does the ninth person get
B.How much money is shared altogether
Click here to see answer by mananth(16946)

Question 1124153: Given that the first term of an Arithmetical Progression is 7 and its 10th term is twice the second term. (a) calculate the 19th term.(b) sum of 28th terms (c) difference between the 9th and 6th terms
Click here to see answer by mananth(16946)

Question 1202384: What are the next two terms of the sequence: -8; 4; -2
Click here to see answer by Theo(13342)

Question 1202384: What are the next two terms of the sequence: -8; 4; -2
Click here to see answer by ikleyn(52787)

Question 1202411: Which of the following equations represent the product of two consecutive odd
integers that equal 63?
A x(x − 1) = 63
B x(x + 1) = 63
C x(x − 2) = 63
D x(x + 2) = 63
E (x + 9)(x − 7) = 0
F (x + 9)(x + 7) = 0
Click here to see answer by mananth(16946)

Question 1202432: 1. Calculate
2. Calculate
3. Calculate
4. The sum

Click here to see answer by ikleyn(52787)

Question 1202431: a) Find
b) What
c) Find S17
d) The 3rd term

Click here to see answer by ikleyn(52787)

Question 1202440: Calculate the sum of the series 4 + 12 + 36 + ... + 2916.

Click here to see answer by ikleyn(52787)

Question 1202439: Calculate the sum of the series: - 396 - 308 - 220 - 132 - ... + 836.
Click here to see answer by ikleyn(52787)

Question 1202468: Calculate the sum between and including the terms t16 and t53 of an arithmetic sequence with first term 543 and common difference - 12.
Click here to see answer by mananth(16946)

Question 1202472: Find S9 of a geometric series if t1 = 2 and t6 = 486.
Click here to see answer by mananth(16946)

Question 1202469: The 3rd term of a geometric sequence is 36, and the 6th term is 9/2. What is the recursive formula for the sequence?
Click here to see answer by mananth(16946)

Question 1202469: The 3rd term of a geometric sequence is 36, and the 6th term is 9/2. What is the recursive formula for the sequence?
Click here to see answer by ikleyn(52787)

Question 1202469: The 3rd term of a geometric sequence is 36, and the 6th term is 9/2. What is the recursive formula for the sequence?
Click here to see answer by greenestamps(13200)

Question 1202471: What binomial power does the binomial expansion 1/x^4 + 8/x + 24x^2 + 32x^5 + 16x^8 represent? Indicate the binomial base as well as the exponent. Explain how you figured out your answer.
Click here to see answer by ikleyn(52787)

Question 1202470: Find S17 for the series 8 - 4 + 2 - 1+ ...
Click here to see answer by mananth(16946)

Question 1202470: Find S17 for the series 8 - 4 + 2 - 1+ ...
Click here to see answer by ikleyn(52787)

Question 1202481: Find S17 for the series 8 - 4 + 2 - 1+ ...
Click here to see answer by mananth(16946)

Question 1202481: Find S17 for the series 8 - 4 + 2 - 1+ ...
Click here to see answer by ikleyn(52787)

Question 1126165: The purchase value of an office computer is $12,380. Its annual depreciation is $1,910.
what is the value of the computer after 8 years?
Click here to see answer by mananth(16946)

Question 1122506: The nth term of a G.P. is 2x3^n for all n. Find (a) the first term (b) the common ratio of the G.P.
Click here to see answer by mananth(16946)

Question 1202480: The sum of a geometric sequence 2 - 6 + 18 - 54 + ... - tn is - 29 524. Find the number of terms.
Click here to see answer by ikleyn(52787)

Question 1202467: The sum of a geometric sequence 2 - 6 + 18 - 54 + ... - tn is - 29 524. Find the number of terms.
Click here to see answer by ikleyn(52787)

Question 1122507: find the sum of each of the following G.p's:
(a)6,12,24,... to 10 terms
(b)1,-0.5,0.25,0.125... to 20 terms.
Click here to see answer by mananth(16946)

Question 1122507: find the sum of each of the following G.p's:
(a)6,12,24,... to 10 terms
(b)1,-0.5,0.25,0.125... to 20 terms.
Click here to see answer by ikleyn(52787)

Question 1202668: Which term of the series 2187,729,243....is 1/9
Click here to see answer by mananth(16946)

Question 1202668: Which term of the series 2187,729,243....is 1/9
Click here to see answer by Edwin McCravy(20056)

Question 1202667: The first term of an geometric progression is 12 and the fifth term is 55. Determine the 8th term and the 11th term.
Click here to see answer by mananth(16946)

Question 1202785: Justin recently started working for a company that pays him $11.40 per hour. He is expected to work a total of 251 days for 8 hours each.
How much will Justin earn for the year (i.e. gross annual salary)?
Click here to see answer by ikleyn(52787)

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