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

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Question 1059523: what is the value of (53634)^2-(5363)^2 ?
Click here to see answer by solver91311(24713) About Me 

Question 1059503: What does the n equal for this
Pattern 3, 6, 12, 24,48

Click here to see answer by josgarithmetic(39618) About Me 

Question 1059570: Raise the product of 38 and 6 to the power of the sum of 3 and 4.
Which of the following expressions matches the sentence above?
(38 ÷ 6)3 + 4
(38 × 6)(3 + 4)
(38 × 6)(3 × 4)
(38 ÷ 6)(3 + 4)

Click here to see answer by Alan3354(69443) About Me 

Question 1059603: Express the sum using summation notation. 15+13+11+...+(-43)
Click here to see answer by Boreal(15235) About Me 
Question 1059603: Express the sum using summation notation. 15+13+11+...+(-43)
Click here to see answer by Edwin McCravy(20056) About Me 

Question 1059602: The sequence is defined recursively. Write the first five terms.
a%5B1%5D=-3; a%5Bn%5D=a%5Bn-1%5D%2An%5E2

Click here to see answer by Edwin McCravy(20056) About Me 

Question 1059610: Find the sum. 5+10+15+...+430
a.) 18,275
b.) 18,705
c.) 37845/2
d.) 18,490

Click here to see answer by ikleyn(52788) About Me 

Question 1059609: Find the sum. 5+10+15+...+430
a.) 18,275
b.) 18,705
c.) 37845/2
d.) 18,490

Click here to see answer by ikleyn(52788) About Me 
Question 1059609: Find the sum. 5+10+15+...+430
a.) 18,275
b.) 18,705
c.) 37845/2
d.) 18,490

Click here to see answer by Edwin McCravy(20056) About Me 

Question 1059614: A local civic theater has 22 seats in the first row and 21 rows in all. Each successive row contains 3 additional seats. How many seats are in the civic theater?
a.) 1092
b.) 1010
c.) 1070
d.) 790

Click here to see answer by Boreal(15235) About Me 

Question 1059617: Find the sum. 7+14+21+...+406
Click here to see answer by ikleyn(52788) About Me 

Question 1059616: Find the sum. 2+4+6+...+428
Click here to see answer by ikleyn(52788) About Me 

Question 1059612: Find the sum. 2+4+6+...+428
a.) 46225
b.) 46010
c.) 45582
d.) 45796

Click here to see answer by ikleyn(52788) About Me 

Question 1059619: Find the first term, the common difference, and give a recursive formula do arithmetic sequence. 6th term is -10; 15 term is -46
Click here to see answer by Boreal(15235) About Me 

Question 1059666: Find the sum. 1+2+3+...+103
A. 10,712
B. 5253
C. 5356
D. 10,609

Click here to see answer by Fombitz(32388) About Me 

Question 1059615: A theater has 40 rows with 30 seats in the first row, 33 in the second row, 36 in the third row, and so forth. How many seats are in the theater?
a.) 3600
b.) 7080
c.) 7200
d.) 3540

Click here to see answer by Fombitz(32388) About Me 

Question 1059601: Express the sum using summation notation. 15+13+11+...+(-43)
Click here to see answer by Fombitz(32388) About Me 

Question 1059672: Find the nth term and the indicated term of the arithmetic sequence {an} whose initial term, a, and common difference, d, are given.
a1=0; d=1/3
an=?; a20=?
A. an=1/3(n+1);a20=7
B. an=3(n-1); a20= 19
C. an=1/3n; a20=20/3
D. an=1/3(n-1);a20=19/3

Click here to see answer by Fombitz(32388) About Me 
Question 1059672: Find the nth term and the indicated term of the arithmetic sequence {an} whose initial term, a, and common difference, d, are given.
a1=0; d=1/3
an=?; a20=?
A. an=1/3(n+1);a20=7
B. an=3(n-1); a20= 19
C. an=1/3n; a20=20/3
D. an=1/3(n-1);a20=19/3

Click here to see answer by ikleyn(52788) About Me 

Question 1059748: Express the sum using summation notation.
1/4+2/5+1/2+...+11/14

Click here to see answer by Edwin McCravy(20056) About Me 

Question 1059746: The sequence is defined recursively. Write the first four terms.
a1=2;an=an-1/n

Click here to see answer by Fombitz(32388) About Me 

Question 1059754: Find the sum of the first 89 positive integers.
A. 4003
B. 4007
C. 40,005
D. 4005

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Question 1059755: Express the sum using summation notation.
4+4^2/2+4^3/3+...+4^n/n

Click here to see answer by Fombitz(32388) About Me 

Question 1059608: Find the sum.
2+4+6+...+428
a.) 46,225
b.) 46,010
c.) 45,582
d.) 45,796

Click here to see answer by Fombitz(32388) About Me 

Question 1059586: The system is defined recursively. Write the first four terms.
a1=-5;an=n-an-1

Click here to see answer by jim_thompson5910(35256) About Me 

Question 1060114: please help me know what are the first six terms of this sequence
An= (An-1)2

Click here to see answer by jim_thompson5910(35256) About Me 
Question 1060114: please help me know what are the first six terms of this sequence
An= (An-1)2

Click here to see answer by ikleyn(52788) About Me 

Question 1060137: what two numbers whose product is minus−72 and whose sum is 21. These numbers will be the constants in the binomial factors.
Click here to see answer by math_helper(2461) About Me 

Question 1060135: Jane has a starting salary of ksh 5000 per month with annual increments of ksh 350 per month.For how many years will her total earnings be more than ksh 265750?

Click here to see answer by jorel555(1290) About Me 

Question 1060219: What is the next two terms in each number pattern 1, 1.4, 1.8, 2.2
Click here to see answer by ikleyn(52788) About Me 

Question 1060261: As Carlos improves his algebra skills, he takes 0.6 times as long to complete each homework assignment as he took to complete the preceding assignment. If it took him 75 minutes to complete his first assignment, find how long it took him to complete the fifth assignment. Find the total time he took to complete his first five homework assignments (Round to the nearest minute.)
A. 10 min; 173 min
B. 10 min; 104 min
C. 6 min; 104 min
D. 6 min; 173 min

Click here to see answer by josmiceli(19441) About Me 

Question 1060294: `` please help me know what are the first six terms of this sequence
matrix%281%2C3%2CA%5Bn%5D=%28A%5Bn-1%5D%29%5E2%2C%22%2C%22%2CA%5B0%5D=2%29

Click here to see answer by Edwin McCravy(20056) About Me 

Question 1060357: Is 16, -8, 4, -2,... arithmetic?
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Question 1060357: Is 16, -8, 4, -2,... arithmetic?
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Question 1060460: What is the 7th term of the sequence?
a nth term = 5

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Question 1060705: long division: (x^3-3x^2+2x-8)/(x^2+4)
and find the 9th term of:
(x^2-2)^9
I need help i'm completely confused on long division and terms. I don't understand the formulas. Can you help?

Click here to see answer by josgarithmetic(39618) About Me 
Question 1060705: long division: (x^3-3x^2+2x-8)/(x^2+4)
and find the 9th term of:
(x^2-2)^9
I need help i'm completely confused on long division and terms. I don't understand the formulas. Can you help?

Click here to see answer by MathTherapy(10552) About Me 

Question 1060844: I would like to know what formula can I use to solve the nth term of this particular sequence. 5, 12, 25, 50, 93
Click here to see answer by Edwin McCravy(20056) About Me 
Question 1060844: I would like to know what formula can I use to solve the nth term of this particular sequence. 5, 12, 25, 50, 93
Click here to see answer by rothauserc(4718) About Me 

Question 1060957: Find the sum of the geometric series 2+6+18...+1536
Click here to see answer by ikleyn(52788) About Me 

Question 1060992: Describe the pattern and find the next two terms of each sequence ; 6, -36, 216, -1296, 7776
Click here to see answer by rothauserc(4718) About Me 

Question 1061037: choose the correct answer for the term marked by the symple (?).
1. 37,511,713,?

2. 6,13,? ,33
3. ?,7,26,63
4. 4,6,8,9,?

Click here to see answer by ikleyn(52788) About Me 

Question 1061036: choose the correct answer for the term marked by the symple (?).
37,511,713,?

Click here to see answer by ikleyn(52788) About Me 

Question 1061603: what comes next 3, -6, 12, 4, 20
Click here to see answer by ikleyn(52788) About Me 

Question 1061698: Hi,
How do you sum a series like this;
1/1, 1/2, 1/3, 1/4, etc.
Thanks
Raz

Click here to see answer by rfer(16322) About Me 

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