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 292316: How do I get this number?
I am a three-digit even number.
I am made up of three different numerals.
I am divisible by eleven.
What number am I?
Click here to see answer by Edwin McCravy(20056)

Question 292465: if the sequences starts out 1, 4, 8, 13, 19 what is the 450th number in the sequence I know that from the first to the second number is 3 then four to eight is four and it increases by one more every number but dont know how to find the 450th number
Click here to see answer by richwmiller(17219)

Question 292460: what day of the week will it be 1000 days from today. I know that you use the number of days in the week somehow but not sure exactly how to do it.
Click here to see answer by ankor@dixie-net.com(22740)

Question 292655: Write the series using summation notation.
15 + 1 + (-13) + (-27)
Click here to see answer by Edwin McCravy(20056)

Question 292786: A thermopane window is constructed with 2 parallel pieces of glass, each of which reflects half of the sunlight that hits it from either side. The other half of the sunlight passes through the pane. What percent of incoming sunlight passes through both panes?
Click here to see answer by richwmiller(17219)

Question 292929: Find the value of this product of 98 numbers
(1 - 2/3) (1 - 2/4)(1 - 2/5).....(1 - 2/98) (1 - 2/99)(1 - 2/100)
a 1/10 b 98/100 c 1/6 d 1/582120 e 1/4950

Click here to see answer by jim_thompson5910(35256)

Question 293170: i wanted to find the next number in the series:
5,10,30,286
and the formula for the nth number in the series.
Click here to see answer by Edwin McCravy(20056)

Question 293170: i wanted to find the next number in the series:
5,10,30,286
and the formula for the nth number in the series.
Click here to see answer by richwmiller(17219)

Question 293551: What is the summation notation for the series 1 + 0.1 + 0.01 + 0.001?
Click here to see answer by Edwin McCravy(20056)

Question 293549: What is the rule for the nth term for the sequence 1, 10, 100, 1000...?
Click here to see answer by scott8148(6628)

Question 294166: 16, �4, 1, �14.... What is the next term in the geometric sequence?
Click here to see answer by jim_thompson5910(35256)

Question 294170: find the tenth term in each sequence
a(n)=a(n-1)+n ; a(1)=8
Click here to see answer by Edwin McCravy(20056)

Question 294125: Please find the arithmetic sum of the first 100 terms of the series 4+7+10+13+...
Click here to see answer by scott8148(6628)

Question 294402: What are the missing terms of the arithmetic sequence -8, , , 3?
Click here to see answer by Fombitz(32388)

Question 294403: What is Sn for the arithmetic series with d = -4, an = 27, and n = 9?
a. 360
b. 387
c. 418
d. 451
Click here to see answer by Fombitz(32388)

Question 294638: Please help me solve this equation. The question is find two consecutive odd integers such that the sum of their reciprocals is 12/35.
Click here to see answer by scott8148(6628)

Question 294706: How to figure out What numbers come next in the series, 3-6,7-14?
Click here to see answer by richwmiller(17219)

Question 295126: A section of a stadium has 24 seats in the first row, 26 seats in the second row, increasing by 2 seats each row for a total of 33 rows. How many seats are in this section of the stadium.
-I can't seem to get this one right.
Click here to see answer by edjones(8007)

Question 295484: How would you write the recursive rules for the following sequences:
1. 3, 12, 48, 192, 768,...

Click here to see answer by richwmiller(17219)

Question 295484: How would you write the recursive rules for the following sequences:
1. 3, 12, 48, 192, 768,...

Click here to see answer by Edwin McCravy(20056)

Question 295547: I'm doing series and sequences, and I'm having an issue with this problem:
"Write the next term in the sequence. Then write a rule for the nth term."
-5, 10, -15, 20,...
I figured out that the next term in the sequence is -25, but I can't figure out a rule to explain it. We've tried everything that comes to mind, and the problem seems so simple but it feels as though something is just beyond my grasp.
Click here to see answer by Fombitz(32388)

Question 295555: Can you help me find the 100th term in the geometric sequence..
3,6,12,24,48...
Click here to see answer by Edwin McCravy(20056)

Question 295780: 7,15,31,63, ...
The first term in the sequence above is 7, and each term after the first is
Determined by multiplying the preceding term by m and then adding p. What is the value of m?
(A) 1
(B) 2
(C) 3
(D) 4
(E) 9

Click here to see answer by richwmiller(17219)

Question 295963: What is the value of 2 � 4 + 6 � 8 + 10 � 12 + 14 ��. � 100 ?
(A) -50 (B) 0 (C) 50 (D) 100 (E) None of these

Click here to see answer by richwmiller(17219)

Question 296185: What is the 2001st number in the sequence: 2, 5, 8, 11,...?
(A) 5996 (B) 5999 (C) 6000 (D) 6001 (E) 6002
Click here to see answer by manas(5)

Question 296185: What is the 2001st number in the sequence: 2, 5, 8, 11,...?
(A) 5996 (B) 5999 (C) 6000 (D) 6001 (E) 6002
Click here to see answer by richwmiller(17219)

Question 296293: I need to find the rule of the infinite series starting with
1, 2, 4, 8,...
i tried multiplying, using powers, adding and subtracting..
and nothing's worked! please help and give me tips to do it
faster.. thanks:)
Click here to see answer by stanbon(75887)

Question 296428: can you help me with this problem, please.
find the value of a such that the quadratic shown below will have two equal, rational roots. justify your answer.
ax^2+6x+1=0
Click here to see answer by ankor@dixie-net.com(22740)

Question 296839:
Click here to see answer by richwmiller(17219)

Question 296839:
Click here to see answer by jrfrun(3)

Question 296837: Find the sum of 300 natural numbers
Click here to see answer by Alan3354(69443)

Question 296990: what is the formula for the series 0,1,3,6,10,15
Click here to see answer by richwmiller(17219)

Question 296963: the sequence 2, 3, 4, 6, 7, 8, 10, 11 consists of positive integers which are not perfect squares. what is the 100th number in this sequence?
Click here to see answer by richwmiller(17219)

Question 297472: The lengths of the sides of a triangle are three consecutive whole numbers. The perimieter is 153cm. Determine the length of the three sides and give a complete algebraic solution? Thanks everyone!!
Click here to see answer by rfer(16322)

Question 297622: The sum of the first 100 terms of the sequence 1, -2, 3, 4, -5, 6, 7, -8, 9, 10� is 1750. The sum of the first 100 terms of the sequence 1, 2, -3, 4, 5, -6, 7, 8, -9, 10� is equal to
(A) 1684 (B) 1717 (C) 1783 (D) 1816 (E) None of these
Click here to see answer by Edwin McCravy(20056)

Question 297772: What is Fibonacci best known for?
Click here to see answer by user_dude2008(1862)

Question 298191: What is the next number in the sequence: 1, 2, 3, 4, 5, 8, 7, 16, 9, ...?
(A) 8 (B) 11 (C) 18 (D) 23 (E) 32
Click here to see answer by palanisamy(496)

Question 299053: find the two consecutive positive even numbers the sum of whose squares 340.se[arate the two numbers with a comma
Click here to see answer by checkley77(12844)

Question 300219: CONTINUE THIS NUMBER PATTERN:
1,8,27,64,__, __, __,__, __,1000...
Click here to see answer by amoati(11)

Question 300351: A house purchased last year for $80,000 is now worth $96,000. Assuming that the value of the house continues to appreciate (increase) at the same rate each year, find the value 2 years from now?

THANK YOU!
Click here to see answer by Fombitz(32388)

Question 300447: find the indicated nth partial sum of the arithetic sequence: 11,17,23,29,...,n= 30
Click here to see answer by Fombitz(32388)

Question 300446: Find the sum of the infinte series: Σ2(3/7)^k(with the infinity sign on top of Σ, and k=1 on the bottom.)
Click here to see answer by Fombitz(32388)

Question 301028: what is the sum to (3a squared-ab-7)+(5a squared+ab+8)-(-2a squared+3ab-9)
Click here to see answer by checkley77(12844)

Question 301140: Simplify -x3 + 3x2 + 4 + (x2 - 5x - 1)

Click here to see answer by helpnalgebra(91)

Question 301144: Solve the equation 1/8 + 5/6x = -2/9

Click here to see answer by helpnalgebra(91)

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