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 255024: A golf ball is hit in the air. the path of the golf ball can be described by the equation h = 55t - 5t where h is the height of the ball in meters and t is the time after how many seconds will the ball be in 160 high
Click here to see answer by Alan3354(69443)

Question 255866: whats the answer i dont get it 405, 135, 45, 15, i need the next two
Click here to see answer by Alan3354(69443)

Question 255927: this is the sequence
1,4,9,16,25
what is the pattern expressed algebraically?

Click here to see answer by richwmiller(17219)

Question 255927: this is the sequence
1,4,9,16,25
what is the pattern expressed algebraically?

Click here to see answer by Mathnerd123321(4)

Question 256014: how do you solve a geometric sequence if the numbers are 2, 8, 32 ?
Click here to see answer by Alan3354(69443)

Question 256060: Subtract the following numbers rounded to the nearest tenths place.
134.679
45.548
67.8807
Click here to see answer by drk(1908)

Question 256103: Hi, My sister has an exam tomorrow and I am helping her study.We are having a problem with sequence equations. It gives a sequence like 2,5,8,11 and wants us to find the 23rd term. now I understand the first part which is to figure out the the number between the two terms and times it with the term you want to find, but then for some reason her book says to add a number to get the answer and I am so confused. the most I can get is t=3n and then I am stuck please help us.
thank you
Kaitlynn
Click here to see answer by jim_thompson5910(35256)

Question 256266: Find the fifth, tenth, and hundredth term of each sequence...
4,14,24,34
I know that the way to solve the problem is to use the equation;
A(n)= a+(n-1)d.
But I just Do Not know which number goes to which variable? Since each term adds 10. Would the equation be. A(5)= A+(5-1)10?
Click here to see answer by Greenfinch(383)

Question 256269: What is the function for the sequence 1,8,27,64
Click here to see answer by Greenfinch(383)

Question 256269: What is the function for the sequence 1,8,27,64
Click here to see answer by vleith(2983)

Question 256279: What is the function for the sequence 10,12,14,16
Click here to see answer by richwmiller(17219)

Question 256467: Using the formula mx+b=y; how do you determine b?

Click here to see answer by richwmiller(17219)

Question 256469: First you are given a table with 2 people on each side and one on each end.
Then you are asked to use y=mx+b to create a formula telling how many people could be seated at 4 tables. Keep in mind each time you add a table you lose one of your end seats because the tables are put end to end.
Click here to see answer by richwmiller(17219)

Question 256812: In an arithmetic sequence, the first term is 4 and the common difference is �2.
Determine the value of the 99th term.
Click here to see answer by Edwin McCravy(20056)

Question 256812: In an arithmetic sequence, the first term is 4 and the common difference is �2.
Determine the value of the 99th term.
Click here to see answer by checkley77(12844)

Question 257426: The first three terms of an arithmetic sequence, in order, are 2x + 4, 5x � 4, and
3x + 4. What is the sum of the first ten terms of the sequence?
Click here to see answer by edjones(8007)

Question 257497: when asked what is the next number, or what is the sequence, what and how do you figure it out

Click here to see answer by stanbon(75887)

Question 257916: In an arithmetic series the sum of the first 9 terms is 162 and the sum of the first 12 terms is 288. Determine the series.
Click here to see answer by Theo(13342)

Question 258336: In an arithmetic sequence of positive numbers, the common difference is twice the first term, and the sum of the first six terms is equal to the square of the first term. Find the first term of the sequence.

Click here to see answer by palanisamy(496)

Question 258505: How do you get the sum 10 with the numbers; 2, 4, 9, and 3?

Click here to see answer by checkley77(12844)

Question 258505: How do you get the sum 10 with the numbers; 2, 4, 9, and 3?

Click here to see answer by richwmiller(17219)

Question 258570: How do I write a formula for M in terms of t?
This is the chart I'm given:
number of triangles (t) number of sticks (m) (making a pattern of triangles
1 (one) 6 (six)
2 (two) 10 (ten)
3 (three)
4 (four)
5 (five)
oops...the 6 and the 10 are supposed to appear under the column no.of sticks (m)
I just need a model answer so I can understand how to approach other ones. Any help would be really apprectiated.
Click here to see answer by drk(1908)

Question 258718: Write the explicit formula for the geometric sequence.
0.5,-0.1,0.02,-0.004, ...
Click here to see answer by vksarvepalli(154)

Question 258765: The sum of the first n terms in a sequence is always 1/n. Find the product of the first 2007 terms.

Click here to see answer by stanbon(75887)

Question 258681: three numbers are in AP and their sum is 21. if 1,5,15 are added to them respectively,they form a GP.The numbers are.
please tell me the solution and method of solving this type of questions.

the above is question of AP and GP.
Please reply me on email-id:- fernsnadia@gmail.com
Awaiting for yours earliest reply
Nadia Fernandes.
Click here to see answer by Fombitz(32388)

Question 259021: find 2 numbers thats sum is 28 and a product of 147
Click here to see answer by richwmiller(17219)

Question 259021: find 2 numbers thats sum is 28 and a product of 147
Click here to see answer by drk(1908)

Question 259612: Write the geometric series -9/2 + 3/2 - 1/2 + 1/6- ... + 1/39366 in summation notation
Anyone?
(:
Click here to see answer by scott8148(6628)

Question 259657: three numbers are in AP and their sum is 21. if 1,5,15 are added to them respectively,they form a GP.The numbers are.
please tell me the solution and method of solving this type of questions using this formula for Ap:(a-d),a, (a+d) and for GP:a/r,a,ar
the option for the above question is :A)5,7,9 B)9,7,5 C) none of these

the above is question of AP and GP.

Click here to see answer by Fombitz(32388)

Question 259658: three numbers are in AP and their sum is 21. if 1,5,15 are added to them respectively,they form a GP.The numbers are.
please tell me the solution and method of solving this type of questions using this formula for Ap:(a-d),a, (a+d) and for GP:a/r,a,ar
the option for the above question is :A)5,7,9 B)9,7,5 C) none of these
the above is question of AP and GP.

Click here to see answer by Fombitz(32388)

Question 259680: The first term in the sequence is 256. After the first term, each term is multiplied by two and then divided by four. What is the value of the 9th term?
(A) 8 (B) 4 (C) 2 (D) 1 (E) 0

Click here to see answer by Edwin McCravy(20056)

Question 259695: how do we get the expression (n+1)^2-3^(n+1)

Click here to see answer by Alan3354(69443)

Question 260663: A sequence begins with 1, 4, 7, � Another sequence begins with
99, 95, 91, � At which position is the positive difference between
the respective terms of the two sequences the minimum?

Click here to see answer by jsmallt9(3758)

Question 260678: Find the missing numbers in the sequence: 4, 10, 22, 46, _____, _____, 382
Click here to see answer by Fombitz(32388)

Question 260678: Find the missing numbers in the sequence: 4, 10, 22, 46, _____, _____, 382
Click here to see answer by PRMath(133)

Question 260678: Find the missing numbers in the sequence: 4, 10, 22, 46, _____, _____, 382
Click here to see answer by ankor@dixie-net.com(22740)

Question 261486: What is the formula for the nth term for the infinite sequence:
1,5,9,13,17,21,...
Click here to see answer by palanisamy(496)

Question 261707: Finish the following sequence: 5, 9, 21, 57, 165, ____, ____
Click here to see answer by Edwin McCravy(20056)

Question 261800: 4,5,9,18,34,59...........whts after 59
Click here to see answer by williamson.family05(2)

Question 262650: I can't seem to figure out where to begin, I keep getting incorrect answers. Could someone help please?
What are the missing terms of the arithmetic sequence -8,___, ___, 3?
What is Sn for the arithmetic series with a1 = 3, an = -38, and n = 8?
What is Sn for the arithmetic series with d = -4, an = 27, and n = 9?
Click here to see answer by edjones(8007)

Question 263151: The speed of light in a vacuum is 2.9979246 x E8 metres per second. Write this value to the following number of significant figures
a) 1
b) 3
c) 5
Thank you very much
Click here to see answer by drk(1908)

Question 263298: What is the 6th term of the followings sequence?
1 cube, 4cubes, 10 cubes
Click here to see answer by masoax(2)

Question 263488: How do you describe the pattern, write the next term and write the rule for the nth term for the sequences 1, 2, 4, 8,...
Click here to see answer by oberobic(2304)

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