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 343370: find the 1st and 10th term of sequence: a(n)= -3+(n-1)(2.2)

Click here to see answer by Fombitz(32388)

Question 343949: use s=n^2 to find the sum of 1+3+5+....+501.
------

Click here to see answer by stanbon(75887)

Question 343964: -1, -4, ___, 224 If the nth term in the sequence given above is identified as
n^n - 2n^2 what is the value of the missing term?
Click here to see answer by ewatrrr(24785)

Question 344126: Express in exponential form
log 3 243 = 5
Click here to see answer by Alan3354(69443)

Question 344129: Solve the system of equations
3x + y =1
-x + 2y = 9
Click here to see answer by Fombitz(32388)

Question 344125: Apply the natural logarithm (ln) to find c
7c = 31
Click here to see answer by nyc_function(2741)

Question 344123: Find the sum of the indicated terms of the geometric sequence: 6, 18, 54 . . . (to 7 terms)

Click here to see answer by JBarnum(2146)

Question 344238: Find the next two terms in the series 1,8,27 (show working)
Click here to see answer by Alan3354(69443)

Question 344279: the term is 1/3 the term number
if the term number is 100, what is the answer?
Click here to see answer by stanbon(75887)

Question 344394: FIND THE NTH TERM:
7,49,343, 2401
Click here to see answer by Jk22(389)

Question 344539: how do you solve algebraic sequences? I dont understand them.
Click here to see answer by JBarnum(2146)

Question 344702: -1, -4, ___, 224 . If the nth term in the sequence given above is identified as
n^n - 2n^2 what is the value of the missing term?
Click here to see answer by stanbon(75887)

Question 344693: Find 1n(-91.48).
a. 4.5161
b. i(pi) - 4.5161
c. i(pi) + 4.5161
d. -4.5161
Click here to see answer by stanbon(75887)

Question 345515:
Click here to see answer by Fombitz(32388)

Question 345516: sequence 4 7 10 13 16 19 22 what is the 30th sequence

Click here to see answer by ewatrrr(24785)

Question 345600: Number Sequence:
1. .75 is to 3/4 as .8 is to _______________
2. 75% is to 1/2 as 45% is to __________
3. 2 is to 50 as 3.2 is to _____________
4. 14 is to 28 as 5 is to __________
5. 1 is to 1/4 as 5/25 is to _________
6. 0.35 is to 7 as 0.45 is to ________
7. 1/3 is to 2/18 as 1/12 is to _______
8. 3/8 is to 12/32 as 2/5 is to _______
9. 1/3 is to 3/7 as 1/6 is to _________
10. 1/3 is to 3/7 as 1/6 is to ________
11. 0.4 is to 2/5 as 0.6 is to ________
12. 0.2 is to 0.4 as 0.3 is to ________
13. 8 is to 23 as 27 is to _________
14. 0.5 is to 1/2 as 0.65 is to _______
15. 1/3 is to 3 as 2/8 is to _________
16. 30% is to 3/5 as 80% is to _______
17. 0.30 is to 0.075 as 0.15 is to _______
18. 2/5 is to 20% as 3/4 is to _________
19. 625 is to 81 as 5 is to __________
20. 8 is to 11 as 36 is to __________
21. 2 is to 2.5 as 4 is to __________
22. 2 is to 8 as 4 is to __________
Please help me answer these number series. I also need the solutions on how the answers are being solved. I definitely need this for my homework. Thank you so much for all that you do for us students who are having difficulty in Math.
Click here to see answer by JBarnum(2146)

Question 345743: Number Series
1. 75% is to 1/2 as 45% is to __________
2. 2 is to 50 as 3.2 is to _____________
3. 14 is to 28 as 5 is to __________
4. 1 is to 1/4 as 5/25 is to _________
5. 0.35 is to 7 as 0.45 is to ________
Click here to see answer by rfer(16322)

Question 345751: find the sum of the geomtric series 81-27+9... to 6 terms
Click here to see answer by checkley77(12844)

Question 346150: please explain how to do order of oparation in simplfied questions ex.
4x-2y+-10+7x+-5x
Click here to see answer by stanbon(75887)

Question 346582: Hello I seem to be stuck at this problem.
I'm not to sure how to write it as the n and n-1 are subscripts.
Show that an = Sn � Sn-1
Click here to see answer by Theo(13342)

Question 346582: Hello I seem to be stuck at this problem.
I'm not to sure how to write it as the n and n-1 are subscripts.
Show that an = Sn � Sn-1
Click here to see answer by Fombitz(32388)

Question 346370: Find the nth term formula for the arithmetic sequence; 11,21,31.....
Click here to see answer by scott8148(6628)

Question 347669: find using algebra the first five terms of the sequence when the 99th and 100th in the sequence are 351 and 353

Click here to see answer by Fombitz(32388)

Question 347619: 1. . List the terms that complete a possible pattern in each of the following:
(a) 38, 33, 28, 23, 18, ____, ____, ____
(b) 640, 320, 160, 80, ____, ____, ____
(c) 7, 8,15, 23, 38, ____, ____, ____
(d) 4, 8, 16, 32, 64, ____, ____, ____
(e) 1, ____, ____, ____, 25, 36, 49

Click here to see answer by checkley77(12844)

Question 347947: use summation notation to write the series: 1- 1/2+ 1/4- 1/8+ ...- 1/128
Click here to see answer by ewatrrr(24785)

Question 348152: Find the first five terms of the sequences with the nth term given as follows:

(a) 5n + 5 ________, ________, ________, ________, ________

Click here to see answer by ewatrrr(24785)

Question 348207: describe the pattern in the numbers 2,20,10,100,50 and list the next number
Click here to see answer by Edwin McCravy(20056)

Question 349113: Find an experssion for the nth term, and find the 75th term:
-1,-6,-11,-16
Click here to see answer by Fombitz(32388)

Question 349411: Please help understand why in the equation (15-a)/3=-9 a=42 ; I get a=-42
Click here to see answer by Earlsdon(6294)

Question 349508: find the missing sequence
2 _ _ _ _ 2048
using multiplication
thanks
Click here to see answer by Alan3354(69443)

Question 349594: Please help me to find the first five terms of the following recursively defined infinite sequence.
a1=2 (1 represents the input value of term number)
ak+1=3ak-5 (k+1,k represents the input value of term number)

TQ.
Click here to see answer by stanbon(75887)

Question 349738: The expression x squared can be used to find the nth term in a sequence. What is the 5th term in that sequence?
A.)31
B.)25
C.)16
D.)7
Click here to see answer by jim_thompson5910(35256)

Question 350060: what is the least number to be added to 2000 to make it a perfect square? please sir help me to solve the question . with explaination.
Click here to see answer by mananth(16946)

Question 350542: I wouldd like to know how to figure out the long term of a recursive formula
Click here to see answer by nyc_function(2741)

Question 350804: The Fibonacci numbers are shown below
1,1,2,3,5,8,13,21,34,55,89,.......
write the next three numbers in the pattern
Click here to see answer by checkley77(12844)

Question 351009: Find the next three numbers in the geometric sequence −1, −3, −9, ...
Click here to see answer by stanbon(75887)

Question 351198: find a number whos product with 9 is the same as its sum with 56
Click here to see answer by rfer(16322)

Question 351645: Write the first six terms of each of the sequences whose nth term is
n/2[(-1)^n + 1]
Click here to see answer by ewatrrr(24785)

Question 351303: Solve: Find a number that is 96 greater than its opposite.
x=the number
-x=opposite
x=96+-x
Is this right so far?
What do I do next?
Thanks
Click here to see answer by ankor@dixie-net.com(22740)

Question 351749: guys please help me with this characteristic ) sequence lim(1+1/2+1/4+...+1/2n)
Click here to see answer by Fombitz(32388)

Question 352077: Can you help me please?
I will appreciate your answer.
Exercise:
The sum of the infinite geometric series
(x-1)+(x-1)^2+(x-1)^3+ ... is 1/3. Determine the Value of "x".
Thank You!
Click here to see answer by Jk22(389)

Question 352080: Would you mind helping me with this exercise, please.
Thank You!
Use sigma notation to express the following infinite geometric sum and then evaluate the sum to two decimal places.
8+(-6)+4.5+(-3.375)...
Click here to see answer by Fombitz(32388)

Question 352061: The first swing of a bob on a pendulum is 10 inches.If on each subsequent swing it travels 0.9 as far as on the preceding swing,how far will the bob travel before coming to rest?
Click here to see answer by Fombitz(32388)

Question 352135: if the sum of two numbers is 2 and the difference is 12 what are the numbers?
Click here to see answer by sudhanshu_kmr(1152)

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