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 352188: What would be an algebraic expression for the sequence 1,3,6, 10, 15, 21 and so on?
Click here to see answer by Fombitz(32388)

Question 352174: What do the numbers have in common?
44, 62, 71, 80, 116, 2,222
Click here to see answer by ewatrrr(24785)

Question 352579: On a map, two cities are 2 5/8 in apart.If 3/8 in on the map represents 25 mi. Find the number of miles bewteen the two cities?
This problem seems really simple but I just can't figure it out right. Hope you can help! Thank you!
Click here to see answer by mananth(16946)

Question 352546: (9^-2)^-5= thank u so much for any help u can provide me with
Click here to see answer by Fombitz(32388)

Question 352283: Can you help me please?
Thank you very much!
_I appreciate it!
This is the exercise:
Without solving for the number of terms, determine the sum of the series, below, using a formula. Do not round answer, please.
144+72+36+...+0.5625
Click here to see answer by scott8148(6628)

Question 353367: solve the inequalities for x
3-x>0
4x +8<0
7x NEG-21>0
10-2x<0
Thank you

twolittleone@peoplepc.com
Click here to see answer by edjones(8007)

Question 353570: The third and fourth terms of a sequnce are 26 and 40. If the second differences are a constant 4, what are the first five terms of the sequence
Click here to see answer by Edwin McCravy(20056)

Question 353138: what's the first five term of the sequence : tn = 3n-4
Click here to see answer by JBarnum(2146)

Question 353448: simplify;
4y-4x-(4x-y)
Click here to see answer by Fombitz(32388)

Question 353859: Find the nth term of the sequence +1, -4, +9, -16, +25, �
plese sent to my email quickly,,iam waiting for your answer
Click here to see answer by ewatrrr(24785)

Question 354103: how does one solve piecewise functions
f(x)x+4 if x is greater or less than -4
-(x+4) for x is less than -4
Click here to see answer by stanbon(75887)

Question 354641: the first difference of a sequence is 2, 3, 4, 5,... The sum of the first two terms of the original sequence is 16. What first three terms of original sequence?
Click here to see answer by Edwin McCravy(20056)

Question 354774: ___/___*___+___*___*___/___+___*___=100 and you can only use 1 thru 9 once.

Click here to see answer by jim_thompson5910(35256)

Question 354911: Find the complete square of x^2+20x+?
Click here to see answer by stanbon(75887)

Question 355103: the nth term of the sequence is given by tn=5n-2 if the last term is 148,how many terms are there?
Click here to see answer by sudhanshu_kmr(1152)

Question 355160: if a penny is put into a savings account on day one and 2 pennies on day two and so forth until day 100, how much money would be there on day 100? what is the equation for this?
Thanks
Click here to see answer by Fombitz(32388)

Question 355152: In an arithmetic series, the terms of the series are equally spread out. For example, in
1 + 5 + 9 + 13 + 17, consecutive terms are 4 apart. If the first term in an arithmetic series is
3, the last term is 136, and the sum is 1,390, what are the first 3 terms?
Click here to see answer by edjones(8007)

Question 355125: lim 1+2+3+...+n /3n+1 - n/6
Click here to see answer by Fombitz(32388)

Question 355105: What is the sequence of numbers for this expression: n-2, if n=1 I thought it started out with -1. The other sequence which tied into it was 2n, where again n=1. Therefore, I started that sequence with 2,4,6,8,10,12,14. I am correct in my solving of my equation?
Click here to see answer by Fombitz(32388)

Question 355270: Find a number whose product with 6 is the same as its sum with 60
Click here to see answer by JBarnum(2146)

Question 355683: the first three terms of an arithmetic progression are
a1=576 a2=599 a3=622
find the tenth term, a10 and the sum of the first ten terms
Click here to see answer by ewatrrr(24785)

Question 356132: can you explain to me how to do the problem : Find a number whose product with 9 is the same as its usm with 56? step by step
Click here to see answer by Alan3354(69443)

Question 356132: can you explain to me how to do the problem : Find a number whose product with 9 is the same as its usm with 56? step by step
Click here to see answer by mananth(16946)

Question 356150: Find the sum of two consecutive positive even integers such that the square of the smaller is 4 more than 10 times the larger.
I need to know the procces so show steps please.
Click here to see answer by mananth(16946)

Question 356101: Find the sumof 2 consecutive positive even integers such that the square of the smaller is 4 more than 10 times the larger.
Help!
Click here to see answer by mananth(16946)

Question 356239: A geometric series has a second term of 6 and the sum of its first three terms is -14. Find it's fourth term. How do you work this out?
Click here to see answer by Fombitz(32388)

Question 356379: A ball bounces from a height of 2 metres and returns to 80% of its previous height on each bounce. Find the total distance travelled by the ball until it stops bouncing.
Click here to see answer by Fombitz(32388)

Question 356413: I'm a student trying to figure this one out:
-3, -24, -81, -192
the pattern and next term is confusing me. I tried dividing 3/24, 3/81, etc.. after that, ugh... thx for ur time.
Click here to see answer by Fombitz(32388)

Question 356396: The sum of the first n terms of an arithmetic sequence is n(3n + 11)/2 .
a) Find its 1st and 2nd terms
b) Find The 20th terms of the sequence
Click here to see answer by Fombitz(32388)

Question 357859: Hi everyone i hope someone can help me . im using the
formula with a=first term and d= common difference
im trying to solve for a if S21=315 and d=3 .im a little confused what to do when i get
so i need to solve for a
?? this is where i get my problem. how do i get a on its own??
Iv tried

im not sure from here?? do i just subtract 651 from both sides to find a. im not sure that answer dose not look right.?? any help would be appreciated :)
Click here to see answer by mobosecomin(1)

Question 357898: Hi,
having some problems with the following question any chance some one could step by step walk me though it please
Q. find a formula for the sum of
x^2+x^6+x^10+...+x^2+4n+...+x^42
What will be the sum of the series when x = 1?
Also finding this one tricky to:
Q. obtain the sum of the infinite geometric progression
2-2/3+2/9-2/27+...
Any help would be very helpful
Thanks :)
Click here to see answer by Fombitz(32388)

Question 357926: The sequence 3,a,b,c,768 is a geometric sequence. Find the values of a,b,and c.
Click here to see answer by Edwin McCravy(20056)

Question 359043: I TRIED THIS
(p^2-Q^2)/PQ = ((P-Q)(P+Q))/pq so [(3*2)-(5*4)][(3*2)+(5*4)]/(3*2)(5*4) it gives
-91/30
Click here to see answer by Fombitz(32388)

Question 358710: Find the nth term formula for the sequence -8,-2,4
Click here to see answer by Fombitz(32388)

Question 359231: Two numbers are in 5:3. Their sum is 160. What are the numbers?
Click here to see answer by nyc_function(2741)

Question 359353: Hi, I need help solving this 7th grade math problem:
Write each sequence of numbers in exponent form;
8,24,72,216
Thanks!!
Click here to see answer by Edwin McCravy(20056)

Question 359533: Find the value of r in the geometric sequence 200, 20, 2, 0.2
Click here to see answer by mananth(16946)

Question 359548: Consider the series: 68, 81, x, 113, 132, find the value of x?
Click here to see answer by vleith(2983)

Question 359548: Consider the series: 68, 81, x, 113, 132, find the value of x?
Click here to see answer by Fombitz(32388)

Question 359465: What is the "nth" term of this sequence?
a1=2 1/2, d=1 1/2, n=24
Click here to see answer by Fombitz(32388)

Question 359700: I hope you can help sove this question;
The first term in an arithmetic series is 16 and the last is 60. The sum of the arithmetic series is 342. Find the common difference.
Click here to see answer by vleith(2983)

Question 359876: Find the third, fourth, and fifth terms in the sequence if
A1=3, a2=6 and an= 3an-1-2an-2

Click here to see answer by robertb(5830)

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