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 652247: solve using the addition principle
2x + 7 > x + 12
the solution set is { x/x > _____ }
Click here to see answer by MathLover1(20850)

Question 652247: solve using the addition principle
2x + 7 > x + 12
the solution set is { x/x > _____ }
Click here to see answer by jim_thompson5910(35256)

Question 652390: 1/2t=-13

Click here to see answer by rfer(16322)

Question 653132: if 17 is added to the number im thinking of and then the sum is multiplied by 25, i get 750. what number am i thinking

Click here to see answer by Adebimpe(3)

Question 653318: how do I get 10 by using a=-2,b=-3, and c=4
Click here to see answer by Shana-D77(132)

Question 653923: What is the next term in the sequence below?
1, 3, 5, 8, 11, 15, 19, 24, . . .
Click here to see answer by jim_thompson5910(35256)

Question 654129: The mean of five numbers is 6. What is the sum of five numbers?

Click here to see answer by MathLover1(20850)

Question 654985: Help me understand set plz
Click here to see answer by lynnlo(4176)

Question 655034: f(x) = 3x + 2, find f(x+5) - f(5)

Click here to see answer by DrBeeee(684)

Question 655658: Write a linear function where f(2)=4,f(4)=2 and f(3)=3.
Click here to see answer by MathDazed(34)

Question 655658: Write a linear function where f(2)=4,f(4)=2 and f(3)=3.
Click here to see answer by MathLover1(20850)

Question 656152: find if the points joining A(6,7,1), B(2,-3,1) and C(4,-5,1) are collinear.
Click here to see answer by Edwin McCravy(20056)

Question 656241: What is the last element in the 20th row
1
2 3
4 5 6
7 8 9 10
Click here to see answer by jim_thompson5910(35256)

Question 656238: How many terms of the arithmetic series 1491 + 1484+1477+... are needed to give a sum of zero
Click here to see answer by jim_thompson5910(35256)

Question 656219: If you have 43 cars to paint and 1 gallon does 1.5 cars, how many gallons would you need?
Click here to see answer by MathDazed(34)

Question 656236: If the sum of the terms of an arithmetic series is 234, and the middle term is 26, find the number of terms in the series.
Click here to see answer by jim_thompson5910(35256)

Question 656243: If 20 people in a class shake hands with each other exactly once, how many handshakes will take place
Click here to see answer by Edwin McCravy(20056)

Question 656302: Together, a necklace and a braclet cost $192. Find the price of each if the necklace cost 3 times as much as the braclet.
Click here to see answer by shweta(56)

Question 656507: What are the next three termsand describe the pattern?
-1, 2, -4, 8
Click here to see answer by stanbon(75887)

Question 656507: What are the next three termsand describe the pattern?
-1, 2, -4, 8
Click here to see answer by MathLover1(20850)

Question 656233: The sum of three consecutive terms of an arithmetic sequence is 3. The sum of their squares is 75. find the three numbers
Click here to see answer by htmentor(1343)

Question 656795: find Sn fort he given arithmetic series.. a1=22 d=-8 n=21

Click here to see answer by jhadipak(3)

Question 656846: Algebra 2 question:
find he equation for the sequence of numbers 3, 21, 147, 1029
there are multiples of 7 in the upper numbers (7 to the "n"th power) but how to describe the 3 at the beginning of the sequence?
Click here to see answer by Tatiana_Stebko(1539)

Question 657300: What is the sum of 1 up to 100
Click here to see answer by stanbon(75887)

Question 658732: 2,2,3,7,16,32,57 What is the sequence and what number goes after 57?
Click here to see answer by Shana-D77(132)

Question 658822: (Minimal)� Find the sum of 5+ (-7)+(3)
Click here to see answer by checkley79(3341)

Question 658798: 1. A theatre has 49 seats, 53 in the second row, 57 seats in the third row and so on.
a. can the number of seats in each row be numbered in geometric or arithmetic sequence?
b. write the general term for a sequence a[n] that gives the number of seats in row n. a[n]=
c. how many seats are in row 18?
Click here to see answer by Theo(13342)

Question 659332: y=x+6,x=6 what is the value of y

Click here to see answer by jim_thompson5910(35256)

Question 659345: 3a=2-b
3a=4-b
use the substitution method to solve the linear equations
Click here to see answer by jim_thompson5910(35256)

Question 659375: a=6b=4
a=3b=-2
use the elimination method to solve
Click here to see answer by Alan3354(69443)

Question 659640: Find the nth term of the geometric sequence
125,25,5,1...
Find the nth term of the geometric sequence
7,49,343,2401,...
Click here to see answer by stanbon(75887)

Question 659640: Find the nth term of the geometric sequence
125,25,5,1...
Find the nth term of the geometric sequence
7,49,343,2401,...
Click here to see answer by MathLover1(20850)

Question 660288: What is the product of 2y(4x�+7xy)
Click here to see answer by ReadingBoosters(3246)

Question 661336: I'm trying to help my daughter with her algebra homework and want to make sure I've done the problem correctly before I do?!?
a/7 + 5/7 = 2/7
My answer is a = -3
Am I correct?
Click here to see answer by MathTherapy(10552)

Question 662130: express given sums in summation notation: 11+15+19+23+...+71
Click here to see answer by ewatrrr(24785)

Question 662343: if the first 2 terms of a geometric sequence are √2 and �√2, what is the fourth term
Click here to see answer by sravanik2005(14)

Question 662357: if the product of the first three terms of a geometric is -8 and the sum is 14/3, what is the common ratio of the sequence?

Click here to see answer by sravanik2005(14)

Question 662303: The first three terms of a geometric series are p-1, 2p, and 4p +6 respectively where p is a constant
(a) find the value of the constant p
(b) calculate the corresponding value of the common ratio
(c) Find the sum to ten terms of the series
Click here to see answer by KMST(5328)

Question 662461: Question: In an arithmetic series of 50 terms, the 17th term is 53 and the 28th term is 86. Find the sum of the series.
Problem: I've gone through all the steps but I ended up with a different answer than what's in the back of my textbook. I'm going to type everything thing I did below, and hopefully someone can tell me where I messed up. I used \ when referring to division and / when referring to a fraction.
t17=53
t28=86
tn=a+(n-1)d
53=a+(17-1)d
53=a+16d
a=53-16d
Sn=n\2(2a+(n-1)d)
86=28/2(2a+(28-1)d)
86=14(2a+27d)
86=14(2(53-16d)+27d)
6/1/7=2(53-16d)+27d
6/1/7=106-32d+27d
-99/6/7=5d
-19/34/35=d
a=53-16(-19/34/35)
a=53-320
a=-267
Sn=n\2(2a+(n-1)d)
Sn= 50\2(2(-267)+(50-1)-19/34/35)
Sn=25(-534+(49)-19/34/34)
Sn=25(-1512/3/5)
Sn=-37815
The answer im the back of my textbook says it's suppose to be 3925
Click here to see answer by KMST(5328)

Question 662463: Question: The arithmetic series 5 + 9 + 13 + ... + tn has a sum of 945. How many terms does the series have?
I was just having an issue trying to figure out what formula to use. Any help would be greatly appreciated.
Click here to see answer by MathLover1(20850)

Question 662955: find a possible next number in the sequence?

Click here to see answer by colliefan(242)

Question 663901: Hello and Happy Tuesday:)
After my first order of operations, parenthesis, would I consider 5(6)and 12(3)an exponent problem or a multiplication problem. I copied how I solved, but feel as if I am missing something.
Mathematical Problem of my own creation
300 - 5(3+3) = 306 - 12(3)
First I would solve the problem in parenthesis to simplify then rewrite the equation.
300 - 5(6) = 306 - 12(3)
Next I would solve all my multiplication problems to simplify then rewrite the equation.
300- 30 = 306 - 36
Finally I would solve all my subtraction problems to come up with the solution to the problem.
270 = 270

Click here to see answer by ewatrrr(24785)

Question 664276: 1/3 of a certain number added to 1/5 of the next consecutive number is 5.what is the sum of the 2 numbers?
Click here to see answer by lwsshak3(11628)

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