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 1001637: Please help me and show steps. I have did this question 10 times and still comes up with the wrong answers. Thanks
A movie theater has a seating capacity of 333. The theater charges $5.00 for children, $7.00 for students, and $12.00 of adults. There are half as many adults as there are children. If the total ticket sales was $ 2422, How many children, students, and adults attended?
These are the answers I got.
children 144
students 120
adults 69
Click here to see answer by josgarithmetic(39618)

Question 1001916: The length of a rectangle is 5 inches less than 4 times the width. The perimeter is 100 inches. Find the length and the width.
The length is
inches and the width is
inches.
I would just like to know how to write this equation out and then I can take it from there just need an exaMPLE, pLEASE
Click here to see answer by Theo(13342)

Question 1001915: The width of a rectangle is 3 inches less than the length. The perimeter is 46 inches. Find the length and the width
I would just like the equation to get to the answer. I have a few of these questions
Click here to see answer by rothauserc(4718)

Question 1001918: Tyler has two savings accounts that his grandparents opened for him. One of the accounts pay 6% annual interest, whereas the other pays 8% annual interest. If you have $800 more invested at 8% than you invested at 6%, how much do you have invested in each account if the total amount of interest you earn in a year is $120?
Just need to know how to set up the problems

Click here to see answer by macston(5194)

Question 1002020: I am not getting this at all. Here is the equation. One number is six more than another. Their sum is ten. Find both numbers.
I tried it the way Theo 5775 and it was so consing I think what I am need the formula without all the extra wording I want to formulate just plug in numbers
Click here to see answer by mananth(16946)

Question 1001981: here is a problem that confused me. It says find the next two numbers of 4,10,16,24....
I know it's a sequence.
Click here to see answer by mananth(16946)

Question 1002107: The last three terms of an arithmetic sequence with 18 terms is as follows: 67,72,77. How do you find the first term and the sum of the series
Click here to see answer by ikleyn(52788)

Question 1002193: How can I use summation notation and then evaluate the finite series for each number of terms
35+70+140+280

Click here to see answer by stanbon(75887)

Question 1001680: Term # | Blocks added | Total Blocks
1 | 25 | 25
2. | 18. | 43
3. | 18. | 51
4. | 18. | 69
5. | 18. | 87
Nth. |. ? |. ?
Click here to see answer by Edwin McCravy(20056)

Question 1002322: if a,b,c are positive real numbers such that a(b+c)=152 b(c+a)=162 and c(a+b)=110 then what is the value of abc
Click here to see answer by Alan3354(69443)

Question 1002380: Find the 2nd term of the sequence 4n+3=
Click here to see answer by fractalier(6550)

Question 1002379: Find the 5th term of the sequence 5n-2=
Click here to see answer by fractalier(6550)

Question 1002377: Find the 8th term of the sequence 3n+1=
Click here to see answer by fractalier(6550)

Question 1002376: Find the 7th term of the sequence 2n-5
Click here to see answer by fractalier(6550)

Question 795220: 16, 06, 68, 88, ?, 98
Click here to see answer by qasemw(1)

Question 1002596: If a(b+c)=152 b(c+a)=162 and
C(a+b)=170 then the what is the value of abc
Click here to see answer by Alan3354(69443)

Question 1002898: For the equation, complete the given table.
y=−2x−1
x y
0
-5
1
5

Click here to see answer by Fombitz(32388)

Question 1002950: (X-3)+(6)+(x-7) is a geometric series calculate ;
a) The value if x
b) the common ratio
c) the sum of the first five term
Click here to see answer by ikleyn(52788)

Question 1003204: Select the option for "?" That continues the pattern in each equation.
3, -6, 12, 4, 20, ?
Click here to see answer by fractalier(6550)

Question 1003250: A ball is dropped from a height of 16m and each rebounds internet rises to 1/2 of the height from which it last fell.then what is the distance travelled by the ball when it hits the ground for the 5th time?
Click here to see answer by fractalier(6550)

Question 1003187: I would like to know the formula for this sequence 1, 3, 12, 48
Click here to see answer by Edwin McCravy(20056)

Question 1003374: an arithmetic progression has the 8th term being twice the 4th term. if the 20th term is 40, find the sum of the first 20 terms of the series.
Click here to see answer by mananth(16946)

Question 1003387: what is simillarity between 85 17 19 4 2?
Click here to see answer by ikleyn(52788)

Question 1003539: what is the similarity between these figures 85,17,19,4,2? Mine:they are all greater than one.they can not be divided by three.
Click here to see answer by Alan3354(69443)

Question 1003573: Find the number of terms in the following arithmetic sequence.
8,11,14,17,...41
Click here to see answer by KMST(5328)

Question 1003575: a house was purchased for 78,000.00. After 7 years the value of the house was 92,000.00. Express the house's value V(t) IN TERMS OF t in years
Click here to see answer by richard1234(7193)

Question 1003331: Rewrite this series in sigma notation:
-4 + -1 + 8 + 23 + 44 + 71 + 104
Click here to see answer by Edwin McCravy(20056)

Question 1003729: The sum of the infinite geometric sequence 2 - 1/5 + 1/25 - 1/125 + .... is ______.
A. 14/5
B. 6/5
C. 6/13
D. 11/6
E. 9/4
Click here to see answer by jim_thompson5910(35256)

Question 1003815: The first term of a sequence is square root of x. Each subsequent term is determined as the previous term raised to the power of 3 over 4. What is the third term?
Click here to see answer by ikleyn(52788)

Question 1003836: What is the similarity between numbers 85,19,17,4 and 2?.
Click here to see answer by ikleyn(52788)

Question 1003969: What are the first four terms of the sequence whose general term is a n=4(3N-1)?
Click here to see answer by fractalier(6550)

Question 1004177: A tennis ball is dropped from a height of 32 feet, rebounding to 1/2 its former height with each bounce. How far will the ball have traveled VERTICALLY when it comes to a rest?
Click here to see answer by ikleyn(52788)

Question 1004512: Three numbers whose sum is 3 form an arithmetic sequence and their squares form a geometric sequence. What are the numbers?
Click here to see answer by ikleyn(52788)

Question 1004534: The sum of an AP to four terms is 38.
The sum of the same AP to eight terms is 124.
How do I work out the first term and the common difference?
Click here to see answer by Theo(13342)

Question 1004989: My homework is asking me to find a recursive definition for a sequence, but we didn't do anything like this in class so I'm at a loss. If you can, please explain how one would find a recursive def. for a sequence
a(1)=1
a(2)=7
a(3)=13
a(4)=19
a(5)=25
a(6)=31
a(7)=37
a(8)=43
Click here to see answer by stanbon(75887)

Question 1005086: What Is the simalitaty between 85,17,19,4and2?
Click here to see answer by AnlytcPhil(1806)

Question 1005224: HOW MANY TERMS ARE THREE IN THE SEQUENCE 1,4,7,---,88?
Click here to see answer by ikleyn(52788)

Question 1005333: The 2nd and 5th terms of a Geometric Progression are 7 and 56 respectively . (a) find the common ratio . (b) the first term . (c) sum of the first 5 terms
Click here to see answer by Boreal(15235)

Question 1005334: Find the sum of the first 6 terms of the Geometric progression : 18,6,2, .............
Click here to see answer by Boreal(15235)

Question 1005337: how do I find an algebraic formula for 12,16,21,27
Click here to see answer by MathLover1(20850)

Question 1005464: The sum of the 6th and 8th terms of an A.P is 142 . If the fourth term is 49 , (a) find the first term . (b) the common difference . (c) the sum of the first seven terms of the progression.
Click here to see answer by stanbon(75887)

Question 1005810: Help with special sequences?
I'm stuck on these two questions and it would be greatly appreciated if you could help me! Even if its one question, I would really like to get the whole concept to help prepare for my test! Thank you!!
1. Find the 4th term if the sequence in which a^1 = 2 and a^n+1 = -4a^n + 2.
2.Find the third iterate, x^3, of the function f(x) = 3x + 5 for an initial value of x^0 = 1.

Click here to see answer by KMST(5328)

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