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 604057: Will you show me how to evaluate this problem. 2+5+8+11+.....; S9 I know it is an Arithmatic series, I just don't know how to evaluate it!
Click here to see answer by jim_thompson5910(35256)

Question 604590: I need help finding the vertex of the parabola: y= -6.25x�+ 150x + 7200?
I have graphed it and found the vertex to be (12, 8100) but I need to be able to find it algebraically. I tried taking the derivative but I'm not sure I was doing that right or if thats how I should approach it. Please explain your steps, so that i can learn what and why you are doing what you do. Thanks in advance for all the help.
Click here to see answer by nerdybill(7384)

Question 604635: What is the difference between 200th and 300th term of the sequence 1,3,7,15.....?and how to solve it
Click here to see answer by scott8148(6628)

Question 604718: Find the number of terms in the sequence 5,2,-1,...,-37
The next term in 3,6,12,24,48,...
The 100th term in 6,8,17,26,35,...
Given that the sequence 1,6,x,y,20,...is a Fibonacci sequence, find x and y.
Click here to see answer by stanbon(75887)

Question 605399: Evaluate the arithmetic series where t1=42, tn=146, and n=14.

Click here to see answer by jim_thompson5910(35256)

Question 605754: how can i find the 10th sequence for the sequences 1+3+6+10+...
Click here to see answer by mathie123(224)

Question 605848: find the sum of each.
2.3+2.6+2.9+....; 40th term
Click here to see answer by htmentor(1343)

Question 605844: find the exact value of the indicated term of each sequence.( show the formula and work)
4,-12,36,-108,...find a15
Click here to see answer by htmentor(1343)

Question 606787: 2006 is the product of three primes, 2 � 17 � 59.
Find the first year that occurs after 2006,
which is the product of three consecutive primes.
Show or explain how you got your answer.

Click here to see answer by solver91311(24713)

Question 606802: A new car valued at $26,000 depriciates at a rate of 10% per year. How much will the car be worth (a) when it's 8 years old. (b) when it's 9 years old.
This is a question on my geometric sequences assignment. I don't have any examples of this in my notebook and I can't really figure out how to solve it using the rules of geometric sequences. Could anyone explain how to solve it to me please?
Click here to see answer by scott8148(6628)

Question 607094: "Find the 4th term in binomial expression (2x+3y)with a coefficient of 6.
Click here to see answer by lynnlo(4176)

Question 607048: give the first four terms of the arithemtic sequence for which a1=-22 and r=5
Click here to see answer by KMST(5328)

Question 607114: What is the nth rule for 0,,,?
Click here to see answer by Edwin McCravy(20056)

Question 607190: Find the 15th term of the given sequence -9, 27 , -81.....
Click here to see answer by MathLover1(20850)

Question 607239: Hi Tutors,
Help me please, if you may? I'm not sure what to do.

Give an example of an arithmetic sequence that is found in the real world. Find the common difference and write a recursive and iterative rule for the sequence. Use one of the rules to find another term of the sequence.
Then give an example of a geometric sequence that is found in the real world. Find the common ratio and write a recursive and iterative rule for the sequence. Use a rule to find any term.
Then clearly explain why each example is either an arithmetic or geometric sequence.
Click here to see answer by stanbon(75887)

Question 607328: Weights of the Pacific yellowfin tuna follow a normal distribution with mean 68 pounds and standard deviation 12 pounds. For randomly caught Pacific yellowfin tuna, what is the probability that the weight is less than 50 lbs?
Click here to see answer by ewatrrr(24785)

Question 607408: Where do i start to set this up?
Suppose that 79,000 is invested at 5 and 1/2% interest, compounded quarterly .
(a) find the function for the amount to which the investment grows after t years.
(b) find the amount of money in the account at t=0,3,7,10 years.
(c)when will the amount of money reach $300,000?
Click here to see answer by stanbon(75887)

Question 607406: 75+15+3+...
Find the sum, if it exists.
Help? how to solve?
Click here to see answer by Edwin McCravy(20056)

Question 607821: Please help me with problem, thanks:
7+(-21)+63+(-189)+...
a) n=18
b) S_n=3829
Click here to see answer by ewatrrr(24785)

Question 608061: Write a recursive rule for 2,4,16,256,65536
You would square the number, I need help of what to do next, please
Click here to see answer by jim_thompson5910(35256)

Question 608060: Write a recursive rule for 1,3,4,7,11
Please help!
Click here to see answer by jim_thompson5910(35256)

Question 608090: Simplify: (n+2) ! / n!
I thought it may be (n+1) x (n+2)
Click here to see answer by jim_thompson5910(35256)

Question 608109: Find a27 for the following sequence: 12,9,6,3
Click here to see answer by jim_thompson5910(35256)

Question 608185: The given series has 6 terms. What is the sum of the terms of the series?
17+25+33+...+57
Click here to see answer by jim_thompson5910(35256)

Question 608185: The given series has 6 terms. What is the sum of the terms of the series?
17+25+33+...+57
Click here to see answer by solver91311(24713)

Question 608335: Hi my question is: How are the angles 38 and 52 geometrically related?
Click here to see answer by solver91311(24713)

Question 608591: I have a problem that I simply cannot solve. I have to put this series into summation notation, but I can't find the explicit formula! The series is
1 + 1/4 + 1/9 + 1/16 + 1/25
How do I even find the common difference in a series like that?
Click here to see answer by ewatrrr(24785)

Question 609035: The first term of a geometric sequence is 1 and the common Ratio is 5, determmine the largest 3-digit number that represents a term of this geometric sequence.
Click here to see answer by flame8855(424)

Question 609283: a building 82 ft high cast a 205-ft shadow. The triangle formed by the building and its shadow is similar to the triangle formed by Sarah and her shadow. how tall is she?
Click here to see answer by Alan3354(69443)

Question 608763: There are 52 white keys on apiano. The frenquency produced when a key is struck is the number of vibrations per second the key's string makes. Is this relation a function?
Click here to see answer by richard1234(7193)

Question 609314: the scale on a map is 1 cm : 7 km. if two cities are 14 cm apart on the map, what is the distance between the cities?
Click here to see answer by stanbon(75887)

Question 609342: Find the nth term of a sequence whose first several terms are given.
9/10, 10/11, 11/12, 12/13...
an=?
Click here to see answer by flame8855(424)

Question 609435: How do I find the first term of the arithmetic sequence if a^4=16 and a^10=46?
Click here to see answer by scott8148(6628)

Question 610090: 87. Find the next number in the series:
1, 7, 21, 46, 85, 141,?
A. 207
B. 217
C. 227
D. 237
Click here to see answer by flame8855(424)

Question 609287: Alright so I have to do quadratic FUNCTIONS, not quadratic equations. Apparently there is a difference so I have to solve all these other little problems to get the ax^2+bx+c. For example, (not word to word but you'll get the point): Find c(x)=? it takes $103 to make 3 cameras, $163 to make 7 cameras and $328 to make 12 cameras. ok, i know how to but them into the three equations: 103=6a+3b+c, 163=49a+7b+c, and 328=144a+7b+c. but after that i'm totally lost.
Click here to see answer by SwiftAlbatross(13)

Question 610408: common difference = 5, first term = -2 ... The nth term of the series is 183. Fin the value of n.

Can't get further than -2 + 5(n-1) = 183 .. how do i get to the answer?
Click here to see answer by ewatrrr(24785)

Question 610505: Find three geometric means between 64 and 4
I got an answer of 8, 16, 32
Is that correct?
Click here to see answer by jim_thompson5910(35256)

Question 610742: Identify wheter the pattern is arithmetic, geometric, or neither. 1,1/2,1/4,1/8,1/6......
Click here to see answer by jim_thompson5910(35256)

Question 610800: what is the next numbers in a series of 3,9,21,46,91,163, 269
Click here to see answer by richwmiller(17219)

Question 610800: what is the next numbers in a series of 3,9,21,46,91,163, 269
Click here to see answer by fcabanski(1391)

Question 610868: Find the sum of the series 5 + 0 + (-5) + ...+(-130)
I think the answer is -1750. Is that correct?
Click here to see answer by jim_thompson5910(35256)

Question 610892: FInd the standard deviation for the given data:
4, 8, 9, 14, 10
I got 3.22 is that correct?
Click here to see answer by jim_thompson5910(35256)

Question 610892: FInd the standard deviation for the given data:
4, 8, 9, 14, 10
I got 3.22 is that correct?
Click here to see answer by ewatrrr(24785)

Question 610928: Find the sixth term of the geometric sequence 1/2, 1/3, 2/9
Is 32/729 correct?
Click here to see answer by jim_thompson5910(35256)

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