Questions on Algebra: Sequences of numbers, series and how to sum them answered by real tutors!

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Question 462232: What is the sum of a 17–term arithmetic sequence where the first term is 6 and the last term is –90?
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Question 462233: A tuition scale for a state university shows an increase of $1,300 each year.
If the initial cost was $21,000, what will the cost of tuition be in twenty three years?
Please explain how an arithmetic sequence was applied.
Thank you!

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Question 463882: What is the 32nd term of the arithmetic sequence where a1 = 4 and a6 = 39 ?
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Question 463762: The eighth term of an arithmetic sequence is 55 and the tenth term is 77. Find the third term.
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Question 464959: what does the "%" stand for?
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Question 464968: find a n for the following geometric sequence a1=4,r=-3
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Question 464968: find a n for the following geometric sequence a1=4,r=-3
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Question 465062: solve the equation x^3+2x^2+x+2=0, if -2 is a root.
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Question 465061: use the factor theorem to determine whether (x-3) is a factor of
f(x) = x⁴+ 12x³ + 6x + 27

Click here to see answer by Edwin McCravy(20056) About Me 

Question 465281: Find a positive interger values for a and ab that satisfies the equation 1/a + a/b + 1/ab = 1
Please provide workings
Thanks
Doug

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Question 465282: Find positive interger values for a and b that satisfies the equation 1/a + a/b + 1/ab = 1
Please provide workings
Thanks
Doug

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Question 465403: what is the relation of the turm of the sequance 200,90,10,100,150,50

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Question 465959: 〖4y〗^2-〖5x〗^2+〖4z〗^2; -〖5z〗^2+〖8y〗^2 (subtract)
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Question 464847: The length of a rectangle is 2 inches less than 3 times the number of inches in its width. If the perimeter of the rectangle is 28 inches, what is the width and length of the rectangle?
{Width in., Length in.}

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Question 466146: What is the next term in the geometric sequence 16, –4, 1, – 1
4 , … ?

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Question 466170: what is the sum of the infinite 52+78+117+...
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Question 466171: Find sum of the odd integers from 7 to 117 inclusive
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Question 465619: (1)find the sum of 1+1/2+1/3+......+1/n.

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Question 466544: There are 3 nos.Their sum is equal to result of their multiplication.Which are they? Other than 1,2,and 3.
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Question 466544: There are 3 nos.Their sum is equal to result of their multiplication.Which are they? Other than 1,2,and 3.
Click here to see answer by richard1234(7193) About Me 

Question 466579: Which of the following is equal to 5.93*10-2
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Question 466580: the number of multiples of 3 between 0 and 100.........and easiest way/formula to solve this type of problem.

numbers of even integer between 0 and 100, and easiest way/formula to solve it

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Question 466689: rewrite using sigma notation
3+6+9+12+15

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Question 467012: sum of 1+2+3+...+81
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Question 467166: I have to do two problems dealing with arithmetic and geometric sequence. I am taking MAT126 online and never took trig before. I have an assignment that is due and I need your help.
1. [an=a1+(n-1)=d the answer is 1800 but how do I show my work?
2. a1=1/2r=6 and n=5 the answer is $814.45 but how can I show my work, and know how I got these answers?

Click here to see answer by stanbon(75887) About Me 

Question 468271: the angles of a quadrilateral are in arithmetic progression whose commom difference is 10. find the angles

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Question 468813: I need help simplifing this equation:
-8x^2-12y^2-6(2x^2-5y^2)

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Question 469992: What is a rule for the nth term of the geometric sequence -3,-6,-12,-24,-48,...?

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Question 470183: I need help with this summation problem...
the summation of (-1)^i from 0 to n as n => inf.

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Question 470210: what is the next number in series 5,86,135,160,?
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Question 470879: Indicate a general term for this sequence.


4/3, 5/4, 6/5, 7/6, . . .

Click here to see answer by sudhanshu_kmr(1152) About Me 

Question 470826: help,Please! I spend hole week can solve , thank you in advance
I need help number 17 and 19
http://assets.openstudy.com/updates/attachments/4e20e91a0b8b4841c1ab5a86-salina-1310781031329-page516.jpg

Click here to see answer by Alan3354(69443) About Me 

Question 470951: Use the formula to find the valueof the remain variable: P=2L +2W; L=36, W=134
Click here to see answer by MathLover1(20850) About Me 

Question 470074: What should be the next letter in the following series?
A Z E B I Y O _

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Question 471039: Solve: w^2 + 5w - 36 = 0
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Question 471058: Use rational exponents to simplify
5 sqrt x^10

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Question 471102: Find 2 numbers that have a sum of 22 and a product that is a maximum
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Question 471136: Prove that in an arithmetis sequence of natural numbers, one of the terms is aperfect square , then there are many terms which are perfect squares. Is there an arithmetic sequence of natural numbers in which no term is a perfect square?
Click here to see answer by Edwin McCravy(20056) About Me 

Question 471128: Prove that if inarith metic sequence of natural numbers one of the term is a perfect squqre then there are many term which are perfect squares .is there an arithmetic sequance of natural numbers in which no term is perfect square
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Question 471082: what is the possible answer to the "?" in the series?
the question is 50, 70, ? ,90, ?, ?
thanks

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Question 472552: What is formula for the nth term of the infinite sequence? For these you cannot use a recursion formula. 1, 1/4, 1/9, 1/16, 1/25
A) an = 1/3n-2
B) an = (1/2)n-1
C) an = 1/n^2
D) an = 1/n^n-1
I tried to work it out and i came up with C but i really feel like I messed up. Can someone please try to explain this to me for future reference?

Click here to see answer by scott8148(6628) About Me 

Question 472554: Find the arithmetic means between -2 and 12
and please explain how you got it.

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Question 472701: The sum of three numbers in arithmetic sequence is 24 . If the first number is decreased by 1 , and the second is decreased by 2 , the three numbers will now be in geometric sequence. Use algebra to SOLVE for the three numbers (no guessing and testing).
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Question 472702: C. Logs are stacked so that each layer above the bottom layer is one less log than the previous (lower) layer. If the top layer has five logs, and there are 2840 logs in the entire stack, how many logs are in the bottom layer? Work must be done by algebra, not arithmetic/trial and error/guessing.
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Question 472706: How do I write an equation for a simple number sequence - 1,2,3,4,etc. where each time they get added together. Example would be 1 = 1 total, 2 = 3 total, 3 = 6 total, 4 = 10 total. I want to be able to get the total of any number. Example would be 50 = 1,275
Please help thank you!

Click here to see answer by richard1234(7193) About Me 

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