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

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Question 796780: find the first three terms and the 100th term of sequences whose nth term is given by:
6n-5

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Question 796781: find the first three terms and the 100th term of sequences whose nth term is given by:
10n-1

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Question 796781: find the first three terms and the 100th term of sequences whose nth term is given by:
10n-1

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Question 796783: find the first three terms and the 100th term of sequences whose nth term is given by:
3n+8

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Question 797281: how to find next two terms of the following sequences

-1,2,12,40....
whole solution plzzz help me im in problem

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Question 797869: I am trying to solve and write an arithmetic equation for;
0,7,26,63,124,215. I have worked down to a common number (6). I don't know where to go from there.
Thank you for your help.
Emma

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Question 798070: Q. please enter the missing no. 3,4,8,17,33 ans.50 58 66 99 no define
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Question 798483: This is a arithmetic sequence
A museum purchases a painting for $15,000 the painting increases in value each year by 10 percent of the original price. What is the value of the painting after 10 years?

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Question 798483: This is a arithmetic sequence
A museum purchases a painting for $15,000 the painting increases in value each year by 10 percent of the original price. What is the value of the painting after 10 years?

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Question 798521: nth term of a sequence is 6n + 2, what is 26th term?
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Question 798721: Most photocopiers can reduce the size an image by a maximum of 64% of the original dimensions how many reductions at the maximum setting would it take to reduce an image to less than 10% of its original dimensions
I did it logically and I got a answer of 6
But I prefer to do it algebraically using the geometric sequence formula
Show me !!

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Question 799198: The product of 5 times a number plus the product of 3 times the same number is 16.
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Question 799569: question is 3 12 35 140 163 what 3 #'s come next?
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Question 798992: What it the expression to this problem, the sum of 8 and 9,doubled

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Question 799629: x,y,10,z 18 -------------- In the sequence above, the same positive integer is added to each term, starting with x,to obtain the next term in the sequence. What is the sum of the first five terms of the sequence?
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Question 799680: The arithmetic mean of two numbers is 5 and the geometric means of the same numbers is 3.find the numbers
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Question 799680: The arithmetic mean of two numbers is 5 and the geometric means of the same numbers is 3.find the numbers
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Question 799789: why is 8 less than A translated as A-8 and not 8-A
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Question 799789: why is 8 less than A translated as A-8 and not 8-A
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Question 800112: If 3,p,q,24 is an arithmetic series, find the values of p and q
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Question 800214: whwt is the solution to this sequence
1 8 27 64 .....

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Question 800386: Determine the pattern in the set of numbers. Explain what the pattern is, then write the next two numbers.
5,8, 11, 14,... ( I know this part)
Find the sum of the first 100 even numbers. What strategy did you use?
( I don't get this part at all)

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Question 800964: the first term of an arithmetic sequence is -14 while the sum of the first 20 term is 860. find the 20th term.
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Question 800966: find the fourth term of the geometric sequence whose first term is 16 and with the common ratio equal to 1/2.
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Question 801022: If 2x+5=-25 and -3m-6=48, what is the product of x and m?
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Question 801953: 20 increased by wat number is 24% ?

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Question 802597: Find the 6th and 15th terms of the arithmetic progression whose first term is 6 and common difference is 7
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Question 803180: find the general terms of the following sequences
a. 4,7,12,19,28
b. 3,-5,7,-9,11
c. 2,6,12,20,30
d. 3,-6,12,-24,48

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Question 803100: Use inductive reasoning to find the next two terms in each sequence
360,180,120,90,____,____
1,5,14,30,55,___,_____

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Question 803278: I have to find the _th term of a sequence
what i know
a= 2.2
d= -0.2
Tn= -14
how do i find what term -14 is?

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Question 803568: A(n)=5+(n-1)(-3)
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Question 803751: The sum of 3 numbers is 2009. If the ratio of the first number to the second is 2:3 and the ratio of the second to the third number is 5:8, what is the third number?
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Question 803583: A(n)=-3+(n-1)(5)

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Question 804208: Please help solve the equation .
what is the 8th term 4,9, 16, 25

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Question 804487: How would you do this equation? 25=n/-6+(-19)
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Question 804487: How would you do this equation? 25=n/-6+(-19)
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Question 804755: My sister has a problem that is about patterns and it goes "Sum: 2,6,12" and she keeps asking me for help but I do not understand how I an to get the solution. If you can explain it to me that would be great! :) thank you!
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Question 805263: Find the explicit forumla for th following sequence:
a5= -17 and a28= 374

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Question 805289: If sum of the three terms of an AP is 27 and product of three terms is 504,find the terms?
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Question 805287: If the sum of three terms of an arithmetic progression is 27 and product of the three terms is 504, find the terms?
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Question 805665: I need to use only the numbers 2, 4, 9, 14, and 17 and get the answer 3!
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Question 805346: What is number is next in the sequence?.....3,-6,12,4,20,?
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Question 804441: How would you find the 50th term of the pattern 1,1,2,3,5
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Question 804988: I need help with writing a sigma notation of 1/2 + 3/4 + 5/6 + ... 99/100, but I keep on getting lost and going in circles.
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Question 806073: 2^(x+3)=64
How do I solve for x?

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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