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

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Question 840087: Trying to find the patterns of;
1, 1, 9, 9, ?
1, 9, 9, 81, ?
6, 0, 0, 0, ?
5, 5, 25, 25, ?
1, 2, 20, 40, ?

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

Question 840177: find the sum of the geometric series.
8+4+2+1+...
find the next part of the pattern.
ao,cn,em,gl,_

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Question 839857: Create a series of ten numbers in which 42 is the fifth term.
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Question 839193: how to find the middle term of an ap if the no of terms are odd
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Question 840128: Find the 7th term of the sequence whose nth term is given by the formula tn = n(n + 2)
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Question 839386: What is the smallest natural number divisible by each of the integers 1-10, inclusive?
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Question 839135: The sequence in this problem has a rule that is different from the rules for an addition sequence or a multiplication sequence. What is the missing number in the sequence?
1,4,3,6,5,8, ____?

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Question 839990: geometric series is given: x=5+15+45+... to 20 terms.
Calculate the value of x.

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Question 840380: n this series which number does not belong? 1,51,17,4,101
4
7
101

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Question 838228: What is the sequence formula for 20, 4, 8, 16,13
Click here to see answer by Edwin McCravy(20056) About Me 

Question 837998: Hello, My name is Sheila, and I would really like your help in solving this problem, and how to set it up.
The problem is a follow: How many one-to-one correspondence are there between the sets { x,y,z,u,v ] and {1,2,3,4,5 } if in each correspondence:
A. x must correspond to 5
B. x must correspond to 5 and y to 1
C. x,y,z must correspond to odd numbers

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

Question 839221: Three positive numbers are in the ratio 1:3:8. if 7 is added to the largest number the three numbers form a geometric sequence. Find the numbers.
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Question 840556: I need help calculating the sum of 1/7 and 1/2
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Question 840700: how do we get the solution to this 3*6+13=57

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Question 840912: The first two terms of a geometric sequence and an arithmetic sequence are the same. The first term is 12. The sum of the first three terms of the geometric sequence is 3 more than the sum of the first three terms of the arithmetic sequence. Determine TWO possible values for the common ratio, r, of the geometric sequence
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Question 840970: If 7,x,y,189 are in a G.P,find x and y
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Question 841041: 6 ,X ,Y ,16 is a sequence of numbers
Determine the values of x and y

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Question 841063: A set of data contains 15 negative numbers and 8 positive numbers. Which one of these statements must be true?
a.
The mean is a positive number.
b.
The median is a negative number.
c.
The mode is a negative number.
d.
The range is a negative number.

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Question 841148: 4 ,1 ,-2
Which term of the sequence is equal to -143

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Question 841406: FIND THE SUM OF THE ARITHMETIC SERIES
5+7+9+11...+31

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Question 841404:
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Question 841410: USING THE ARITHMETIC SUM FORMULA FIND THE SUM OF
5+7+9+11+...+31

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Question 841412: USING THE GEOMETRIC SUM FORMULA FIND THE SUM OF
3+6+12+24...+192

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Question 841421: There is no term in x in the expansion of (1-x)(1-cx)^10, find the value of c.
i tried a few times but i failed to solve it, i would appreciate some explanation

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Question 841526: hi there..how can solve the sequence of abundant numbers?can you give me a formula to list it easily.thank you..
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Question 841587: Using this formula sn=a1 (1-rN)÷1-r. Find the sum of 3+6+12+24...+192
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Question 841566: How do I solve this problem 4x-5=8-6x-8=-15-4(4x-8)=2(5-x)
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Question 841588: A monument is constructed by laying a row of 35 bricks at ground level. A second row, with 5 fewer bricks is centered on that; a third row with 5fewer bricks is centered on the second; and so on. The top row contains 10 bricks. How many bricks are there in the monument?
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Question 841573: determining an arithmetic means between two numbers

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Question 841529: i need help..how can i find the nth term of this sequence
(12, 18, 20, 24, 30,36, 42, 48, 54, 56, 60,
66, 70, 72, 78, 80, 84, 88,90, 96, 100)..i really need a response to this..thanks a lot for helping.

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Question 841613: Find the sum of the first 8 terms if a1=18 and d=3
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Question 841450: An AP has 21 terms.The sum of 10th,11th, and 12th terms is 129 and the sum of the last 3 terms is 237. Find the AP
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Question 841666: using the numbers 10,2,20,and 14 (once each) can you arrive at the number 24. ( only using subtraction, addition, multiplication, and division
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Question 841807: If a = 3
How do i solve this problem
2a+8 1. do i put 2+a=5
or
2. do i pit 23+8

Which one is right
1 or 2

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Question 841898: Please help with this question: each term of a sequence is determined by adding half to the preceding term.The sum of the first twenty five terms of the sequence equals the square of the twenty fifth term.Calculate the possible values of the first term
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Question 841967: what is the sequence of this (2, 3, 4, 5, 7, 8 ,9, 10, 11, 13, 14, 15, 16 ,17, 19, 21, 22, 23, 25 ,26, 27, 28 ,29 ,31, 32, 33, 34, 35, 37, 38, 39, 40, 41, 43, 44, 46, 47, 49, 50, 51, 52, 53, 55, 57, 58, 59, 61, 62, 63, 64, 65, 67, 68, 69, 71, 73, 74, 75, 76, 77, 79)
how can i find the nth term,
example: what is the 6th term
answer: 8

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Question 842089: The first term of a geometric sequence is 9 and the third term is 4. Find the possible values for the second and fourth terms.
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Question 842121: prove that a/p + a + ap + ... + ap^n = (a-ap^n+2)/(p-p^2)
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Question 842180: how many terms in the series 19+16+13...must be added to give a sum of 44
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Question 841929: Determine the sum of the first 40 terms of the following series:
2+2+5+4+8+8+11+16+...

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Question 842485: 3,7,17,39,85,?
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Question 842166: The sum of the 4th and 8th term of an AS sequence is 24 whilst the sum of the 15th and 19th term of the sequence is 68 determine the 5th term

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Question 842639: A alone can do a piece of work in 6 days and B alone can do it in 8 days.A and B undertook to do it for Rs.320 with the help of C , they finished it in 3 days.How much is paid to c? Plese solve this with process.
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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