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

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Tutors Answer Your Questions about Sequences-and-series (FREE)


Question 6533: Please help me solve
Click here to see answer by longjonsilver(2297) About Me 

Question 6530: How do I use change of base to rewrite the expression ?
Click here to see answer by Mike(39) About Me 

Question 6523: What is the fourth term of (x + y)^6 ?
Click here to see answer by Mike(39) About Me 

Question 6532: Please help me answer the following question: If y varies inversely as x and y=8 when x=4, find y when x=16
Click here to see answer by Mike(39) About Me 

Question 6531: Please help me solve ln (x - 4) < 6
Click here to see answer by Mike(39) About Me 

Question 6529: Please help me solve
Click here to see answer by Mike(39) About Me 

Question 6528: How do I find the standard deviation to the nearest tenth of the following set of data? {47, 61, 93, 22, 82, 22, 37}
Click here to see answer by Mike(39) About Me 

Question 6535: What describes the number and type of roots of the equation 4x^3 - 6x^2 + 15x + 2= 0?
Click here to see answer by khwang(438) About Me 

Question 6616:
hi
i want to ask that how can i find the sum of the equations like
1*+2*+......+n* where * = 2

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Question 6524: Where is the center of 25(x+5)^2 + 4(y-3)^2 = 100 ?
Click here to see answer by rapaljer(3622) About Me 

Question 7015: the 12th term of an arithmatic series is 42 and the sum of the first 17 terms is 51. find the common difference of the series and the first three terms.
Click here to see answer by longjonsilver(2297) About Me 

Question 8151: 1+1/2-1/4+1/8+......
Click here to see answer by longjonsilver(2297) About Me 

Question 8958: Identify the fifth term in the sequence in which a1= 243 and r=-1/3
Click here to see answer by longjonsilver(2297) About Me 

Question 9413: I have a question. I know the answer is 14, but I don't know how to put in in an equation to show how I came up with the answer.
I am a two-digit number. when I am multiplied by the sum of my digits, the result is 70. What number am I?

Click here to see answer by prince_abubu(198) About Me 

Question 9414: I have 5oo bills. some of them are $1.00, some are $100.00, and some are $500.00. When we are added together our result is $50,000.00. How many of each bills do I have.
Click here to see answer by rapaljer(3622) About Me 

Question 9823: Find the exact fraction value foe the number 0.123123123....... using series only.
Click here to see answer by longjonsilver(2297) About Me 

Question 10386: what is the next 2 terms?
9, 3, 1, 1/3, __, __

Click here to see answer by thecampusnerd(13) About Me 

Question 10615: find the sum of first n natural numbers
Click here to see answer by longjonsilver(2297) About Me 

Question 10923: 2.4=-A+(-5.1)
Click here to see answer by rapaljer(3622) About Me 

Question 13951: please help me solve this equation
3x^2-7=2(x^2+3)

Click here to see answer by rahman(247) About Me 

Question 13950: please help me solve this equation
3x^2-7=2(x^2+3)

Click here to see answer by rahman(247) About Me 

Question 13873: Represent the series using the sigma notation for summation
10(12)+11(13)+12(14)
I thought that the answer was: Start at 10 and end at 12 adding 2
x=10 with the 12 on top of the Sigma sign, x(x+2) is this correct?

Click here to see answer by longjonsilver(2297) About Me 

Question 14521: I need to solve by completing the square.
3x squared - 6x = 27
First I would move the 27 to the other side to get
3x squared-6x-27=0
a = 3
B = -6
C = -27
I am not sure what to do now.

Click here to see answer by Earlsdon(4900) About Me 

Question 14523: I need to find the distance between points P(-2,3) and Q(5,4)
Click here to see answer by rahman(247) About Me 

Question 16531: what is the limit as n approc. infinity of :
(n^3 + n^2)^(1/3) - n
i keep getting it to be divergent. however it isn't!

Click here to see answer by khwang(438) About Me 

Question 16518: How 1/(1+x)+1/((1+x)(1+x))+... = 1/x?

Click here to see answer by venugopalramana(3286) About Me 

Question 16682: b + 2 = 27 + 2b/ 3

Click here to see answer by elima(1433) About Me 

Question 21447: If 2 numbers have a product of 75, a quotient of 3, and a difference of 10, what's the sum of these 2 numbers?
Click here to see answer by venugopalramana(3286) About Me 

Question 22136: find the sum of the geometric series.
14 - 7 + 7/2 - 7/4 + ...

Click here to see answer by longjonsilver(2297) About Me 

Question 22134: form a sequence that has two arithmetic means between -2 and 58.
Click here to see answer by venugopalramana(3286) About Me 

Question 21580: could you please help me with this problem
Divide:

Click here to see answer by venugopalramana(3286) About Me 

Question 23368: Please help me on this problem. I will write it how it looks in my text book.The two jugs stood side by side on the shelf. One contained a solution that was 60% antiseptic, and the other contained a solution that was 90% antiseptic. How much of each should be used to get 50 milliliters of a solution that is 78% antiseptic?
Click here to see answer by Paul(988) About Me 
Question 23368: Please help me on this problem. I will write it how it looks in my text book.The two jugs stood side by side on the shelf. One contained a solution that was 60% antiseptic, and the other contained a solution that was 90% antiseptic. How much of each should be used to get 50 milliliters of a solution that is 78% antiseptic?
Click here to see answer by Earlsdon(4900) About Me 
Question 23368: Please help me on this problem. I will write it how it looks in my text book.The two jugs stood side by side on the shelf. One contained a solution that was 60% antiseptic, and the other contained a solution that was 90% antiseptic. How much of each should be used to get 50 milliliters of a solution that is 78% antiseptic?
Click here to see answer by stanbon(26297) About Me 

Question 23417: Find the first five (5) terms of the sequence (begin with n = 1).
A=n!/n^2
I still do not understand how to do this one.

Click here to see answer by rapaljer(3622) About Me 
Question 23417: Find the first five (5) terms of the sequence (begin with n = 1).
A=n!/n^2
I still do not understand how to do this one.

Click here to see answer by stanbon(26297) About Me 

Question 23459: 9x-64
Click here to see answer by rapaljer(3622) About Me 

Question 23805: FInd the sum of each infinte geomertric series if it exists.
10 + 1 + 0.1 + 0.01 +...

And can you please tell me how to did it. I am struggling with it.

Click here to see answer by Paul(988) About Me 

Question 25006: in a circle i have 8 numbers, a mystery number then 173, 268, 934, 252, 520, 89, and 311. What is the mystery number?
Click here to see answer by AnlytcPhil(958) About Me 

Question 25545: Ok, this is one that has baffled not only myself but my parents and boyfriend as well. This is a problem that no one seems to be able to figure out. Do you think you could help me?
A traveling salesman (selling shoes) stops at a farm in the Midwest. Before he could knock on the door, he noticed an old truck on fire. He rushed over and pulled a young lady out of the flaming truck. Farmer Brown came out and gratefully thanked the traveling salesman for saving his daughter's life. Mr. Brown insisted on giving the man an award for his heroism.
So, the salesman said," If you insist, I do not want much. Get your checkerboard and place one penny on the first square. Then place two pennies on the next square. Then place four pennies on the third square. Continue this until all 64 squares are covered with pennies." As he'd been saving pennies for over 25 years, Mr. Brown did not consider this much of an award, but soon realized he made a miscalculation on the amount of money involved.
How much money would Mr. Brown have to put on the 32nd square?
How much would the traveling salesman receive if the checkerboard only had 32 squares?
Calculate the amount of money necessary to fill the whole checkerboard (64 squares). How much money would the farmer need to give the salesman?

Click here to see answer by venugopalramana(3286) About Me 

Question 25541: I have an assignment due on arithmetic series of numbers. I have been studying my book and can't seem to figure out what I am supposed to do to make or solve the equations. Is there anyway you can help? Thank you in advance.
Use the arithmetic series of numbers 1,3,5,7,9,...to find the following:
What is d, the difference between any 2 numbers?
Using the formula for the nth term of an arithmetic series, what is 101st term?
Using the formula for the sum of an arithmetic series, what is the sum of the first 20 terms?
Using the formula for the sum of an arithmetic series, what is the sum of the first 30 terms?
What observation can you make about these sums of this series(HINT: It would be beneficial to find a few more sums like the sum of the first 2, then the first 3 etc.)?
I know it seems like a lot but it really is just one problem broken down into several sections. I have no idea how to so this so I would be VERY thankful for any help you can give me.

Click here to see answer by askmemath(368) About Me 

Question 21152: how do I, find the common diffrence in a term in a sequence

Click here to see answer by longjonsilver(2297) About Me 

Question 25943: What is the geometric notation for a parallel lie?
Click here to see answer by Earlsdon(4900) About Me 

Question 26238: I am very frustrated. I am working on geometric series of numbers and thought that it would be easy but, I have not done this in a while and I have to admit that I am perplexed. Here is what I must solve:
Use the geometric series of numbers 1, 2, 4, 8,...to find the following:
a) What is r, the ratio between 2 consecutive terms?
(I got r=1)
b) Using the formula for the nth term of a geometric series, what it the 24th term?
c) Using the formula for the sum of a geometric series, what is the sum of the first 10 terms?
Could you please help refresh my memory by showing me step by step how to complete this first set of problems? Thank you!!!!

Click here to see answer by stanbon(26297) About Me 
Question 26238: I am very frustrated. I am working on geometric series of numbers and thought that it would be easy but, I have not done this in a while and I have to admit that I am perplexed. Here is what I must solve:
Use the geometric series of numbers 1, 2, 4, 8,...to find the following:
a) What is r, the ratio between 2 consecutive terms?
(I got r=1)
b) Using the formula for the nth term of a geometric series, what it the 24th term?
c) Using the formula for the sum of a geometric series, what is the sum of the first 10 terms?
Could you please help refresh my memory by showing me step by step how to complete this first set of problems? Thank you!!!!

Click here to see answer by AnlytcPhil(958) 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