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

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Question 161822This question is from textbook Algebra 1
: Please can you help me with Arithmetic Sequences because I don't know how to
do it. The problem say determine whether each sequence is an arithmetic
sequence. If it is, state the common difference.
The problem is 18,24,30,36,....
Thanks for your help because I don't get how to do it so if you help me out to
were I can do it on my own then thanks a lot.It's on page 236 my teacher wants
me to do all the even numbers on the practice and apply.
This question is from textbook Algebra 1

Click here to see answer by Mariah24(4) About Me 

Question 161819This question is from textbook Algebra 1
: Please can you help me with Arithmetic Sequences because I don't know how to
do it. The problem say determine whether each sequence is an arithmetic
sequence. If it is, state the common difference.
The problem is 2.1,4.2,8.4,17.6,....
Thanks for your help because I don't get how to do it so if you help me out to
were I can do it on my own then thanks a lot.It's on page 236 my teacher wants
me to do all the even numbers on the practice and apply.
This question is from textbook Algebra 1

Click here to see answer by checkley77(7072) About Me 
Question 161819This question is from textbook Algebra 1
: Please can you help me with Arithmetic Sequences because I don't know how to
do it. The problem say determine whether each sequence is an arithmetic
sequence. If it is, state the common difference.
The problem is 2.1,4.2,8.4,17.6,....
Thanks for your help because I don't get how to do it so if you help me out to
were I can do it on my own then thanks a lot.It's on page 236 my teacher wants
me to do all the even numbers on the practice and apply.
This question is from textbook Algebra 1

Click here to see answer by Mariah24(4) About Me 

Question 161829This question is from textbook Algebra 1
: Please can you help me with Arithmetic Sequences because I don't know how to
do it. The problem say determine whether each sequence is an arithmetic
sequence. If it is, state the common difference.
The problem is 7/12,1_1/3,2_1/12,2_5/6,....
Thanks for your help because I don't get how to do it so if you help me out to
were I can do it on my own then thanks a lot.It's on page 236 my teacher wants
me to do all the even numbers on the practice and apply.
An arithmetic sequence happens when the difference between successive terms is always the same (i.e. you get the next terms by adding or subtracting the same number to the previous one)
Quick example 1, 7, 13, 19
1+6=7+6=13+6=19....in this case the common difference is 6
Now in your situation you want to see if the numbers in your sequence are increasing by the same number.
1. When dealing with fractions and mixed numbers it is always a good idea to change mixed numbers to improper fractions
2. When dealing with fractions and arithmetic sequences you should first make sure all fraction have the same denominator...
1st term: 7/12
2nd term: 1_1/3=4/3 * (4/4)=16/12
3rd term: 2_1/12=25/12
4th term: 2_5/6=17/6 * (2/2)=34/12
Now find the difference between the 2nd term and 1st term: 16/12 - 7/12 = 9/12
Find the difference between the 3rd term and the 2nd term: 25/12 - 16/12= 9/12
And the difference between the 4th term and 3rd term is also 9/12
Therefore, the sequence is arithmetic and the common difference is 9/12
This question is from textbook Algebra 1

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Question 162259: 5y-7/2+4x-3/6=18-5x
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Question 163437This question is from textbook College Algebra
: Three solutions to the equation Ax-By-Cz-5=0 are (2,4,-1),(3,6,-2), and(-2,-9,-4). Find C.This question is from textbook College Algebra

Click here to see answer by Edwin McCravy(2922) About Me 

Question 164048: i realy need a little help with this:
1+2+3+4+5+6...... find the sum of the 20th term?

Click here to see answer by Alan3354(6097) About Me 

Question 164324: how many 1's are between the numbers 1-500 ? I have tried to rite down all the numbers that have the number 1 in them and i came up with 150. Am I rite ? I am in 5th grade and this is for a study guide for a math tournament .
Click here to see answer by Fombitz(2113) About Me 

Question 164464: I need help figuring out the next number in this sequence. the problem is... 3;9;81;6;561
Click here to see answer by checkley77(7072) About Me 

Question 164633: i have this question t(n)=4n-3 and it says write down the first five terms of the sequence. i do not understand how to find the terms of this sequence.
Click here to see answer by scott8148(3385) About Me 

Question 165152: calculate the 12th term using the formula 2-5a
Click here to see answer by Edwin McCravy(2922) About Me 

Question 165484: 1,2,4,8,16,32,64,128... Find the 24th term
Click here to see answer by stanbon(26297) About Me 

Question 165495: I need a little help!!
Find the sum of the first 20 terms of this series
1 + 8 + 64 + 512 . . . .
I figured out this is a geometric series with a ratio of 8.
The formula I'm using is Sn=t1(1-r^n)/1-r
This is what I have so far S20=1(1-(8)^20)/1-8
Is this right so far? And what do I do with the -7 as a denominator?

Click here to see answer by Alan3354(6097) About Me 

Question 165715: mary has 36 bill in her piers, 10 bills and 20 bills in total 460 dollars,
how many 10 and 20 bills are in her piers

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Question 166043: COMPLETE THE ORDERED PAIRS:
2X+3Y=7
(0, ) (2, ) ( ,3)

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Question 166155: How to derive Nth term of the following series?
1,3,6,10,15,21.........upto n terms 25!!!!!!!!!!!!!!!!!!!!!!!!!

Click here to see answer by 35qt(1) About Me 
Question 166155: How to derive Nth term of the following series?
1,3,6,10,15,21.........upto n terms 25!!!!!!!!!!!!!!!!!!!!!!!!!

Click here to see answer by Fombitz(2113) About Me 

Question 166647: you are building an addition on to your house. you only have enough money to buy 70 feet or exterior building materials. one side will be against the original house, so you only have to have materials for 3 sides. what would be the dimensions of the additon needed to give the maximim area? the is the maximum area?

thank you i really need help

Click here to see answer by ankor@dixie-net.com(6693) About Me 

Question 166889: Two numbers have a difference of 10 and the sum of 34. What are the numbers?
Click here to see answer by checkley77(7072) About Me 

Question 167753: Miku and John began biking from the same place on the same road, heading in the same direction. Each day, Miku bikes 25 miles. John bikes 5 miles the first day, 8 miles the second day and so on. Each day, biking three more miles than he biked the previous day. If they began on July 1, on waht date did John passed Miku?
I got the answer with a table but i dont know how to show it into algebraic equation.
How do you change John's pattern into an equation?
5,13,24,38,56,76,99,125...........
My work so far:
Miku= 25x x = days
John= 5+(5+3)+(5+3+3)+(5+3+3+3).....
5x+???= nth term

so far, the only part of the equation ive figured out is the 5x....
though i think that there should be a disributive property in the equation.
Im really confused and have been working this problem for hours.
I really need help.

Click here to see answer by scott8148(3385) About Me 

Question 168611This question is from textbook
: What is the sum of all multiples of 6 that are strictly between 3128 and 51804?This question is from textbook

Click here to see answer by jim_thompson5910(13794) About Me 

Question 168807: Cell Division: One leukemic cell injected into a healthy mouse will divide into two cells in about 1/2 day. At the end of the day these two cells will divide again, with the doubling process continuing each 1/2 until there are 1 billion cells, at which time the mouse dies. On which day after the experiment is started does this happen?
I'm having a horrible time coming up with a formula for this problem.
I would appreciate any help you can give me on this one.
Thank you so much, ahead of time!

Click here to see answer by Alan3354(6097) About Me 

Question 169218: Have trouble understanding sequences, can anyone give assistance?
Find ratio, r, the general term, a(base-n), and a(base-11)
2,-6,18,-54,162,...

Click here to see answer by Mathtut(3670) About Me 

Question 169219: How do I find the next two terms of geometric sequence 6250, 5000, 4000,...
and also how do I find four geometric means between 4096 and 972. I must show my work and don't know how to do these.
Please help.
Thanks

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Question 169224: I need to find a counterexample to the statement 4^n+1 is divisible by 5. Can someone please show me how to do this.
Thanks

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Question 169216: Don't understand sequences, can anyone help?
Evaluate this sum:
S= 15 + 9 + 27/5 + 81/25 +.......

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Question 169349: Can someone please help. I am lost on how to start this problem.
Find the sum of the infinite geometric series 36+12+16+...if it exists.
I have to show my work and don't know where to begin.
Thanks.

Click here to see answer by Alan3354(6097) About Me 

Question 169539: Three consecutive odd integers are such that the square of the third is 264 more than the square of the second. Find the three integers.
Click here to see answer by Mathtut(3670) About Me 
Question 169539: Three consecutive odd integers are such that the square of the third is 264 more than the square of the second. Find the three integers.
Click here to see answer by Edwin McCravy(2922) About Me 

Question 169556: Show me how to solve and reprent my solution on a number line

Also show me how to solve, graph and check the following
please
7m+5m-7-18m<3+12m-16
4p+2(p+7)<8

Click here to see answer by Edwin McCravy(2922) About Me 

Question 169809: my teacher gave me a homework about sequences.He told us to find the rule between



1,3,6,10,15,21,can you show the working please and i have to sumit it today.ISBN ACTIVE MATHEMATICS 2 PG 44 EXERCISE 6

Click here to see answer by jim_thompson5910(13794) About Me 

Question 169220: Please help
Find the sum of the infinite geometric series 36+24+16+...if it exists.
I must show my work and am lost.
Thanks

Click here to see answer by chiefman(11) About Me 

Question 169997: The question I need help with is of a systems of equations. Here is the question.

y=-x+2
x+2y=6
_______
SOLVE WITH PROCESS OF ELIMINATION PLEASE!
Thank u.

Click here to see answer by jim_thompson5910(13794) About Me 

Question 170325: Use mathematical induction to prove: 4^n+1 + 5^2n-1 is divisible by 21
Click here to see answer by jim_thompson5910(13794) About Me 
Question 170325: Use mathematical induction to prove: 4^n+1 + 5^2n-1 is divisible by 21
Click here to see answer by Edwin McCravy(2922) About Me 

Question 171173: Will someone please help me. I don't know where to begin on this problem. I have to show all my work.
Find Sn for the arithmetic series in which A1=-11, An=13, and n=7.
I have a big test later today and really need help.
Thanks

Click here to see answer by monika_p(55) About Me 

Question 171192: Find the first five terms of the sequence for which A1=5 and An+1=3An+1
I'm not sure if I started this right. 3(5)+1=16
Is this right? Could you please explain how to do this problem.
Thanks

Click here to see answer by oscargut(682) About Me 

Question 171175: Can someone please show me how to do this problem
Prove that the statement: 1/5+1/5^2+1/5^3+...+1/5^n=1/491-1/5^n) is true for all positive integers n. Show all your work
PLEASE HELP!!!!!
Thanks

Click here to see answer by oscargut(682) About Me 

Question 171355This question is from textbook Algebra 1
: Simplify:
-2[(-3+2)(-3+1)]
-----------------
-4-1 - (-1)
This question is from textbook Algebra 1

Click here to see answer by jim_thompson5910(13794) About Me 
Question 171355This question is from textbook Algebra 1
: Simplify:
-2[(-3+2)(-3+1)]
-----------------
-4-1 - (-1)
This question is from textbook Algebra 1

Click here to see answer by Alan3354(6097) About Me 

Question 171411: In the following algebraic consequences, n represents the position of a term in a sequence. Find the first five terms.
5n
3n + 2
7n - 4

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Question 171948: My boyfriend and I were making up Algebra problems during a boring convention meal and ended up getting four different answers to this one. It seems we have forgotten the Order of Operations. (It's been a few years since either one of us was in school.) What is the solution to this equation? And, what is the order of operations?
7/4(6+6+6) = 30*4/3(5-6)X
Thank You;
Brenda and Lee

Click here to see answer by edjones(3298) About Me 
Question 171948: My boyfriend and I were making up Algebra problems during a boring convention meal and ended up getting four different answers to this one. It seems we have forgotten the Order of Operations. (It's been a few years since either one of us was in school.) What is the solution to this equation? And, what is the order of operations?
7/4(6+6+6) = 30*4/3(5-6)X
Thank You;
Brenda and Lee

Click here to see answer by Mathtut(3670) About Me 

Question 172619: find the sum of the geometric series
1 + (1/2) + (1/4) + (1/8) + (1/16) + ....

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

Question 172614: find the first four terms in the geometric sequence with the initial term -1 and common ratio r=3
a. -1,-3,-9, -27
b. -1, 2, 5, 8
c. 3, 2,1, 0
d. 3, -3, 3, -3
show all work

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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