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

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Question 150240: Im stuck on this problem. Please help me by showing all the steps and equation. I know the answer is A. -1/8, but i don't know how the problem is solved. Please help me. Thank you!
1. What is the next term in the geometric sequence 16, –4, 1, – 1/4 ,... ?
A. –1/8
B. 0
C. 1/16
D. 1/8
E. 1/2

Click here to see answer by mangopeeler07(450) About Me 

Question 150405This question is from textbook
: find the common ratio for each sequence
A 100, 150, 225, 337.5, 506.25
This question is from textbook

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

Question 150663: An infinite geometric sequence has 1 and 1/5 as its first two terms: 1 1/5 1/25 1/125..... what is the sum,s, of the infinite series?
Click here to see answer by oscargut(682) About Me 

Question 151887: Could I please get someone to varify my answer?
SUM8(-0.5i+2)
i=1
After coming up with the equation 8/2(2+(-2)), I got (0) as my answer. Is this correct? Sorry about the equation, I was not sure how to type it all and I hope you can figure it out.

Click here to see answer by nabla(412) About Me 

Question 151997: Could someone please help me solve this word problem dealing with number sequences?
A graphic artist makes $20000 his first year and gets $500 raise each year. Compute his total salary and mean annual salary for 20 years of work.

Click here to see answer by mangopeeler07(450) About Me 
Question 151997: Could someone please help me solve this word problem dealing with number sequences?
A graphic artist makes $20000 his first year and gets $500 raise each year. Compute his total salary and mean annual salary for 20 years of work.

Click here to see answer by jojo14344(1483) About Me 

Question 152219: I really could use some help with this problem.
(SUM 14)(-0.4i+4)
i=1
I would appreciate any help that I can get.

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

Question 152799: E^(3 ln x) simplify
Click here to see answer by orca(409) About Me 

Question 153071: -4x - x - 3(x - 2) = 4 - (x - 2)
Click here to see answer by checkley77(7072) About Me 

Question 153361: Can you please help me expand this set of numbers?
6x(2x-7)

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

Question 153362: Can you please help me expand this set of numbers?
(3x-5)(2x+7)

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Question 153362: Can you please help me expand this set of numbers?
(3x-5)(2x+7)

Click here to see answer by Edwin McCravy(2922) About Me 
Question 153362: Can you please help me expand this set of numbers?
(3x-5)(2x+7)

Click here to see answer by Electrified_Levi(103) About Me 

Question 153919: 5 + 5/6 + 5/6^2 + 5/6^3+...
find the sum of the infinite geometric equation

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

Question 153917:
Click here to see answer by checkley77(7072) About Me 
Question 153917:
Click here to see answer by Edwin McCravy(2922) About Me 

Question 153978: -3,-24,-81,-192,_,_,_
What are the next three numbers in the sequence and how did you get them?

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Question 154076: what would be the next number in this series? 1,4096,531441,16777216,244140625 Thanks for your help!
Click here to see answer by orca(409) About Me 

Question 154292: What number is next in the series? 10,4,3,11,15...
Click here to see answer by Edwin McCravy(2922) About Me 

Question 154471: find equation of parabola whose axis is x+2=0,directrix is y-4=0,latus rectum=6 and concativity towards positive direction of y axis?
Click here to see answer by Edwin McCravy(2922) About Me 

Question 154772: 25 team members shake hands. how many handshakes take place?hint look at the pattern people = 2,3,4,5 handshakes= 1,3,6,10 can you please help?
Click here to see answer by stanbon(26297) About Me 

Question 155130: I need to know what number comes next in this sequence and why.
9,73,241,561,1081,1849,_?__

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Question 155130: I need to know what number comes next in this sequence and why.
9,73,241,561,1081,1849,_?__

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

Question 155470: 3,0,4,2,8
what comes next?

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Question 155500: What is the sequence patten and identify the sequences as arithmetic, geometric , or neither.
1. 3,6,12,24,...
2. 1,3,5,7,...
3. 1,2,6,24,...
4. 0,7,14,21,...

Click here to see answer by vleith(1977) About Me 
Question 155500: What is the sequence patten and identify the sequences as arithmetic, geometric , or neither.
1. 3,6,12,24,...
2. 1,3,5,7,...
3. 1,2,6,24,...
4. 0,7,14,21,...

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

Question 156348: Trying to find the series for my son's "Chicago Math" 7th grade class. It's an exponetial series with the following (x,y) points (1,1), (2,3), (3,6), (4,10), (nth,?).
Help if you can, Thanks!

Click here to see answer by stanbon(26297) About Me 
Question 156348: Trying to find the series for my son's "Chicago Math" 7th grade class. It's an exponetial series with the following (x,y) points (1,1), (2,3), (3,6), (4,10), (nth,?).
Help if you can, Thanks!

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

Question 157604: The angles of a rectangular triangle are the terms of an arithmetic sequence. Calculate these angles.
Click here to see answer by checkley77(7072) About Me 

Question 152401This question is from textbook Algebra 2
: I need help with my math ASAP!. My teacher sucks at teacher algebra 2!. so if you can place help me that would be great.This question is from textbook Algebra 2

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

Question 157709: The angles of a rectangular triangle are the terms of an arithmetic sequence. Calculate these angles.
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Question 154683: Homework Options

A. 45 minutes a day (180 days)
B. 1 second a day, then double the seconds everyday for 30 days. Then no more for the rest of the year.
Which option is better a or b?
180x45=8100 minutes/60=135 hours

i cannot find out how to get option b

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

Question 158587: im confused on how rto wokr this sequence out
0,14, 52, 126, 248
i have tried n cubed but cannot find the answer?

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

Question 159126: an arithmetic sequence has t(8)=1056and t(13)=116. What is t(5)
Click here to see answer by Alan3354(6097) About Me 

Question 159834: 2m^4 - 2mn^3
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Question 160195: If Steven can mix 20 drinks in 5 min, Sue can mix 20 drinks in 10 min, and Jack can mix drinks in 15 min. How much time will it take all 3 of them working together to mix the 20 drinks?
The answer is 2 min and 44 seconds, but I don't know how.

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Question 161137This question is from textbook crossing the river with dogs,problem solving for college students
: rita has two more than three times the number of baseball cards then ben has. if rita gave ben 12 card,they would have the same number of cards. how many cards did rita start with?This question is from textbook crossing the river with dogs,problem solving for college students

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Question 161213: solve this problem please...what is the next sequence-- 1,2,6,42,1806,...
Click here to see answer by vleith(1977) About Me 

Question 161287: Find the first 10 terms of each sequence:
An=An-1+2xAn-2
A1 = 1 A2 = 5

Click here to see answer by vleith(1977) About Me 

Question 161556This question is from textbook Arithmetic Sequences
: 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 10,12,15,18,....
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 Arithmetic Sequences

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

Question 161554This question is from textbook Arithmetic Sequences
: 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 17,6,5,4,....
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 Arithmetic Sequences

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

Question 161612: Please help my 7th grade son figure out how to answer the following:
determine the general term for the following sequence:
1, 2/5, 1/3, 4/13, 5/17, .....
we figured out the differences and got: .6, 0.66, .03, .01 (decreases at a variable rate) please help!!!!!

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

Question 161818This 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 -15,-11,-7,-3,....
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 scott8148(3385) About Me 

Question 161823This 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 -31,-22,-13,-4,....
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 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 checkley77(7072) 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