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

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Algebra: Sequences of numbers, series and how to sum them

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Question 102396This question is from textbook Calulus: Single Variable
: I am given that a new car costs 30,000 and loses 14% of value each year and a old two-year car costs 300$ in repair and increases by 16% each subsequent year. Find the total cost of owning a new car for three year and find the total cost of owing a two-year old car for three years.This question is from textbook Calulus: Single Variable

Click here to see answer by stanbon(26297)

Question 102503: what is the formula for finding the ratio beetween 2 numbers.
Click here to see answer by stanbon(26297)

Question 102517: Please helpe me solve this math problem:
Cheryl is thirteen years more than twice as old as Brad. In 11 years the sum of thire ages will be 92. How old is Cheryl now?
Click here to see answer by Earlsdon(4900)

Question 102515: Please help me solve this math problem:
Tom is 3 times as old as Todd. In 4 years Tom's age will be 6 years more than 2 times as old as Todd. How old is Todd?

I've tryed using a Chart to slove this math problem. But it wasn't working out. Can you help me find an easyer way to slove it?
Click here to see answer by scott8148(3385)

Question 102758: 1.[A]the 18th term of an arithmetic progression is 25.find it 1st term if is common is 2? [b1]find the common ratio[b2]the 8th term [b3]nth term of the geometric progression
Click here to see answer by stanbon(26297)

Question 103087: Suppose a cell divides one time each minute. The number of cells over time:
TIME{MINUTES} 1 2 3 4 5 6 7
NUMBER OF CELLS 2 4 8 16 32 64 128
What is an algebraic expression for the number of cells in terms of the time t?
What is a numeric expression for the number of cells in terms of the time?----number of cells after 1 minute {2=?}, number after 2 minutes {4=?}, number of cells after 3 minutes {8=?}
Click here to see answer by stanbon(26297)

Question 104065: {1}find the sum of this geometric progression series 16+1\4+___as far as the 6th term????????{2}find the sum of this arithmetic progression 13.9+___+{-0.5}+{-2.1}+{-3.7}
Click here to see answer by stanbon(26297)

Question 104572: prove that:
Sum of n numbers in a sequence is n/2[2a+(n-1)d].
Click here to see answer by stanbon(26297)

Question 104572: prove that:
Sum of n numbers in a sequence is n/2[2a+(n-1)d].
Click here to see answer by TP(29)

Question 105132: Find the sum of the series
1x2 + 2x2^2 + 3x2^3 +...+ 100x2^100

Click here to see answer by MathLover1(1183)

Question 105713: Can you help with the following problems and thank you for your help.
1. -10 + (-3 - 5) =
2. 5 - (-8 + 7) =
3. (3 + -4) + 2 =
4. 9 + (3 - 7) =
5. 1 - (6 + 4)=
Click here to see answer by brandonpark2889(31)

Question 105923: Please help me
Find two numbers whose sum is 7 and whose product is 10
Click here to see answer by scott8148(3385)

Question 106082: find the composition function
Let f(x) = log(x^2-5) and let g(x) = x+6. Find the composite finctions, f[g(x)] and g[f(x)]
Click here to see answer by Fombitz(2113)

Question 106469: I would to solve this problem that I am stuck on the problem is sequences 2,6,8,14 I need to know the next three numbers in the pattern.

Thank You
Click here to see answer by solver91311(5072)

Question 107351This question is from textbook precalculus
: the directions of the textbook say write an expression for the apparent nth term of the sequence.( assume that n begiins with 1)
and for 43. it has the numbers 0, 3, 8, 15, 24
how would you do thatThis question is from textbook precalculus

Click here to see answer by Fombitz(2113)

Question 107853: Could someone please explain to me how to find an algebraic expression to calculate the nth term of the following sequence?:
2, 5, 11, 23, 47, 95, 191
I know that the equation to continue the series is 2x+1, but I've tried for 2 hours to figure out an equation for the nth term, and all I've gotten is frustrated!
Thanks so much for any help!!
Click here to see answer by checkley71(8405)

Question 109026: FIND THE MEAN AND THE MEDIAN OF THE FOLLOWING SET OF NUMBERS:
-10, -4, 5, 9, 11, 13
THANKS
JMS
Click here to see answer by MathLover1(1183)

Question 109494: a group of 100 people have the blood types A20 B24 AB10 O46. If 1 person is selected at random what is the probability that the person has type AB blood : the person has either thype A of type O blood : the person does not have type B blood : the person has neither thype B nor type O blood ?
Click here to see answer by stanbon(26297)

Question 109830: A reboncing ball rebounces each time to a height equal to one half the height of the previous bounce. If it is dropped from a height of 16 mtrs. find the total distance it has travelled when it hits ground for the 10th time.
Click here to see answer by Edwin McCravy(2922)

Question 109963: how would you figure out:
Click here to see answer by josmiceli(3013)

Question 109973: How would you figure out
Click here to see answer by stanbon(26297)

Question 110183This question is from textbook Algebra II Tennessee Edition
: I cannot find the solution to -5, 10, -15, 20, ....This question is from textbook Algebra II Tennessee Edition

Click here to see answer by solver91311(5072)

Question 110553: solve the system use the substitution method
2x-y-z=15
4x+5y+2z=10
-x-4y+3z=-20
please help don't understand it
Click here to see answer by ankor@dixie-net.com(6693)

Question 111933: what are the different types of sequence?
Click here to see answer by jim_thompson5910(13794)

Question 112706: Find the sum of the infinite geometric series:
.8+.08+.008
please help! thanks! <3
Click here to see answer by Fombitz(2113)

Question 114295This question is from textbook Algebra and Trigonometry Structure and Method Book 2

: Find the specified term of each geometric sequence.
t3 = -12
t6 = 96
t9 = ?
Find t9.
So what I did was, tn = t1 * R^n-1
So, I thought I could make t3 the first term and t6 the nth term, to find the common ratio.
96= -12 * R^6-1
96= -12 * R^5
-8 = R^5
Now I'm stuck. This question is from textbook Algebra and Trigonometry Structure and Method Book 2

Click here to see answer by scott8148(3385)

Question 114606: Find two consecutive integers such that the sum of 2 times the first integer and 7 times second integer is 88.
Click here to see answer by jgr45(22)

Question 114715: Write the equation of the line that passes through point (6,4) with a slope of 2.
Click here to see answer by MathLover1(1183)

Question 115067:
Find the sum of 11 over 2 + 3 5 over eight

Thank You
Alice
Click here to see answer by checkley71(8405)

Question 115066: Find the sum of 11 over 2 + 3 5 over eight
Thank You
Alice
Click here to see answer by stanbon(26297)

Question 115576: I am very frustrated! I am doing a piece of coursework and have discovered a changing difference pattern. Could someone please explain to me how to apply it and simplify it for my own results. I know the algebraic expression for a changing difference sequence is: a + (n-1)d + half(n-1)(n-2)c
a = value of first term in sequence
d = first difference between the first two numbers
c = is the change between one difference and the next
a = 481
d = 600
c = 240
Changing Difference Sequence:

481, 1081, 1921, 3001, 4321 Sequence
600 840 1080 1320 first difference
240 240 240 Second difference
I have tried for several hours to figure it out for my own results but have just got frustrated. I need to solve the nth term formula for this changing difference sequence to move on with my coursework. Thank you so much for any help!

Click here to see answer by stanbon(26297)

Question 116640This question is from textbook Mc Dougal Littel Algebra 2
: Give the recursive formula for the series 4,16,64...This question is from textbook Mc Dougal Littel Algebra 2

Click here to see answer by Edwin McCravy(2922)

Question 116644This question is from textbook
: Write the explicit formula for the sequence 3, 12, 48, 192,...This question is from textbook

Click here to see answer by scott8148(3385)

Question 116982This question is from textbook

: This is a homework problem that I cannot seem to solve. It states to:
Find the sum of the first 20 terms of the series
1 + 8 + 64 + 512 + . . .
Can you please help? Thank you in advance.This question is from textbook

Click here to see answer by jim_thompson5910(13794)

Question 117027This question is from textbook

: I need help finding the first three(3) terms of the expansion (a-b)^10.
I have something that does not seem to make sense. I have a^10 + 10a^9 (-b), or a^10 -10a^9b + 45a^8b^2. I am not even sure how I got this or even if it is right. Please help me, again the problem is (a-b)^10 Thanks so muchThis question is from textbook

Click here to see answer by scott8148(3385)

Question 117289: hello unfortunatly I can't figure out this word problem and i REALLY need help!
A Pythagorean fractal tree starts at Stage 1 with a square of side length 1m. At every consecutive stage, an isoceles right triangle and two squares are attached to the last square(s) drawn. Determine the total area at the 10th stage and the 100th stage. Determine the general term and make conclusions.

Click here to see answer by MathLover1(1183)

Question 117570: linear combinations?????
i don't understand any of this i'm not looking for the answer as i know it but i'm looking for step by step help with the work. plus they have added THREE variables now and i didn't even understand two so please help me.
4x + y = -12
2x + 2y = -15? (answer -1.5, -6)then with THREE 2a + b =5c = -21
a + 2b - 2c = -15
a - 4b + c = 18 (answer -1, -4, 3
Click here to see answer by solver91311(5072)

Question 117897: Not even sure i put this under the right heading. (sigh)...i need help please
Subtract -2.3-(-8.8)
a) -11.1
b) 1.3
c) -1.3
d) 6.5
Click here to see answer by Earlsdon(4900)

Question 117897: Not even sure i put this under the right heading. (sigh)...i need help please
Subtract -2.3-(-8.8)
a) -11.1
b) 1.3
c) -1.3
d) 6.5
Click here to see answer by TP(29)

Question 117354: Find the sum of the series
1 + 2x + 3x^2 + 4x^3 ...
I cannot understand how to find the ratio
Like
1 + 2x + 3x^2 + 4x^3 ...
--\/---\/-------\/--------
--2x---1.5x---1.33x
Now what?
Click here to see answer by Edwin McCravy(2922)

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