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

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Question 100069: Need rule for nth term - HELP!!!
Okay
1/2,3,11/2,8,21/2.... what is the rule for the nth term
d = -12 and a1 (1 is subscrpt) =80 - what is the rule for the nth term
not sure of my answers
Thanks

Click here to see answer by Adam(64)

Question 100428: Find three consecutive integers if twice the middle integer is equal to the sum of the first and the third.
Click here to see answer by checkley71(8403)

Question 100630: HELP PLEASE!!
What is the rule for the nth term :
d = -12 and a(subscript 1) = 80
Thanks very much
llo
Click here to see answer by stanbon(75887)

Question 100631: HELP
Need the sum of the series for:
10
E 2/1
i-2
Using E because I can't find the summation notation symbol!!
Help

Click here to see answer by scott8148(6628)

Question 100998: What is the probability of drawing a yellow marble or a red marble from a bag containing 12 yellow marbles, 16 red marbles, and 15 green marbles?

Click here to see answer by doukungfoo(195)

Question 100999: Find the 37th term of the sequence 2,5,8,11,14,...
Then make a series of the sequence in above problem and identify it as geometric or arithmetic.
Click here to see answer by stanbon(75887)

Question 101125: 1,3,5,7,9,11,13,15,17,19 these are 10 numbers and there sum is 100 select 5 from these numbers and there sum is 50
Click here to see answer by bucky(2189)

Question 101820: solve for x
3(x+4)=18
Click here to see answer by MathLover1(20850)

Question 101824: solve for x
3x+2(4x-8)=17
Click here to see answer by MathLover1(20850)

Question 101823: solve for x
3x+5=x+7
Click here to see answer by MathLover1(20850)

Question 101825: solve for x
2x+1 over 5 = x-6 over 2
Click here to see answer by doukungfoo(195)

Question 101819: x over 4 minus 5 equals 3, solve for x
Click here to see answer by elima(1433)

Question 101822: solve for x
5x+3-x-7=20
Click here to see answer by elima(1433)

Question 101976: Find the 37th term of the sequence 2,5,8,11,14,... My answer = 110
My question is that I need to make a sequence of the above problem and identify it as geometric or arithmetic.

Click here to see answer by stanbon(75887)

Question 102117: The following is my homework. I have no idea how to do it.:
44,37,30-find the 37th term and the pattern. Well the pattern is -7.
5,8,11-find the 28th term and the pattern. Well the pattern is +3.
3,6,12-find the 12th term and the pattern. Well the pattern is *2.
1 3/4,3 1/2, 7, 14-find the 15th term and the pattern. Well the pattern is *2.
Please help me!
Click here to see answer by stanbon(75887)

Question 102288: -3,5,-4,8,-6,10,-5
I need to find the sigma for this set of numbers
Thank you
Click here to see answer by stanbon(75887)

Question 102310: -12x+8>-16
Click here to see answer by edjones(8007)

Question 102345: I need help with the following problem:
In the following sequence, what could be the next term? 1, 4, 27, 256, ... why is it the next term?
Any explanation would be helpful.
Thanks in advance.
Click here to see answer by ankor@dixie-net.com(22740)

Question 102396: 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.
Click here to see answer by stanbon(75887)

Question 102503: what is the formula for finding the ratio beetween 2 numbers.
Click here to see answer by stanbon(75887)

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(6294)

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(6628)

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(75887)

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(75887)

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(75887)

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(75887)

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(20850)

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(6628)

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(32388)

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(24713)

Question 107351: 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 that
Click here to see answer by Fombitz(32388)

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(8403)

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(20850)

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(75887)

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(20056)

Question 109963: how would you figure out:
Click here to see answer by josmiceli(19441)

Question 109973: How would you figure out
Click here to see answer by stanbon(75887)

Question 110183: I cannot find the solution to -5, 10, -15, 20, ....
Click here to see answer by solver91311(24713)

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