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

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

Question 855147: given the functions f(n) =11 and g(n)=-2(n-1) combine them to create an arithmetic sequence, an n solve for the 31st term
an=11-2(n-1); a31=-49
an=11-2(n-1); a31=-51
an=11+2(n-1);a31=71
an=11+2(n-1);a31=73
Click here to see answer by richwmiller(17219)

Question 853131: A ball is dropped from a height of 40 feet and bounces back 90% of its previous height on each successive bounce. How far will the ball have traveled by the time it comes to a stop?
i got the equation: a sub n = 40(1-.9^n/.1)
i do not know how to find n or if this is even the right equation
Click here to see answer by richwmiller(17219)

Question 855241: Find the product ALGEBRA, where each different letter of ALGEBRA equals to
a different digit.
A+1/(L+1/(G+1/(E+1/(B+1/(R+1/A)))))=4866/1321

Click here to see answer by Edwin McCravy(20056)

Question 854334: For any integer n > 1, nth term = 1000^n / n! . Then the sequence {nth term}
(A) does not have a maximum
(B) attains maximum at exactly one value of n
(C) attains maximum at exactly two values of n
(d) attains maximum for infinitely many values of n
Click here to see answer by Edwin McCravy(20056)

Question 852459: 22,59,120,_,358.
What is the missing number in the blank and how do we create a c++ program for this problem using virtual function??
Click here to see answer by Edwin McCravy(20056)

Question 854053: If you start traveling at 60 mph and you reduce your speed by 1 mph every minute how long will it take you to travel 60 miles
Click here to see answer by richwmiller(17219)

Question 855404: The first term of an arithmetic series is 2. The 10th term is 61. Calculate s10.
Click here to see answer by reviewermath(1029)

Question 855400: Write the rule for this table as an equation.
h x
7 109
8 134
9 159
10 184
Write your answer as an equation with x first, followed by an equals sign.

Click here to see answer by josgarithmetic(39618)

Question 855460: how do I solve this question
An arithmetic progression is a sequence of numbers whose nth term is given by a + (n - 1)d for some a and d. The sequence of numbers below form an arithmetic progression. 3, 7, 11, 15, 19, ... Which values of a and d lead to this sequence of numbers?
Select one:

A. a = 3 and d = 4
B. a = 4 and d = 3
C. a = 3 and d = 7
D. a = 7 and d = 3
Click here to see answer by richwmiller(17219)

Question 855477: write a formula connecting the pairs of letter if the table+
b=5 6 7 8
h=15 19 23 27

Click here to see answer by Alan3354(69443)

Question 855486: The sixth term of an AP is 37 and the tenth term 53.Find the first term.
Click here to see answer by KMST(5328)

Question 855491: The sixth term of an AP is 37 an the tenth term 53.Find the sum of the first twenty terms.
Click here to see answer by KMST(5328)

Question 855498: The fiveth and tenth terms of an AP are 12ft and 27ft respectively.Find the AP and is 15th
term
Click here to see answer by ramkikk66(644)

Question 855496: The term of an AP is 37 and the tenth term 53.Find sum of the twenty terms
Click here to see answer by ewatrrr(24785)

Question 855716: A sequence of numbers is given below.
r, 72, 64, 56, 48, s �
(a) Find the values of r and s.
(b) Write down an expression for the nth term of the sequence.
(c) Write down the first negative term.
Click here to see answer by josgarithmetic(39618)

Question 855825: If x+3,3x-4,2x+4 are in AP.Find the valve of x.
Click here to see answer by richwmiller(17219)

Question 855822: Insert 4 arithmetic means between -11. And 19
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Question 855803: In an arithmetic series the sum of T2 + T5 is 18. The 6th Term is greater than the third by 9.
Find the 1st Term and common difference.

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Question 855500: Insert 4 arithmetic means between -11 and 19
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Question 855893: what is the 40th number in this set of numbers
4,9,14,19
Click here to see answer by ewatrrr(24785)

Question 855893: what is the 40th number in this set of numbers
4,9,14,19
Click here to see answer by richwmiller(17219)

Question 856029: The sum of the seven terms of an AP is 98 and the sum of the first twenty terms.
Click here to see answer by grishma.kshatriya(27)

Question 856032: Given that x-1,2x+5,8x-1 are three consecutive terms of a GP. Find possible value of x and the common ratio of the progression
Click here to see answer by richwmiller(17219)

Question 856028: If x+3,3x-4 are in AP. Find the value of x

Click here to see answer by richwmiller(17219)

Question 856053: Parallel algebra question.
X = 1, 2, 3, 4, 8, 10
Y = 2, 3, 5, 7, ?, ?
Any thoughts as to what ? equals and what algebra would be used to get this please?
Click here to see answer by Edwin McCravy(20056)

Question 855053: Find t sub n if t sub 3 is equal to 15 and t sub 8 is equal to 50
Click here to see answer by Edwin McCravy(20056)

Question 854477: 7, 21, 8, 72, 9, ? What completes the sequence 81 243 123 136

Click here to see answer by Edwin McCravy(20056)

Question 851500: find the three digit number whose digits are in GP and and the digits of a number that is 400 smaller are in AP.
Click here to see answer by Edwin McCravy(20056)

Question 856103: This is a question on my study guide for my test and I don't know how to solve this. If I can't figure this out, then I might fail my test. Please help me! I would greatly appreciate it.
The population of a local species of dragonfly can be found using an infinite geometric series where a1 = 36 and the common ratio is 1/2. Write the sum in sigma notation and calculate the sum that will be the upper limit of this population.
Click here to see answer by ewatrrr(24785)

Question 850717: Rewrite the following series in summation notation
7 + 12 + 17 + 22 + 27 + 32

Click here to see answer by Edwin McCravy(20056)

Question 856124: Insert four geometric means between 1/8 and 4
Click here to see answer by richwmiller(17219)

Question 855042: What is Sn of the geometric series with a1=3, an=-38, and n=8?
A) -178
B)-102
C)-140
D) -280

Click here to see answer by richwmiller(17219)

Question 856145: This was a question on a practice test that I got wrong and I am not sure what I did wrong. Can you please explain to me how to solve this? It would mean a great deal to me!!
What is the sum of the arithmetic sequence 8, 14, 20 �, if there are 22 terms?
Click here to see answer by ewatrrr(24785)

Question 854543: What is Sn for the arithmetic series with the d= -4,An=27 and n=9?
A)418 B)360 C)451 D)387
Click here to see answer by richwmiller(17219)

Question 852154: 42266, 22377 what group of numbers comes next?
Click here to see answer by Edwin McCravy(20056)

Question 856210: Can you please tell me how to solve this? I am doing a practice before the actual test to make sure I know all of the material and there have been a lot of these and I don't know how to do them. I had to guess on the others.
What is the 25th term of the arithmetic sequence where a1 = 8 and a9 = 48?
Click here to see answer by richwmiller(17219)

Question 856229: The sum of the first 7 terms of an A.P is 28 and the sum of the first 15 terms is 90. Find the sum of the n term
Click here to see answer by richwmiller(17219)

Question 856175: What is the sum of the geometric sequence 4, 16, 64, � if there are 8 terms?
I think I have to use the formula Sn=(n/2)times(2a_1 + (n-1) times d). I know I would find d by subtracting 16-4 which is 12, and then to double check it, I would do 64-16 which is 48. So I don't have d. I know there is a pattern between the numbers though. After 64, it would be 96, then 192. You are multiplying by 2 each time. Can you please help me figure out how to solve this?
Click here to see answer by richwmiller(17219)

Question 856215: Can you please help me out with this? This is very difficult for me. I understand that the pattern between the numbers is that you are squaring the number each time, but that only makes it harder for me to solve. I don't know where to begin. Can you please explain how solve this problem? I would REALLY appreciate it!!
What is the sum of the geometric sequence 4, 16, 64, � if there are 8 terms?
Click here to see answer by richwmiller(17219)

Question 856225: In a Swiss village there are 33 families. Each family owns at least 1 car, but none of them own more than 3 cars. Knowing that the number of famlies who own 1 car is the same as the number of families who own 3, how many cars are there in the village? I really don't get this equation. My friend said the answer is 33 cars, however i really don't think this is right, and if it is I don't get how u come to such answer! Please let me know! thankss :)
Click here to see answer by richwmiller(17219)

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