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

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Question 248092: Solve:
x^2-y^2=36
x^2-y^2=36

Click here to see answer by stanbon(75887) About Me 

Question 248205: One number exceeds another by 29. The sum of the numbers is 67. What are the numbers?
Click here to see answer by richwmiller(17219) About Me 

Question 248240: Find the third, sixth and eighth terms of the sequence A(n) = 6 + (n - 1)(-2). Step by step please, how do I get there ?
Click here to see answer by stanbon(75887) About Me 

Question 248545: Find the sum 1+ 1/2+1/4+...+1/1024
an=1+(n-1) ^ -1/2

Click here to see answer by edjones(8007) About Me 

Question 248800: I have a problem with sequence and series and I do not understand how to solve it. The questions is -6, 18, -54
Click here to see answer by edjones(8007) About Me 

Question 250360: Trying out one of these fibonacci sequences and it's bugging me to death because I can not figure it out. The sequence is 1, 8, 27, 64, . . . Any help would be much appreciated, thanks! :)
Click here to see answer by richwmiller(17219) About Me 
Question 250360: Trying out one of these fibonacci sequences and it's bugging me to death because I can not figure it out. The sequence is 1, 8, 27, 64, . . . Any help would be much appreciated, thanks! :)
Click here to see answer by solver91311(24713) About Me 

Question 250559: I need help with my Algebra please. It says tell whether each sequence is convergent or divergent. If it is convergent find it sum.
1. infinite E (2/3)^n n=0
2. infinite E (-4/11)^n n=0
3. infinite E (5^k+1)/3^k n=0
4. infinite E (3^n-1)/4^n n=1

Click here to see answer by jim_thompson5910(35256) About Me 

Question 250418: What is the common difference in this sequence?

5
21
37
17
21
29

Click here to see answer by Edwin McCravy(20056) About Me 

Question 250443:
the perimeter of a rectangle is 196 inches. The length exceeds the width by 22 inches. Find the length and the width.

Click here to see answer by meshe43(1) About Me 

Question 250890: I am really stuck on this problem. I was hoping someone can help me solve it.
(4/3)(-6)(-3/4)
Im just not sure how to get the answer. The answer I came up with is 5, but Im not sure its right!

Click here to see answer by dabanfield(803) About Me 

Question 251781: A teacher allows the students to each throw out their lowest test score in order to increase their overall grade. The original mean score of 5 tests is 75.2 After the removal of the lowest test, the mean score becomes 80.25. What is the score of the removal test?

Click here to see answer by stanbon(75887) About Me 

Question 252039: The 4th term of a sequence is 4 and the 6th term is 6. Every term of the sequence
is the sum of the two preceding terms. Find the 2nd term.

Click here to see answer by RicaMath(8) About Me 

Question 251659: Q1 If a,b,c,d are in Harmonic progression show that(a-c)(b-d)=4(a-b)(c-d)
Q2 If a+b,b+c,c+a are in H.P. show that a^2,b^2,c^2 are in A.P.
Q3 If x,y,z are in A.P.x,xy,z are in G.P.show thatx,x^2y,z are in H.P.

Click here to see answer by palanisamy(496) About Me 

Question 250413: What is the common difference in this sequence?
59
50
55
58
58
41

Click here to see answer by prateek(6) About Me 

Question 252019: Q.1:-In a book with page numbers from 1 to 100, some pages are torn off. The sum of the numbers on the remaining pages is 4949. How many pages are torn off?
Click here to see answer by kev82(151) About Me 

Question 252353: sum of the first 100 terms for the series:
(1*2*3)+(2*3*4)+(3*4*5)+.....................

Click here to see answer by kensson(21) About Me 
Question 252353: sum of the first 100 terms for the series:
(1*2*3)+(2*3*4)+(3*4*5)+.....................

Click here to see answer by palanisamy(496) About Me 

Question 252350: For certain arithmetic sequence, S 21= 546, S 22= 660 and d=8; determine S 23.
Click here to see answer by drk(1908) About Me 

Question 252456: Evaluate the sum: 1-2+3-4+5-6+7-8+9-10+…-998+999-1000
Click here to see answer by drk(1908) About Me 

Question 252455: Evaluate: What is the sum of all the one’s digits in the following finite sequence?
3^0 ,3^1,3^2 ,3^3 ,...,3^2006

Click here to see answer by drk(1908) About Me 

Question 250832: what is the 288th term of the series a,bb,ccc,dddd.....
Thanks in anticipation .my exam is on 20th Sunday. do ans. soon

Click here to see answer by drk(1908) About Me 

Question 250953: Find
-4+((100*(pi^2))/2!)-((2500*(pi^4))/4!)+((62500*(pi^6))/6!)-...


Click here to see answer by drk(1908) About Me 

Question 252616: 1. A three-digit number divisible by 5 has a hundreds digit that is 2 more than the tens digit. If the number is 43 times the sum of the digit , what is the number?
Thank you very much for answering my first question . It helps A lot. Thanks again

Click here to see answer by palanisamy(496) About Me 
Question 252616: 1. A three-digit number divisible by 5 has a hundreds digit that is 2 more than the tens digit. If the number is 43 times the sum of the digit , what is the number?
Thank you very much for answering my first question . It helps A lot. Thanks again

Click here to see answer by JimboP1977(311) About Me 

Question 252800: What is the 704th term of the repeating sequence: 824198241982419…
A) 8 B) 2 C) 4 D) 1 E) 9

Click here to see answer by checkley77(12844) About Me 

Question 252888: 1, 2, 1, –1, –2, . . .

The first five terms of a sequence are shown above. After the second term, each term can be obtained by subtracting from the previous term the term before that. For example, the third term can be obtained by subtracting the first term
from the second term. What is the sum of the first 36 terms of the sequence ?
(A) 0 (B) 4 (C) 12 (D) 24 (E) 30

Click here to see answer by drk(1908) About Me 

Question 250402: What is the common difference in this sequence?
4
26
14
27
1
12

Click here to see answer by drk(1908) About Me 

Question 253192: +1, 0, –1, +1, 0, –1, +1, 0, –1 . . . . and so on, where the last number is +1, has a sum of
(A) +1 (B) –1 (C) +2 (D) 0 (E) –2

Click here to see answer by richwmiller(17219) About Me 

Question 253211: four consecutive multiples of 5 add up to 4130. what is the largest number?
Click here to see answer by richwmiller(17219) About Me 

Question 253431: I have been trying to work a problem and the answer I come up with does't seem correct. The problem is as follows:
In an unusual salary arrangement for a temporary worker hired for 30 days, the pay on the first day is 1 cent, on the second day it is 2 cents, and the pay doubles each day. What is the total pay for the 30 days worked.
My answer is - $80,530,636.95 which doesn't seem right. Wondering where I am going wrong.
Lori

Click here to see answer by hokies(65) About Me 
Question 253431: I have been trying to work a problem and the answer I come up with does't seem correct. The problem is as follows:
In an unusual salary arrangement for a temporary worker hired for 30 days, the pay on the first day is 1 cent, on the second day it is 2 cents, and the pay doubles each day. What is the total pay for the 30 days worked.
My answer is - $80,530,636.95 which doesn't seem right. Wondering where I am going wrong.
Lori

Click here to see answer by richwmiller(17219) About Me 
Question 253431: I have been trying to work a problem and the answer I come up with does't seem correct. The problem is as follows:
In an unusual salary arrangement for a temporary worker hired for 30 days, the pay on the first day is 1 cent, on the second day it is 2 cents, and the pay doubles each day. What is the total pay for the 30 days worked.
My answer is - $80,530,636.95 which doesn't seem right. Wondering where I am going wrong.
Lori

Click here to see answer by Theo(13342) About Me 

Question 253679: I am stuck on a math question and need help. The question is:
Write out the expansion of (x+1)^6 using the Binomial Theorem.

Any help would be greatly appreciated.
Thank you - Lori

Click here to see answer by jim_thompson5910(35256) About Me 

Question 253752: 1,12,123,1234,.........n
what is the nth term?

Click here to see answer by Edwin McCravy(20056) About Me 

Question 254000: I forgot how to work this type of problem and don't know what to do.
2 3/4 + 1 1/8

Click here to see answer by jim_thompson5910(35256) About Me 
Question 254000: I forgot how to work this type of problem and don't know what to do.
2 3/4 + 1 1/8

Click here to see answer by Edwin McCravy(20056) About Me 

Question 254102: wht should come in place of ?
405 135 54 27 18 18 ?

Click here to see answer by checkley77(12844) About Me 

Question 254284: 4. Find the third, sixth, and eighth terms of the sequence A(n) = 5 + (n – 1)(3).
Click here to see answer by drk(1908) About Me 

Question 254290: In a certain type of sequence, each number (except the first two)is the sum of the two numbers before it. For example, such a sequence might look like this:
1,2,5,7,12,19...where 7 is 2+5, 12 is 5+7, and so on.
If the first number of such a sequence is 1, and the tenth number is 111, what is the second number? You must use algebra and your answer must be exact.
I need the answer for this question by the end of today please. Thank you

Click here to see answer by scott8148(6628) About Me 

Question 254572: Find the 3rd, 6th, 8th term in the sequence : A(n) = 5+ (n-1) (3)
Click here to see answer by solver91311(24713) About Me 

Question 254675: Three numbers form an arithmetic sequence, common difference being 11. If first number is decreased by 6, second number decreased by 1, and third number doubled, resulting numbers form a geometric sequence. determine the numbers that form the arithmetic sequence
Answer is -26, -15, -4, 14, 25, 36

Click here to see answer by drk(1908) About Me 

Question 254764: determine the arithmetic sequence with first term 1 and common difference not equal to zero, whose second, tenth, and thirty fourth terms are the first 3 terms in geometric sequence.
Click here to see answer by palanisamy(496) About Me 

Question 255036: I am having a hard time with this problem. Can someone please help me.
Let U = {0, 1, 2, 3, 4, 5, . . .}, A = {1, 2, 3, 4, . . .}, B = {4, 8, 12, 16, . . .} and C ={2, 4, 6, 8, . . .}. Determine the following.

A ‘ ∩ C

Click here to see answer by palanisamy(496) About Me 

Question 255024: A golf ball is hit in the air. the path of the golf ball can be described by the equation h = 55t - 5t where h is the height of the ball in meters and t is the time after how many seconds will the ball be in 160 high
Click here to see answer by Greenfinch(383) 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, 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