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 826893: Which option is correct?
5 , ? , 4 , 7.5 , 17 , 45
A. 3.5
B. 3
C. 2.5
D. 2
Click here to see answer by Edwin McCravy(20056)

Question 826993: If two quantities are added and the sum is Zero, what do you know about the quantities
Click here to see answer by rfer(16322)

Question 827169: The sum of two number is 35 and their lcm is 240.then find the number.pls give me proper solution and process.
Click here to see answer by josgarithmetic(39618)

Question 827248: Find the distance between the two points. Round to the nearest tenth if necessary.

(6, 11), (0, 3)
a.
10
b.
14
c.
15
d.
100

Click here to see answer by stanbon(75887)

Question 827321: What two number when added equal 13 and when subtracted equal 43
Click here to see answer by LinnW(1048)

Question 827356: what is the common ratio and next term for the geometric sequence 100,60,36
Click here to see answer by josgarithmetic(39618)

Question 827422: I have to write a formula for a sequence of numbers whos tenth term is 75. Our teacher (a substitute) didn't really explain how to do this. Can you help me?
Click here to see answer by Edwin McCravy(20056)

Question 827644: how to get the fist 3terms in an arithmetic sequence if the second term is 9 and the fifth is 21
Click here to see answer by Edwin McCravy(20056)

Question 827159: Prove than sum(1/(r^2),r=1,n)is greater than or equal to 2- (1/n) for n is greater than or equal to 1.
Thanks!!
Click here to see answer by Edwin McCravy(20056)

Question 827857: The perimeter of a square is to be at least 13 feet, but no more than 52 feet. Find all possible values for the length of its sides
Click here to see answer by stanbon(75887)

Question 827856: Five times the sum of a number and 16 is at least 110. Find all possible values for the number.
Click here to see answer by stanbon(75887)

Question 827849: hi, im jeff. i don't know how to do 7,8,9,10 and im trying to describe each sequence using words and symbols only.
Click here to see answer by MathLover1(20850)

Question 828037: (I'm an adult) need help with missing number patterns please:
4,7,3,x,2,5
3,5,x,6,1,7
4,5,x,7,2,9
10,x,9,4,8,5
X,5,3,6,2,7
And
18,26,x,23,26
Thanks
Click here to see answer by KMST(5328)

Question 826079: Hello Sir, Alan3354(35133
I know its not enough numbers But plz. you try.
I am give you more numbers 56,00,53,52,??? And 03,97,29,09,???
its 2 series plz. you try plz.

Nikhil Tkd
Click here to see answer by nik-tkd(1)

Question 828111: Find the sum of the terms of the geometric sequence 3, 6, 12, 24.

Click here to see answer by josgarithmetic(39618)

Question 828112: Find s10 for a geometric series with first term 10 and common ratio 4.
Click here to see answer by josgarithmetic(39618)

Question 828116: A maple tree loses 384 leaves during the first week of fall, and 1.5 times as many on each successive week. At the end of 7 weeks, all the leaves have fallen. How many leaves fell from the tree?
Click here to see answer by richwmiller(17219)

Question 828025: 14.26.50,98,194,?what would be next number.with process and solution.
Click here to see answer by josgarithmetic(39618)

Question 828197: The third term of a geometric sequence is 75. The fifth term is 27. Find the first term.
Click here to see answer by stanbon(75887)

Question 828267: first term of an arithemetic sequence is k. The second term is k+n. Find third term
Click here to see answer by stanbon(75887)

Question 828363: 1. Describe a pattern in each sequence. What are the next two terms of each sequence?

24, 22, 20, 18, . . .
Choose one answer.
a. multiply the previous term by -2; -36, 72
b. multiply the previous term by -2; 16, 72
c. subtract 2 from the previous term; 16, 14
d. add 2 to the previous term; 20, 22
2. Describe a pattern in each sequence. What are the next two terms of each sequence?

2, 4, 8, 16, . . .
Choose one answer.
a. add 2 to the previous term; 14, 12
b. subtract 2 from the previous term; 32, 64
c. multiply the previous term by -2; -32, 64
d. multiply the previous term by 2; 32, 64
3. Tell whether the sequence is arithmetic. If it is, what is the common difference?

15, 19, 23, 27, . . .
Choose one answer.
a. yes; 15/19
b. yes; 4
c. yes; 34
d. no

Click here to see answer by KMST(5328)

Question 828405: What is the sum of the digits in the 99-digit integer formed by listing the numbers 100 through 132 in order?
Click here to see answer by Edwin McCravy(20056)

Question 828345: I'm having trouble solving for a rule for a sequence that goes like this:
{ 9/5, 27/25, 81/125, 243/625....}
I know at least a= something/5^n, but I can't figure out what to do to get the numerator.
Any help please?
Click here to see answer by MathTherapy(10552)

Question 827960: This is a "times 5" pattern:1, 5, 25, 125...
Write a formula for the nth term of the sequence.
Click here to see answer by richwmiller(17219)

Question 828528: Which term of an Arithemitc sequence 3,15,27,.......... Will be 132 more than it's 51 term
Click here to see answer by KMST(5328)

Question 828533: Give AP -7,-3,1,....,state three consecutive terms in this AP which sum up to 75
Click here to see answer by KMST(5328)

Question 828588: What is the sequence to 2 7 22 67 202
Click here to see answer by Edwin McCravy(20056)

Question 828833: Find the cardinal number for the set. A = {4, 8, 12, . . . , 32}
Click here to see answer by jim_thompson5910(35256)

Question 827994: x+4x-15=0
Click here to see answer by tommyt3rd(5050)

Question 829274: What is 4n/2 sequence
Click here to see answer by erica65404(394)

Question 829224: the sum of 3 numbers is 207 the second number is 8 times the first while the third is 3 less than the first find the three numbers
Click here to see answer by TimothyLamb(4379)

Question 829363: what is the next number in this series 4, 7, 16, 43, 124
Click here to see answer by josgarithmetic(39618)

Question 829363: what is the next number in this series 4, 7, 16, 43, 124
Click here to see answer by MathTherapy(10552)

Question 829380: if a/(a+b)=17/23, what is (a+b)/(a-b) equal to?
Click here to see answer by JulietG(1812)

Question 829516: The sum of three consecutive numbers is 27 and the sum of their square is 293. Find the numbers.
Click here to see answer by LinnW(1048)

Question 829690: How do you find n for 16 = 80 + (n - 1) -4?
Click here to see answer by TimothyLamb(4379)

Question 829692: Write an expression for the aapparent nth term of the sequence (assume n starts at 1):

1,-3,5,-7,9
Click here to see answer by Fombitz(32388)

Question 829923: The first term of a geometric series is 3, and the sum of the first term and the second term is 15. What is the sum of the first six terms?

Click here to see answer by reviewermath(1029)

Question 829930: The ratio between two no is 3 :4. If u icrease each no by 6. The ratio becomes 4 : 5. What is difference between nos.
Click here to see answer by Fombitz(32388)

Question 829927: 7/20-2/5=x-7/4=
Click here to see answer by LinnW(1048)

Question 829972: i need to know how to solve 1992 in roman numeral

Click here to see answer by richwmiller(17219)

Question 830072: Help....
Y increased by 37 is negative 8
Tks
Click here to see answer by Alan3354(69443)

Question 830075: the average of 3 numbers is 89 if the first is 69 and the second is 124 what is the third number.

Click here to see answer by Alan3354(69443)

Question 830116: How To Rewrite the expression 5�(8+13) as the sum of 65 and another whole number.
Click here to see answer by TimothyLamb(4379)

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