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

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Question 752568: the number of positive integers whose square is a factor of 2000 is out of
A) 3
B) 6
C)10
D) 12
E)20
Thank you for your help!
I really don't have a clue how to do this, neither do my friends. And we all don't know WHAT intergers are. Thanks!!
Click here to see answer by Edwin McCravy(20056)

Question 752570: A hardware store sells numerals for house number. It has large quantities of the numerals 3, 5, and 8 but no other numerals. How many different house numbers, with no more than 3 digits, can be made form those numerals?
A) 33
B)21
C)27
D)36
E)39
Thanks!
Well, so far I've worked out that you could have A =3 B= 5 and C=8, and then go a, aa, aaa, ab,abb,aab,ac,acc, aac, but I always get confused even when I write it down. Thanks for bothering to help me!
Click here to see answer by FrankM(1040)

Question 752588: when 200 is divided by a positive integer N, the remainder is 5. the number of all possible values of N is:
A) 2
B)6
C)8
D)13
E)16
Thank you very much for looking at this question. I have worked out that N - 40, but I'm not sure how to continue on from there.
Click here to see answer by Edwin McCravy(20056)

Question 752575: Can you please help me; My question is a picture, here: http://s1273.photobucket.com/user/LittleLottie99/library/?sort=3&page=1
It's number 25. Thank you so much!
Click here to see answer by KMST(5328)

Question 752677: in the minimum value in a series 40 and its range is 67, then find the maximum value of the series.
Click here to see answer by tommyt3rd(5050)

Question 753041: Consider the arithmetic sequence that begins with the numbers 15 and 21. What is the 10th number in this sequence?
Click here to see answer by reviewermath(1029)

Question 753039: Find the first 4 terms of the following recursive sequence, an = an−1 − 10 , a1 = 20

Click here to see answer by tommyt3rd(5050)

Question 753244: 1; 8; 27; 64; does this number have a common difference?
Click here to see answer by josgarithmetic(39617)

Question 725048: In a geometric mean, if 5th term is 32 and 8th term is 84. Find geometric mean
Click here to see answer by tommyt3rd(5050)

Question 753628: Describe the rule for the sequence: -5, 7, 19, 31, ...
Click here to see answer by solver91311(24713)

Question 753668: For questions 1�6 determine whether each series is arithmetic or geometric. Then evaluate the series to the given term.
1. 1 + 3 + 9 + ...; S8
2. 5 + 7 + 9 + ...; S8
3. 25 + 32 + 39 + ...; S12
4. 256 + 192 + 144 + ...; S7
5. 1 � 3 + 9 � 27 + ...; S10
6. -14+(-7)+ 0 + 7 + ...; S10
I really appreciate all of the help I can get! :)
Click here to see answer by solver91311(24713)

Question 753751: ?Rafael drove 260 miles using 11 gallons of gas. At this rate, how many gallons of gas would he need to drive 390 miles
Click here to see answer by MathLover1(20850)

Question 753616: Write a rule for the nth term of the arithmetic sequence, then find a23
d=-2/3,a4=18
Click here to see answer by KMST(5328)

Question 753895: If a 117-mile trip took
6 1/2 gallons of gas, how many miles can be driven with a full tank of 20 gallons?
Click here to see answer by josmiceli(19441)

Question 754041: x+3, x-15, 24 are the first 3 terms to a geometric sequence, find the values of x.
Click here to see answer by reviewermath(1029)

Question 754255: Viola makes gift baskets for Valentine's Day. She has 13 baskets left over from last year, and she plans to make 12 more each day. If there are 15 work days until the day she begins to sell the baskets, how many baskets will whe have to sell?
Click here to see answer by stanbon(75887)

Question 754252: Write a recursive formula for the sequence 15,26,48,92,180,.......Then find the next term.

Click here to see answer by stanbon(75887)

Question 754253: Is the formula Asub(n)=-4n(n-1) Explicit or recursive? Find the first 5 terms of the sequence.
Click here to see answer by jim_thompson5910(35256)

Question 754194: If 6 ounces is equal to 168 grams, then 2 pounds of ground meat is equal to how many grams?
Click here to see answer by ankor@dixie-net.com(22740)

Question 754352: Evaluate the infinite geometric series. Round to the nearest hundreth if necessary.
1+0.1+0.01+.............
A.0.33
B.1.11
C.1.2
D.2
Click here to see answer by reviewermath(1029)

Question 754350: A grocery clerk sets up a display of 12-pack cartons of cola. There are 15 cartons at the base of the triangle and one at the top. How many cartons of cola are needed for the complete display?
Click here to see answer by josgarithmetic(39617)

Question 754351: write the explicit formula for the sequence. Then find the fifth term in the sequence.
asub1=3, r=-3
Click here to see answer by Edwin McCravy(20056)

Question 754450: How does the width of the rectangles used to approximate area under a curve affects the estimate.
Click here to see answer by stanbon(75887)

Question 754451: Consider the sequence 1,2/3,3/5,4/7,5/9...........
A. describe the pattern formed in the sequence.
B. Find the next three terms.
Click here to see answer by stanbon(75887)

Question 754449: A grocery clerk sets up a display of 12-pack cartons of cola. There are 15 cartons at the base of the triangle and one at the top. How many cartons of cola are needed for the complete display?
A.180
B.30
C.120
D.15
Click here to see answer by stanbon(75887)

Question 754513: 28 ft / 18 min = ?in / 216 sec

Click here to see answer by josmiceli(19441)

Question 754513: 28 ft / 18 min = ?in / 216 sec

Click here to see answer by MathLover1(20850)

Question 754592: In an arithmetic progression, the 3rd term is equal to three times the 1st term, and the sum of the first two terms is equal to 3.
find the nth term of this series.
Hence find the sum of the terms from the 1st to the nth term inclusive.
Click here to see answer by stanbon(75887)

Question 754600: What is the equation for this sequence?
1/2, 5/6, 7/6
Click here to see answer by stanbon(75887)

Question 754618: A1= 7, An= -20, Sn = -65 determine n and d.
Click here to see answer by tommyt3rd(5050)

Question 754678: Find the arithmetic mean Asub(n) of Asub(n+1)=9/4.
A. 83/56
B. 5/4
C. 83/28
D. 7/4
Thank you in advance
Click here to see answer by MathLover1(20850)

Question 729782: finding a formula for the sequence:
1,-1/3,1/9,-1/27...
Click here to see answer by tommyt3rd(5050)

Question 753894: The third and sixth terms of a geometric sequence are -75 and -9375 respectively. Find the first term, the common ratio, and an explicit rule for the nth term
Click here to see answer by htmentor(1343)

Question 754846: The product of 3 consecutive numbers when divided by each of them in turn , the sum of three quotient will be 74 .what are the numbers ?
Click here to see answer by ankor@dixie-net.com(22740)

Question 755524: sum of first 20 terms of an arithmetic sequence is 900. sixth term is 27. what is
its fifteenth term and common difference.

Click here to see answer by reviewermath(1029)

Question 755622: In a GP the sum of the 2nd and 3rd terms is 12,and the sum of the 3rd and 4th terms is 60. Find the common ratio and the 1st term.
Click here to see answer by josgarithmetic(39617)

Question 756374: What is the 4th term in this sequence?
1, 4, 27, ?, 3125
Click here to see answer by jim_thompson5910(35256)

Question 756556: 13) Write the equation for a hyperbola with the following:
a. foci at (�5, 7) and vertices at (�3, 7)
b. a horizontal transverse axis, a = 5 and c = 13
Click here to see answer by lwsshak3(11628)

Question 756823: A = 12 B = 15 C=?
Click here to see answer by Alan3354(69443)

Question 756947: The sum of three numbers is 200. The ratio of the first to the second is 5:6 and that of the second to the third is 2:3
What is the difference between the largest and the smallest number?
Click here to see answer by htmentor(1343)

Question 757173: in g p if sum of first two digits is 7 and sum of first 6 digits is 91 then what is the sum of first 4 digits

Click here to see answer by josgarithmetic(39617)

Question 757230: What is the sum of the first 45 terms of the following sequence?
20, 18, 16, . . .
Click here to see answer by stanbon(75887)

Question 757562: What is 1/6 of 300?

Click here to see answer by Amrita Battula(2)

Question 757982: Write a recursive formula for 80,40,20,10...
Click here to see answer by pragya.ban@gmail.com(32)

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