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

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Question 978610: A Super Happy Fun Ball is dropped from a height of 8 feet and rebounds 12/13 of the distance from which it fell.
How many times will it bounce before its rebound is less than 1 foot?

How far will the ball travel before it comes to rest on the ground?

Click here to see answer by Edwin McCravy(20056)

Question 978717: the number of the sequences is 17 if the second is 3 what is the first number
Click here to see answer by Fombitz(32388)

Question 978722: if the number of the sequence is 17 and the second number is 3 what is the first number?
Click here to see answer by Fombitz(32388)

Question 978716: If the number of the sequence is 17, and the socond number is 3, what is the first number?
Click here to see answer by Fombitz(32388)

Question 978756: Find a sequence of four numbers. The first of which is six and the fourth of which is 16, if the first three numbers form an arithmetic sequence and the last three numbers form a geomtrice sequence
Click here to see answer by richwmiller(17219)

Question 978816: if the sequence is 17 and the second number is 3.which is the first number?
Click here to see answer by Alan3354(69443)

Question 978880: (1-1/2) (1-1/3)
Click here to see answer by josgarithmetic(39618)

Question 978886: The first,fifth and seventh term of an Arthimetic Progression(A.P) are equal to the first three consecutive terms of a decreasing Geometric Progression(G.P). The first term of each progression is 56, the common difference of the A.P IS d and the common ratio of the G.P is r
a)(i)Write two equations involving d and r
(ii)Find the values of d and r
(b) find the sum of the first 10 terms of:
(I) The arithmetic progression
(ii) The geometric progression
Click here to see answer by Edwin McCravy(20056)

Question 978882: The number of the sequence is 17,if the 2nd term is 3 what is the 1st term

Click here to see answer by Alan3354(69443)

Question 978921: The second term in a geometric sequence is 50. The fourth term in the same sequence is 112.5. What is the common ratio in this sequence?
Click here to see answer by htmentor(1343)

Question 978920: what is a rule of solving 83+5^3-6^2+8=
12^2-14x2+38=
8^2/25-5x3+2=
Click here to see answer by Fombitz(32388)

Question 978955: Suppose you go to a company that pays 0.01 for the first day, 0.02 for the second day, 0.04 for the third day and so on. If the daily wage keeps doubling, what will your total income be for working 29 days ?
Total Income
Click here to see answer by Alan3354(69443)

Question 979019: If the first two terms of a geometric sequence are 2 and 1, respectively, which term of the sequence is equal to 1/16?
Click here to see answer by MathLover1(20850)

Question 979036: For what value of x, the number -2/7,x,-2/7 in gp

Click here to see answer by josgarithmetic(39618)

Question 979046: what is the 30TH term in the following series 5,7,9
Click here to see answer by josgarithmetic(39618)

Question 979046: what is the 30TH term in the following series 5,7,9
Click here to see answer by MathTherapy(10552)

Question 979055: If the number of the sequence is 17 and the send one is 3 what is the first number
Click here to see answer by Fombitz(32388)

Question 979018: A tank contains 16,000 liters of water. Each day, one-half of the water in the tank is removed and not replaced. How much water remains in the tank at the end of the 7th day?
Click here to see answer by ankor@dixie-net.com(22740)

Question 979121: The number in the sequence is17,if the second is 3, what is the first?
Click here to see answer by Alan3354(69443)

Question 979121: The number in the sequence is17,if the second is 3, what is the first?
Click here to see answer by Fombitz(32388)

Question 979190: The term of an arithmetic series is 2 & the common difference is 3. The sum is 187. how many terms are in the series

Click here to see answer by anand429(138)

Question 979222: 70,71,76,-----,81,86,90,91? Fill in the blank.
Click here to see answer by Edwin McCravy(20056)

Question 978199: ARITHMETIC SERIES - Sn=n/2(a1 + an)
Find the sum of the terms of the following arithmetic sequences.
1, 4/3, 5/3, 2,..., a10 (a, sub 10)

S1: an=a1 + (n-1)d [Solve for a10]
S2: s10 = n/2 (a1+an) [Solve for S10]

Click here to see answer by Edwin McCravy(20056)

Question 979224: 16,15,36,35,64-------?
Click here to see answer by Edwin McCravy(20056)

Question 979223: What is the difference between the sum of 1st 20 natural and 1st 20 whole numbers?
Click here to see answer by Edwin McCravy(20056)

Question 979292: a sequence of 6 numbers has 3 as its first term and 225 as its last term. the first four numbers are in arithmetic sequence and the last 3 are a geometric sequence with a common ratio of 5. what is the common difference among the first four numbers
Click here to see answer by richwmiller(17219)

Question 979322: the sequence of numbers is 17. if the second number is 3. what is the first number?
Click here to see answer by Alan3354(69443)

Question 979214: The Sequence Of Antmber Is 17 If The Second Number Is 3 What Is The First Number
Click here to see answer by Alan3354(69443)

Question 979325: Sum of series 24,3,8,1,2,7..to 8th term is?
Click here to see answer by Edwin McCravy(20056)

Question 979194: Find the sum of the first n terms of each geometric sequence.
S sub 6 ; 1 + 4 + 16 + 64 + ...
Click here to see answer by ikleyn(52788)

Question 977899: 8 ,44 , 258 , 1540 ,...? What comes next and how?
Click here to see answer by Edwin McCravy(20056)

Question 979293: i need the last number in the following sequences
3, -3, 12, 4, 20,
7, 16, 8, 27, 9
2,7, 26, 101, 400

Click here to see answer by Edwin McCravy(20056)

Question 979329: If 40-16=2�,then value 75-30=2�=100-?=2� .
Click here to see answer by rothauserc(4718)

Question 979408: Sn= 51 and n=6 t1=1 Tn=?
Click here to see answer by anand429(138)

Question 979402: What is geometric infinite of 24, 4, 2/3, 1/9
Click here to see answer by solver91311(24713)

Question 979404: What is geometric infinite of 24, 4, 2/3, 1/9
2)what is geometric infinite of -3,3,-3,3 is this is does not exist?
3)infinite o this 1/4 1 4 16
4)1,-6,36,-216
Click here to see answer by solver91311(24713)

Question 979443: The number of a sequence is 17, if the second number is 3, what is the first number?
Click here to see answer by Fombitz(32388)

Question 979431: The number of sequences is 17, if the second number is 3, what is the first number?
Click here to see answer by Fombitz(32388)

Question 979453: If the number of the sequence is 17,3 as the second number.what is the next number?

Click here to see answer by Alan3354(69443)

Question 979425: if the number of the sequence is 12 and the 2nd is 3 what is the 1st number
Click here to see answer by Fombitz(32388)

Question 979473: Find x in the following sequence: 180,60,24,128,x,16
Click here to see answer by Edwin McCravy(20056)

Question 979512: What is the sum of this equation [-2+(-8)]+[+(-1)]=
Click here to see answer by Boreal(15235)

Question 979576: Hello. I have been struggling to solve these sequences and I was given this problem.
Determine the next term of 1,36,2,30,3,24,4,18 and explain why.
Please email back immediately on thank you
Click here to see answer by rothauserc(4718)

Question 979588: If the number of the sequence is 17 and 3 is the second number,what is the first number?
Click here to see answer by Alan3354(69443)

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