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 1122358: Series 1 2 8 48 384 what is next

Click here to see answer by MathTherapy(10552)

Question 1122358: Series 1 2 8 48 384 what is next

Click here to see answer by ikleyn(52788)

Question 1122404: Hi i would like to know the general formula for the sequence
1, 4, 2, 8, 4, 16, 8, 32. I am certain thatit follows a
�2 X4 sequence.. But please help me for the general formula to answer any nth term. Thanks!
Click here to see answer by Alex.33(110)

Question 1122515: The sum of an infinite G.P. is 1/3 and the first term is 1/4. Find the G.P
Click here to see answer by greenestamps(13200)

Question 1122514: The sum of an infinite G.P. is 15 and the sum of the squares of the terms is 45. Find the G.P
Click here to see answer by greenestamps(13200)

Question 1122513: express the foloowing recurring decimals as an infinite G.P. and then find out their values as a rational number. the *x* refer to the recurring part
(a)0.*7*
(b)0.3*15*
Click here to see answer by greenestamps(13200)

Question 1122511: find the sum of each of the following inifinite G.P's:
(a) 1 + 1/3 + 1/9 + 1/27 + +...
(b) 2/5 + 3/5^2 + 2/5^2 + 3/5^4...
Click here to see answer by greenestamps(13200)

Question 1122505: three numbers are in G.P. Their sum is 43 and their product is 216. Find the numbers in the proper order
Click here to see answer by greenestamps(13200)

Question 1122508: how many terms of the G.P. 8,16,32,64... have their sum 8184?
Click here to see answer by greenestamps(13200)

Question 1122510: find the sum of each of the following sequences up to n terms.
(a) 8,88,888,...
(b)0.2,0.22,0.222,...
Click here to see answer by ikleyn(52788)

Question 1122634: Principle of Mathematical Induction: For all natural numbers n, n^2 < 4^n.
Click here to see answer by Alan3354(69443)

Question 1122707: Find the number of terms in the following sequence 8,4,2,1/2--------1/512
Click here to see answer by math_helper(2461)

Question 1122706: Find the number of terms in the following sequence, 8,4,2,1/2,--------1/512

Click here to see answer by Boreal(15235)

Question 1122706: Find the number of terms in the following sequence, 8,4,2,1/2,--------1/512

Click here to see answer by ikleyn(52788)

Question 1122847: Tanya forms her sequence by starting with the number 2 and adding 3 continuously. She gets the following 2,5,8,11,14 and so on. Joe forms his sequence by starting with the number N(not 2) and adding the number D(not 3) continuously. His second number is 9 and his fifth number is 21. What is his 1000th number

Click here to see answer by greenestamps(13200)

Question 1123131: what is pattern on this equation
3, -6, 12, 4, 20, ?
Click here to see answer by ikleyn(52788)

Question 1123142: 3, -6, 12, 4, 20, ?
what is the next number in sequence?
Click here to see answer by ikleyn(52788)

Question 1123159: 1)23,__,223,323,__,__,__,723,__,923
2)32,__,__,62,__,82,__,102,__,__,132
Click here to see answer by ikleyn(52788)

Question 1123252: So a this sequence goes up 4 every time (e.x. 1,5,9,13,17,21)
What would the 200 one be?
Click here to see answer by ikleyn(52788)

Question 1123285: Find the next number 70 18 79 85 73 29 93 62 49 08 95 46 06 ?
Click here to see answer by Alan3354(69443)

Question 1123411: Evaluate the summation of (4i+2) where i=1 n=180
Click here to see answer by josgarithmetic(39618)

Question 1123412: Evaluate the summation of (2i-1)(2i+1) where i=1 and n=70
Click here to see answer by MathLover1(20850)

Question 1123539: Write the first ten terms of a sequence whose first term is -10 and whose common difference is -2.
Click here to see answer by greenestamps(13200)

Question 1123532: A dog owner is told by the veterinarian that his dog, Max, is overweight and needs to lose 4 to 5 pounds in order to live a healthy life. The dog weighs 126 pounds when he is put on a special diet to aid in the weight loss. The vet predicts that the diet will allow Max to lose 4 ounces per week. Max is brought to the vet every 2 weeks for a weight check. Write an equation to represent the doctor's prediction, and the relationship between Max's weight in pounds, y, and the number of times Max's weight is checked, x, in periods of two weeks. Reduce all answers to the nearest tenth of a number.
Click here to see answer by Theo(13342)

Question 1123624: A ladder of length is placed on horizontal ground with the foot of the ladder 2M from the vertical side of a house. How far up the wall does it reach? Give your answer in the simplest possible surd form
Click here to see answer by Alan3354(69443)

Question 1123621: A Square has sides of xcm length and a diagonal length of 8cm. Use Pythagoras theorem to find the exact value of x and the area of the square.
Click here to see answer by Alan3354(69443)

Question 1123644: The first term of an arithmetic sequence is -5, and the tenth term is 13. Find the common difference.
Click here to see answer by ikleyn(52788)

Question 1123616: What is the next sequence of numbers after
1 16 17 29 35
6 10 12 29 39
5 9 24 30 32
I tried subtracting each 16-1 etc but no sense
Click here to see answer by ikleyn(52788)

Question 1123683: There are three empty boxes. The first box has 0.22 and the last box has 0.84. What are the three missing numbers in between 0.22 and 0.84?
Click here to see answer by ikleyn(52788)

Question 1123877: For the given geometric sequence tₓ find r if S₂=10 and S₄=50

Click here to see answer by greenestamps(13200)

Question 1123877: For the given geometric sequence tₓ find r if S₂=10 and S₄=50

Click here to see answer by ikleyn(52788)

Question 1123877: For the given geometric sequence tₓ find r if S₂=10 and S₄=50

Click here to see answer by MathTherapy(10552)

Question 1123910: The nth term of -7, -5, -3, -1
Click here to see answer by josgarithmetic(39618)

Question 1123911: The nth term of -4, 7, 24, 47
Click here to see answer by ikleyn(52788)

Question 1124301: Please help me solve this Problem: The total price of a filing cabinet and a table is P13,100. if the price of filing cainet is P2,500 more than that of the table, how much is the the table?
i dont know how to solve: x=table, fc+t=13,100.00
2,500+x=13,100.00
Click here to see answer by solver91311(24713)

Question 1124299: the total price of a filing cabinet and a table is 13,100. if the price of filing cabinet is 2,500 more than than of the table
Click here to see answer by ikleyn(52788)

Question 1124299: the total price of a filing cabinet and a table is 13,100. if the price of filing cabinet is 2,500 more than than of the table
Click here to see answer by josgarithmetic(39618)

Question 1124344: Find the next number of the following
1, 6, 11, 18, 27, 38, ...
Click here to see answer by addingup(3677)

Question 1124330: Hello,
I am not sure how to setup and solve the following word problem (if it's unclear I will explain, I had to translate to English)
A boy buys an amount of books for an amount of money. If the price of the books went down 10 dollars the boy would buy 50 more books from what he already bought. If the price went up 5 dollars the boy would buy 10 less from what he already bought. What is the amount of money that the boy was able to use?
Thanks.

Click here to see answer by ikleyn(52788)

Question 1124468: Please help me solve this Problem:
1. edwin is 25 years younger than his father. however, his father will be twice his age in 10 years. find the ages of edwin and his father?
2. if 5 parts of alcohol is mixed with 20 parts of water, what part of the mixture is alcohol?
3. a chemical engineer mixed 40ml of 35% hydrochloric acid solution with 20ml of 50% hydrochloric acid solution. what is the percentage of the hydrochloric acid of the new solution?
4. how many liters of water must be extracted to 20 liters of 12.5% salt solution to make it 20% salt solution?
Click here to see answer by josgarithmetic(39618)

Question 1124473: The numbers a,b,c,d,e,f,g are positive consecutive integers in increasing order.
Given that
a+b+c+d+e+f+g is a perfect cube and
b+c+d+e+f
is a perfect square, what is the smallest possible value of g?
Click here to see answer by Alan3354(69443)

Question 1124540: the next term of the sequence 100,95,70,-55
Click here to see answer by math_helper(2461)

Question 1124539: the sum of an A. P is 20.the first term and common difference are 8 and -2repectively.find the number of terms 'n in the series
Click here to see answer by ikleyn(52788)

Question 1124604: 3,-6,12,4,20
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