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 1021081: I need to know how to find the value of x for the following geometric sequence- 10, 2x, 3x...
Click here to see answer by robertb(5830)

Question 1021259: if x,y,z are terms of geometric progression than solve this system o equations

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Question 1021351: what is the general term or formula for this sequence? √2,2,4,16.
Click here to see answer by ikleyn(52788)

Question 1021370: please help me solve this question on.GEOMETRY PROGRESSION: The first and the last term of the geometry progression are 2 and 2,048 respectively. The sum of the term of the progression is 2,730 find the number of terms and the common ratio (c.r)
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Question 1021365: The angles of the quadrilateral are in A.P.The greatest angle of the quadrilateral is double the least. Find the angles of the quadrilateral.
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Question 1021371: 3, 6, 7, -2, ... what comes next in this sequence?
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Question 1021355: 4,p,q,13,5 form a geometric progression determine the value of p and q
Click here to see answer by richard1234(7193)

Question 1021566: Find the next term in the sequence. 25,10,4, ...
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Question 1021565: What is the 6th term of a sequence whose 1st term is 5 and whose common ratio is 3
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Question 1021597: Hello, this was in one of my sequence/series questions.
Im pretty sure its got something to do with geometric series, but i dont know how to problem solve using the formula.
Please help!
A bouncy ball is dropped from a height of h meters and allowed to bounce indefinitely. Each succeeding bounce is 0.8 of the preceding one...
If the total vertical distance traveled by the ball is 63 meters, from what height was the ball dropped?
Thank you very much
Click here to see answer by stanbon(75887)

Question 1021671: Hello, I am studying for a test and I can�t figure out how to solve this:
Danny needs to send 4 packages of different weights. The cost of the stamps depends on the weight of the package. The most expensive stamp costs 3 times more than the cheapest stamp. All together he paid 120 dollars. How much is the cheapest stamp and how much is the most expensive?

We are learning an = a1+d(n-1)
Answer is 15 and 45
Thanks!

Click here to see answer by Fombitz(32388)

Question 1021708: Write the explicit formula that represents the geometric sequence -2, 8, -32, 128
Click here to see answer by robertb(5830)

Question 1021818: An arithmetic sequence has a its 4 th term equal to61 and its 5 th term equal to 52 and its 6 th term equal to 63 and its 7 th term equal to 94 and its8 th term equal to 46 what is 9 th term equal to ?
Click here to see answer by robertb(5830)

Question 1021710: The circle contains a sequence 1,3,27, 243 which number complete the sequence 36,81, 93, 133
Click here to see answer by Edwin McCravy(20056)

Question 1021680: 0,1,3,2,4,5,7,6,12 find next find num in the seq
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Question 1021369: 1,4,7,11
Sequence in terms of n
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Question 1021136: I just want to know what number comes next in this sequence and how ?
217,205,596,675,245,089,557,888,578,383,289
Thanks in advance.
Click here to see answer by Edwin McCravy(20056)

Question 1007434: What are the 8 sequence of numbers when the sum of the 1st and 7th number is 40 and the product of the 1st and the 4th number is 160.
Click here to see answer by Edwin McCravy(20056)

Question 1022085: Given the sequence 5, -10, 20, -40, the next two numbers in the sequence are 80 and -160.
A. True
B. Fase
Click here to see answer by Boreal(15235)

Question 1022085: Given the sequence 5, -10, 20, -40, the next two numbers in the sequence are 80 and -160.
A. True
B. Fase
Click here to see answer by fractalier(6550)

Question 1022090: Given the sequence 10, 25, 40, 55, the next two numbers in the sequence are 60 and 75.
A.True
B.False

Click here to see answer by ikleyn(52788)

Question 1022090: Given the sequence 10, 25, 40, 55, the next two numbers in the sequence are 60 and 75.
A.True
B.False

Click here to see answer by Timnewman(323)

Question 1022090: Given the sequence 10, 25, 40, 55, the next two numbers in the sequence are 60 and 75.
A.True
B.False

Click here to see answer by fractalier(6550)

Question 1016701: What is the sum, if the quotient of 32 and −125 is added to 194?
Click here to see answer by Edwin McCravy(20056)

Question 1016780: An arithmetic progression has 241 terms and
a common difference of 0.1 given the sum of
the terms is 964. Find the first term.

Click here to see answer by Edwin McCravy(20056)

Question 1022185: three numbers are in arithmetic progresion & sum of their
squares is 140. find the numbers?

Click here to see answer by Edwin McCravy(20056)

Question 1006513: find the number of common terms in two APs 7, 11, 15, .....up
to 403 and 9, 16, 23 ...up to 702
Click here to see answer by Edwin McCravy(20056)

Question 1022272: How many terms of the arithmetic sequence -3, 2, 7,... must be added together for the sum of the series to be 116?

Click here to see answer by satyareddy22(84)

Question 1022425: the sum of three numbers in G.p is 19 and the sum of their squares is 133 find the numbers.
Click here to see answer by ankor@dixie-net.com(22740)

Question 1022352: Find a formula for the general term of the sequence √2, √(2√2) , √(2√(2√2) )
Click here to see answer by Fombitz(32388)

Question 1022457: Simplify the expression
Click here to see answer by Edwin McCravy(20056)

Question 1022418: find the first 5 terms of each sequence. Show work please.
1). a1=4 and an=0.5a n-1+1
2). an=2n-5 Here is a link to toe sequences.
Thanks copy and paste the link please. http://prntscr.com/a993xv
Click here to see answer by robertb(5830)

Question 1022547: The sum of the first and last terms of a linear sequence is 42. If the sum of all the terms is 420 and the second term is 4, find

Click here to see answer by ikleyn(52788)

Question 1022656: A culture of bacteria has 20 cells in it the number of cells doubles every 30 minutes.
A)use the geometric general term formula to find the number of cells after 8 hours
Click here to see answer by stanbon(75887)

Question 1022711: What is the missing term 58,48,39,31,24?

Click here to see answer by Theo(13342)

Question 1022725: Find three consecutive odd integers such that four times the middle integer is two more than the sum of the first and third. (Enter your answers as a comma-separated list.)
Click here to see answer by Alan3354(69443)

Question 1022736: I got stuck in this problem can someone please help me
Thanks in advance ☺
Find tn for the following geometric sequence -60,30.-15,.... then use tn to find t20
Click here to see answer by robertb(5830)

Question 1022739: Please Help Me With This: Show That Fiftrt =1.933
Click here to see answer by FrankM(1040)

Question 1022727: Show That Sprt = 3 + X^2/6 + X^4/216
Click here to see answer by Alan3354(69443)

Question 1022737: A culture of bacteria has 20 cells in it. The number of cells doubles every 30 minutes
A) write the first 5 terms of this sequence
B)is this sequence arithmetic or geometric? Explain how you know
C)write the general term for the sequence
D)use your formula to determine the number of cells after 8 hours
Step by step answers would be appreciated thanks in advance ☺
Click here to see answer by Alan3354(69443)

Question 1023098: Cannot determine the common ratio for:
Sequence: 4,-9, 16, -25,...
Series: 1 - 1/4 + 1/9 - 1/25 + ...
Must create a general term for both, and prove the convergence of the second using the alternating series test.
Click here to see answer by ikleyn(52788)

Question 1023091:
Click here to see answer by fractalier(6550)

Question 1023381: How do I determine the next number in the following sequence:
131, 130, 127, 118
I know the answer is 81 but I cannot figure out how/why
Click here to see answer by fractalier(6550)

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