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 846929: Need help with patterns and sequences
Problem:
32, 16/3, 8/9, 4/27, ___, ___, ____
My attempt:
32, 16/3, 8/9, 4/27, 2/81, 1/243, 0.5/729
Am I correct? I'm not sure about the last sequence. Please help.
Click here to see answer by Edwin McCravy(20056)

Question 846010: What is next term.
1,2,4,6,48,.....
Click here to see answer by Edwin McCravy(20056)

Question 846988: Consider the infinite geometric series Infinity
E. -4(1/3) ^ n-1
n-1. Hopefully it turned out how I typed it.
A. Write the first four terms of the series
B.does the series diverge or converge
C. If the series has a sum, find the sum.
The series again was infinity over the E looking symbol with n-1 underneath. The larger numbers next to the symbol are -4 (1/3) ^n-1

Click here to see answer by ewatrrr(24785)

Question 846982: Consider the infinite geometric series Infinity
E. -4(1/3) ^ n-1
n-1. Hopefully it turned out how I typed it.
A. Write the first four terms of the series
B.does the series diverge or converge
C. If the series has a sum, find the sum.
The series again was infinity over the E looking symbol with n-1 underneath. The larger numbers next to the symbol are -4 (1/3) ^n-1
Click here to see answer by Fombitz(32388)

Question 846675: Fill in the missing digits to complete the pattern. 8__, 72, __ 2, __ 2

Click here to see answer by Fombitz(32388)

Question 847207: I think of a number A.
When A is divided by 3, I get B.
When 40 is added to B, I get C.
When C is multiplied by 2, I am left with a number D, which is less than 100.
What is A?
Click here to see answer by swincher4391(1107)

Question 847199: sum of number of term between 100-600
first term 8
common difference 6
Click here to see answer by swincher4391(1107)

Question 847267: The sum of first 3 integers in an Arithmetic progression is 36. The sum of the next 3 integers is 72. What is the common difference between the terms?

Click here to see answer by stanbon(75887)

Question 847490: The three times of the, sum of ten and half of a number is sum of 6 and, a number decreased by 5
Click here to see answer by swincher4391(1107)

Question 847491: -0.1(x+80)+0.2x=8+0.03x
Click here to see answer by swincher4391(1107)

Question 847520: how many terms of the sequence 13,11,9..... makes the sum 45? Explain the answer
Click here to see answer by swincher4391(1107)

Question 847572: The form that gives a closed form or an equation for the sequence. You can plug in any term number and find the term value, without having to know the previous term value.
Click here to see answer by richard1234(7193)

Question 847701: How would i write the recursive and explicit formula for this sequence:
2, 1/2, 1/4, 1/8, ....
I think the explicit formula is something like a[n]= 1/2n
Click here to see answer by jim_thompson5910(35256)

Question 847871: What is the formula for this sequence:
21, 45, 77, 117, 165 ?

Click here to see answer by hamsanash1981@gmail.com(151)

Question 847871: What is the formula for this sequence:
21, 45, 77, 117, 165 ?

Click here to see answer by swincher4391(1107)

Question 847870: What is the formula for this sequence:
21, 45, 77, 117, 165 ?

Click here to see answer by swincher4391(1107)

Question 847944: in an A.P of 50 terms the sum of first 10 terms is 210 and the sum of it's last 15 terms is 2565 find A.P
Click here to see answer by KMST(5328)

Question 848190: The sum of two numbers is 11. Ten times the smaller number minus 5 times the larger number is 8. What are the two numbers?
Click here to see answer by swincher4391(1107)

Question 848421: what is the sum of 0 and 8?
Click here to see answer by pmesler(52)

Question 848434: find the next two numbers in the sequence:
5, 21, 12, 32, 24, 54
Click here to see answer by richwmiller(17219)

Question 848491: The sum n terms is given by sn=n/2(1+n) find the fifth term of the sequence
Click here to see answer by ewatrrr(24785)

Question 848493: Calculate the difference between Sinfinity to S7of 4+4/3+4/9+....
Click here to see answer by swincher4391(1107)

Question 848495: A rubber ball dropped from a height of 20m loses 20% of its previous height on each rebound. Calculate the height to which the ball will rise on the second rebound
Click here to see answer by ewatrrr(24785)

Question 848573: what is the next number for the sequence: 96, 69, 48, 72, 27, _
Click here to see answer by swincher4391(1107)

Question 848729: What are the next three geometric sequences after 160,80,40
Click here to see answer by stanbon(75887)

Question 849002: Formulas:

Click here to see answer by richwmiller(17219)

Question 849046: Solve a pattern 2,5,4,7,6,9_,_,_
Click here to see answer by richwmiller(17219)

Question 848902: Given that a,b,c, form a geometric sequence,show that loga:logb:logc form an arthimetic sequence
Click here to see answer by richard1234(7193)

Question 849058: i am thinking of a number i multiply it by 11 and subtract 165
Click here to see answer by stanbon(75887)

Question 849059: Find the common difference of the sequence 2, 7, 12, 17, 22, � What is the common difference ?
Click here to see answer by stanbon(75887)

Question 849062: Find the 12th term of the sequence an = n(n - 6).
Click here to see answer by stanbon(75887)

Question 849136: 27, ten, 15, 30 and 28: the 5th number is?
Click here to see answer by richwmiller(17219)

Question 849387: Evaluate each series using sum formulas.
3 + 6 + 12 + 24 + �; n = 8 ie the sum of the 1st eight terms

Click here to see answer by ewatrrr(24785)

Question 849386: Evaluate each series using sum formulas.
4 + 12 + 20 + 28 + �; n = 9 ie the sum of the 1st nine terms

Click here to see answer by ewatrrr(24785)

Question 849382: Find the two-hundredth term of the sequence: 1, 5, 9, 13, . . . .
Click here to see answer by ewatrrr(24785)

Question 849384: A partial sum of the arithmetic series is given. Find the sum: 3 + 5 + 7 + . . . + 101.
Click here to see answer by ewatrrr(24785)

Question 849495: Sum -(in summation notation)
lower limit is i = 3 and upper limit is n of:
(-3-4i) = -507
Find the value of n.
Click here to see answer by Edwin McCravy(20056)

Question 849495: Sum -(in summation notation)
lower limit is i = 3 and upper limit is n of:
(-3-4i) = -507
Find the value of n.
Click here to see answer by AnlytcPhil(1806)

Question 849383: Determine whether the series 3 - 1 + 1/3 - 1/9 + ... is convergent or divergent. If convergent, find its sum.
Click here to see answer by AnlytcPhil(1806)

Question 849418: Determine the sum of the natural numbers less than 100 which are not muliples of 5
Click here to see answer by AnlytcPhil(1806)

Question 849583: 1. The ratio of two numbers is 3 to 5. Their sum is 136. Find the two numbers show work.
Click here to see answer by ewatrrr(24785)

Question 849388: single number from 1 to 49 take 9 steps to addition the result 50.no numbers are repeted.

Click here to see answer by AnlytcPhil(1806)

Question 849304: find the nth term of the sequence 2, 7, 24, 49...

Click here to see answer by AnlytcPhil(1806)

Question 848987: Calculate the sum of all natural numbers from 100 to 200 both inclusive which are not divisible by 6
Click here to see answer by AnlytcPhil(1806)

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