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 693229: Q- What is the difference between the sum of the following set of numbers estimated to the nearest tenth and the exact sum?
42.45 + 1.6 + 6.48 + 19 + 25.52
Thank you for your help with this one, I don't understand the question at all, let alone the answer. Thank you!!
Click here to see answer by duhnetsu(1)

Question 761754: given the sequence: 5,8,11,......,101 find the number of terms
Click here to see answer by Edwin McCravy(20056)

Question 762816:
Click here to see answer by kibauu(44)

Question 762889: how many terms of the series 24,20,16...must be taken that the sum may be 72?
Click here to see answer by sachi(548)

Question 762771: Find all geometric sequences in which t3 + t4 = 36 and t5 + t6 = 144

I know one could be t1=3 t2=6 t3=12 t4=24 t5=48 t6=96
That would fit the question, but i'm assuming there's more than one geometric sequence that fits? There is two questions like this on my assignment. Don't know how to go about finding multiple sequences
Click here to see answer by MathLover1(20850)

Question 763124: 1, 101, 15, 4, 29, -93, 43, -190, ?
Click here to see answer by Alan3354(69443)

Question 763244: A sequence satisfies following condition.
Calculate
, (n=1,2,3...)
Click here to see answer by DrBeeee(684)

Question 763358: a2=6
a7=192
q=?
Click here to see answer by Edwin McCravy(20056)

Question 763450: Which of the following groups contains three fractions that are equal?
1/2, 1/4, 1/8
1/2, 2/4, 5/8
2/3, 4/9, 8/27
2/3, 6/9, 12/18
4/5, 7/10, 16/20

Click here to see answer by Alan3354(69443)

Question 763603: Sir/ma'am,
Please explain the sequence to me
2,7,5,9,9,1,14,13,---,---
answer is 20,15
thanks
Click here to see answer by ramkikk66(644)

Question 763848: In a series with common difference 2, 25 is a term in the series. Find the next perfect square in the series?
Click here to see answer by tommyt3rd(5050)

Question 763893: What is the next term and how?
0,1,2,3,6,_
Click here to see answer by fcabanski(1391)

Question 764170: A wall is built by 17 men in 24 days. In how many days can 18 men do the work if hours per day are reduced in the ratio 5:4?
Click here to see answer by josgarithmetic(39618)

Question 764186: I need help please
Complete the sequence:
1, (2, 3), 2, (5, 6), 4, (11, 30), 26 (?, ?), ?

Click here to see answer by stanbon(75887)

Question 764232: 100 95 85 70 50 ?
Click here to see answer by Cromlix(4381)

Question 764232: 100 95 85 70 50 ?
Click here to see answer by tutor_123(2)

Question 764446: 1,18,52,?,171
Click here to see answer by Alan3354(69443)

Question 764474: 2 4 11 22 44 121 242
what is the next number ?

Click here to see answer by tutor_123(2)

Question 764513: The nth term of a geometric term is 3^-n, the unlimited sum of the sequence is?
Can you please help me to solve this, I have no idea how to. Thank you!
Click here to see answer by ramkikk66(644)

Question 764635: How to do this sum 20/12 in fraction form?
Click here to see answer by Alan3354(69443)

Question 764637: How to do this sum 20/12 in fraction form?
Click here to see answer by Alan3354(69443)

Question 764638: How to do this sum 20/12 in fraction form
Click here to see answer by Alan3354(69443)

Question 764648: 2, 6, 12, ?, 108

Click here to see answer by josgarithmetic(39618)

Question 764514: Please help. How do I solve this?
The sum of the first n terms is Sn= n/2 (3n-17). What is the nth formula?
Thank you!
Click here to see answer by ssasr(5)

Question 764507: If T(N)=5n-2 what is the second term?
Click here to see answer by ssasr(5)

Question 764421: if the team lost 15 matches more than it won in year 2001 .if team played 35 matches how many matches did they lose?

Click here to see answer by ssasr(5)

Question 764695: based on series pattern what will be the missing term out of the these 5,8,14,26,50,98,?
Click here to see answer by Cromlix(4381)

Question 764649: -5, -5, -10, -15, -27, ?

Click here to see answer by Cromlix(4381)

Question 764900: pls help me in solving dis?
4+5+9 =30
9+6+16 =43
16+7+25=58
25+17+36=?
Click here to see answer by ramkikk66(644)

Question 765169: if the sum of 5% of a and 4% of b is 2/3 of sum of 6% of a and 8%of b then find out a:b
Click here to see answer by stanbon(75887)

Question 765171: 100 96 104 88 120 56 what is the next number in this series of numbers?
Click here to see answer by stanbon(75887)

Question 765187: Find the following four terms of the sequence given the following recursive formula:
a(1)=8 a(2)=-3 and a(n)=2a(n-1)+a(n-2) for n≥3
Click here to see answer by Edwin McCravy(20056)

Question 765251: of 5x workers can build a car in 4y days how many days will it take 2z work at the same rate to build the same car?
Click here to see answer by josgarithmetic(39618)

Question 765337: The first term of geometric sequence is a^-4, the second term is a^x. If the 8th term is a^52, what is the value of x?
Please advise me how to solve this,
I figured out a^x= ar and ar^7 = 52, and I don't know where it goes from here.
Thank you
Click here to see answer by Theo(13342)

Question 765510: Please help me determine a formula for the nth term of a geometric sequence where term 1 = 4 and term 13 = 16 384
Click here to see answer by ramkikk66(644)

Question 765625: Find the Infinite G.P. whose second term is 2/9 and sum to infinity is unity.
Click here to see answer by ramkikk66(644)

Question 765572: Please help solve this. It would help me a lot in reviewing for my final exam. Thank you so much!
A rubber ball is dropped from a height of 12 feet. If it rebounds one-third of the distance it has fallen after each fall, a) how far will it rebound the 8th time? b) through what distance has it traveled when it strikes the ground the 10th time?

Click here to see answer by ramkikk66(644)

Question 765336: (-5)+(11)=

Click here to see answer by tommyt3rd(5050)

Question 765900: The sum of two numbers is 134. One of the numbers is 87. What is the other?
Click here to see answer by ramkikk66(644)

Question 765882: The sum of 4 consecutive multiples of 12 have a sum of 216. What is the greatest of these numbers?
Click here to see answer by suruman(21)

Question 765922: eliminate x from the following
2 2
x + l
- -
2 2
l x
Click here to see answer by tommyt3rd(5050)

Question 766014: the ratio of two numbers is 7 to 3 and the sum of their squares is 232. what is the number.
Click here to see answer by solver91311(24713)

Question 766108: The speed of a train 150 meter long is 50 kmph. How much time it will take to pass a platform 600 m long ?
Click here to see answer by lwsshak3(11628)

Question 766107: The average speed of a tractor is two-fifths the average speed of a car .The car covers 450 kms, in 6 hours. How much distance will the tractor cover in 8 hours ?
Click here to see answer by lwsshak3(11628)

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