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 893601: Use the Maclaurin expansion of sin x to find the value of sin 45 correct to four decimal places
Click here to see answer by Fombitz(32388)

Question 893952: Could I use these number pattern to predict the next 6,9,2,13,10,3
Click here to see answer by richwmiller(17219)

Question 894002: Find the next three numbers in the sequence and describe how you got that.
-20, -10, -20/3, -5, -4...
Click here to see answer by Fombitz(32388)

Question 894167: Use Gauss'e approach to find the following sum (Do not use formulas):
3+9+15+21+...69
The sum of the sequence is _____?
Click here to see answer by Edwin McCravy(20056)

Question 894325: If a^2-b^2=5 and a^3+b^3=35 then what is the value of a and b?
Click here to see answer by Fombitz(32388)

Question 894324: If a^2-b^=5 and a^3+b^3=35 then what is the value of a and b?
Click here to see answer by Fombitz(32388)

Question 894492: 1,11,21,1211,111221,312211,13112221,1113213211,31131211131221,13211311123113112211 What are the 3 next numbers and why? What is the pattern
Click here to see answer by richwmiller(17219)

Question 894515: Find the sum of the sequence.
39 + 40 + 41 + 42 + ... + 122
The sum is __.

Click here to see answer by AakarshM(2)

Question 894491: 1,11,21,1211,111221,312211,13112221,1113213211,31131211131221,13211311123113112211
Click here to see answer by richwmiller(17219)

Question 894745: a pattern in which 10,025 is the fifth term in a sequence of ten numbers

Click here to see answer by josgarithmetic(39618)

Question 894745: a pattern in which 10,025 is the fifth term in a sequence of ten numbers

Click here to see answer by Edwin McCravy(20056)

Question 894774: 5/7 + x/y = 120
Click here to see answer by Alan3354(69443)

Question 893471: What's the equation for the following sequence:
2, 5, 6, 11, 12, 19, 20?

Click here to see answer by Edwin McCravy(20056)

Question 894813: Can somebody please help me out? I need help with sequence and series. Below is a problem that I need to solve using arithmetic series.
1)An embroidery pattern calls for five stitches in the first row and for three more stitches in each successive row. The 25th row, which is the last row, has 77 stitches. Find the total number of stitches in the pattern.

2) Then create your own sequence or series for your class to solve.
Click here to see answer by Theo(13342)

Question 894815: Inverse Functions.
1)Explain how to find the inverse of a function when the function is given in each of the following formats.
a)As a table of inputs and outputs.
b)As a graph.
c)As a equation.

2)Explain how to determine if two functions in equation form are inverses of each other and give a sample pair of functions for your classmates to practice determining if they are functions.
Click here to see answer by Theo(13342)

Question 894952: The problem I'm stuck on is as follows: "Find three consecutive whole numbers whose sum is 133." I really thought the formula "x + (x+1) + (x+2) = 133" was the correct one, but, I keep ending up with "x = 43.333333333333333333333.....", which doesn't seem to satisfy the problem. What am I doing wrong?
Click here to see answer by richwmiller(17219)

Question 894994: Let A = {0, 2, 4, 6}, and B = {1, 2, 3, 4, 5}. List the elements of {x| x is in A and x not in B}.( Enter your answers as a comma-separated list. Enter ∅ for the empty set.)
Click here to see answer by reviewermath(1029)

Question 895102: (1)For a,x>0 prove that at most one term of the G.P (a-x)�,(x)�,(a+x)� can be rational.
Click here to see answer by richard1234(7193)

Question 895242: Please help me solve this equation: 54 + (2 � 103) � 400 � 51
Click here to see answer by josgarithmetic(39618)

Question 895112: the third term of G.P. is square of first term.if the second term is 8. find the 6 term.

Click here to see answer by richwmiller(17219)

Question 896315: What is the distance between (1,5) and (1,2)
Click here to see answer by josmiceli(19441)

Question 896119: 5Odd number added to get
Click here to see answer by richwmiller(17219)

Question 896351: Hi I need help with this math problem. -7+40 has to be arithmetic sequence, what are the first three terms? How can I solve this problem?
Click here to see answer by stanbon(75887)

Question 896437: What is the sum of the first 1000 integers starting from 1?
Thanks

Click here to see answer by josgarithmetic(39618)

Question 896437: What is the sum of the first 1000 integers starting from 1?
Thanks

Click here to see answer by MathTherapy(10552)

Question 896520: evaluate : 1^2 - 2^2 + 3^2 - 4^2 + .......- 2012^2 + 2013^2
Click here to see answer by Edwin McCravy(20056)

Question 896784: i just want to know the pattern of numbers.
260, 539, 771, 205, 196, 823, 880
mean how 539 came after 260 or 823 after 196
Click here to see answer by richwmiller(17219)

Question 896823: I can't seem to figure out how to start with this problem...
The sum of the first two terms of a geometric sequence is 9. The sum to infinity of the corresponding geometric series is 12. Find all possible values of the first term and the common ratio.
Click here to see answer by rothauserc(4718)

Question 896854: The Sum of A Number and 3 is 18
Click here to see answer by JulietG(1812)

Question 896969: Determine the number of terms in the arithmetic series where a1=19, an=89 and Sn= 810

Click here to see answer by richwmiller(17219)

Question 896970: Determine the number of terms in the arithmetic series where a1=19, an=89 and Sn= 810
Click here to see answer by richwmiller(17219)

Question 896651: find the sequence formula of 93 98 103 108 113
Click here to see answer by richwmiller(17219)

Question 897665: is the sequence 2, 6, 12, 20 arithmetic, geometric, or neither?
Click here to see answer by Edwin McCravy(20056)

Question 897734: What is 12/15th divided by 1/7th
Click here to see answer by Fombitz(32388)

Question 897840: If 3rd term of an A.P is four times the first term and 6th term is 17, find the A.P
Click here to see answer by ewatrrr(24785)

Question 897971: 2+2
Click here to see answer by Edwin McCravy(20056)

Question 897976: so, i don't actually know if this catagory is correct but I believe it is. The question is "What is a quick way to see that the value of the sum 53 + 18 + 47 + 82 is 200?" and I figured just add them together but that seems like not the right answer. Thanks again
Click here to see answer by ankor@dixie-net.com(22740)

Question 898128: There are 8436 steel balls, each with a radius of 1 centimeter, stacked in a pile, with 1 ball on top,3 balls in the second layer, 6 in the third layer, 10 in the fourth, and so on. The number of horizontal layers in the pile is..?
Click here to see answer by josgarithmetic(39618)

Question 897968: (2,5)(9,2) what is the slope of the line that passes through the points
Click here to see answer by Fombitz(32388)

Question 897403: 12,53,207,618,?
whats the next number and how

Click here to see answer by Fombitz(32388)

Question 898256: 24r^4+30r^3b-9r^2b^2
Click here to see answer by Fombitz(32388)

Question 898312: Find all the possible values of x such that this sequence is geometric: x,12,9x
Click here to see answer by DrBeeee(684)

Question 898380: What's is the sequence ; 22,47,75,s? Please help me get the last 3 number/letters.
Click here to see answer by stanbon(75887)

Question 898452: Describe each pattern:
a) 2, 5, 9, 14, ...
b) 97, 88, 78, 67, ...
c) 1, 11, 111, 1111, ...
Click here to see answer by richwmiller(17219)

Question 898492: What is the number that best completes the sequence on: 2 9 5 13 10 19 17
Click here to see answer by richwmiller(17219)

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