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 633485: USE PRINCIPLE OF MATHEMATICAL INDUCTION TO PROVE THE FORMULA
1(1!) + 2(2!) + 3(3!) +......+n(n!) = (n+1)! - 1
Click here to see answer by Edwin McCravy(20056)

Question 633752: If y=0.25(100-y),then what is the value of y?
Click here to see answer by ewatrrr(24785)

Question 633954: Rewrite as an expression that does not contain factorials.
(n+2)!/(n)!
Click here to see answer by stanbon(75887)

Question 633954: Rewrite as an expression that does not contain factorials.
(n+2)!/(n)!
Click here to see answer by solver91311(24713)

Question 633958: Use synthetic division to find the quotient and remainder if the first polynomial is divided by the second.
5x^(3)-3x^(2)+6x-5; x-3
quotient=
remainder=
Click here to see answer by lwsshak3(11628)

Question 634054: What is the next number in this sequence? 2,5,26,677....
Click here to see answer by mananth(16946)

Question 634095: Write the explicit formula for the sequence. Then find the fifth term in the sequence.
a1 = 3 , r = -3
Click here to see answer by ewatrrr(24785)

Question 634229: What is the formula for the following arithmetic sequence? -2, 3, 8, 13, ..
Click here to see answer by jim_thompson5910(35256)

Question 634268: write sigma notation for the sequence
4-9+16-25+...+(-1)^n(n)^2
Click here to see answer by reviewermath(1029)

Question 634286: Find the sum of the series: 2 + 5 + 8 + 11 + ... + 59
Click here to see answer by richwmiller(17219)

Question 634284: Find the sum of the first 10 terms of the series defined by the formula:
a(n) = -2n + 5
Click here to see answer by jim_thompson5910(35256)

Question 634454: Find the period, range, and amplitude of the cosine function y = 3/2 cos t/2
Click here to see answer by lwsshak3(11628)

Question 634460: Is the formula an = -4n(n-1) explicit or recursive? Find the first five terms of the sequence.
Click here to see answer by jim_thompson5910(35256)

Question 634459: Find the arithmetic mean an of an-1 = 3.9, an+1 = 7.1
Click here to see answer by jim_thompson5910(35256)

Question 634458: Write a recursive formula for the sequence 8, 10, 12, 14, 16... Then find the next term.
Click here to see answer by jim_thompson5910(35256)

Question 634654: In the arithmetic sequence: a(sub 5) =0, and a(sub 25) =8. What is a(sub 2)?
Thank you very much for helping me out! For you time and everything! Thank you very much!
Click here to see answer by ewatrrr(24785)

Question 634655: In sequence 3, 7, 11, 15, 19..., find S(sub 50). If S(sub 0)= 3
Thank you so much in helping me!
Click here to see answer by ewatrrr(24785)

Question 634659: Use the remainder theorem to find f(c).
f(x)=2x^3-x^2+8x-4; c=2
Click here to see answer by nerdybill(7384)

Question 634665: Find the nth term, the fifth term, and the eighth term of the geometric sequence..
64, 16, 4, 1 ......
an=
a8=
Click here to see answer by nerdybill(7384)

Question 634668: Sequence: 3, -6, 12, -24, 48,..., find S(sub 20). If S(sub 0)= 3. Then find the sum through S(sub 20).
Thank you so much for your time, and everything in helping me understand this problem! Thank you!
Click here to see answer by ewatrrr(24785)

Question 634686: Hi could you please guide me through this? Thank you so much, and for your time!
Given a sequence is arithmetic find the 4 terms between 6 and 121.

Also:
Given the sequence is geometric find the 3 terms between 6 and 3.9366.
Thank you so much with these problems! Thank you a lot!
Click here to see answer by jim_thompson5910(35256)

Question 634715: Hi! Could you please help me out in this problem! Thank you so much, and for your generous time!
Find d (common diffrence) when a(sub 0) is 3/20. And a(sub 4) is 6/5.
Thank you once again!

Click here to see answer by stanbon(75887)

Question 634716: Please help me out in this sequence of finding r! Thank you so much!
Find r given a(sub 0) is -20. and a(sub 4) = -2500
Thank you for your time in helping me!
Click here to see answer by stanbon(75887)

Question 634886: Write an explicit rule for t(n) for the arithmetic sequence:
2, 5/3, 4/3, 1, 2/3, ..
Click here to see answer by ewatrrr(24785)

Question 634888: Write an explicit rule for t(n) of the geometric sequence below:
2, 3/2, 9/8, 27/32 .....
Click here to see answer by ewatrrr(24785)

Question 634956: Brett started a race at 6:30 a.m. and he did not cross the finish line until 1:05 p.m.. How long did it take for brett to finish the race?
Click here to see answer by Alan3354(69443)

Question 634979: State whether the following sequence is arithmetic, geometric, or neither.
4, 15, 26, 37, 48, 59, .
Click here to see answer by Alan3354(69443)

Question 634988: Use inductive reasoning to find a pattern, and then make a reasonable conjecture for the next number in the sequence.11 12 9 10 7 8 5 6
Click here to see answer by stanbon(75887)

Question 635192: find a[20] when a[1]=9 and d=2
Click here to see answer by ewatrrr(24785)

Question 635385: You invest $2,500 at an interest rate that is compounded annually. After 8 years, your principal has increased to $3,046.01. What percent is the interest rate?
Click here to see answer by reviewermath(1029)

Question 635863: a3=5, a8=1/625. How do I find A5 and An?
Ans: a5=5/8 and an=10(-1/20)^n-1
Click here to see answer by Alan3354(69443)

Question 635863: a3=5, a8=1/625. How do I find A5 and An?
Ans: a5=5/8 and an=10(-1/20)^n-1
Click here to see answer by MathTherapy(10552)

Question 636167: The product of a number and 19 decreased by 27 is 24
Click here to see answer by jim_thompson5910(35256)

Question 636277: Which of the following are the terms of sequence � 33, �26, �19, � 12.............?
Indicate all such terms
Click here to see answer by ewatrrr(24785)

Question 636692: How do i find the 15th term of the series 3,7,11,15...
Click here to see answer by jim_thompson5910(35256)

Question 637072: What are the next three numbers in this series of numbers?
1,3,9,19,33,51,73
Click here to see answer by checkley79(3341)

Question 637274: Find the sum of the first ten terms of the the series 1+4+16+64+256
Click here to see answer by KMST(5328)

Question 637625: find the next number in the sequence 1 7 33 159 785..........
Click here to see answer by MathLover1(20850)

Question 637907: three consecutive terms if an AP have sum 21 and product 315.find the three numbers of the arithmetic progression.

Click here to see answer by reviewermath(1029)

Question 637911: (a)if log x , log(x+2) , log(x+16) are three consecutive terms of an AP, find the value of x.
(B)the sixth terms of an AP is Twice the Second term and the fifth term exceeds the first term by 10.find first term and the common difference.
Click here to see answer by reviewermath(1029)

Question 638906: Determine whether or not the relation is a function.
{(-3, 6), (-2, 7), (-1, 8), (0, 9)}
Click here to see answer by KMST(5328)

Question 639064: What comes next in the sequence: 1, 3, 4, 7, 11 ......
Click here to see answer by MathLover1(20850)

Question 639074: 26. The first five terms of a linear sequence are given below. What is the next term of the sequence?
13, 18, 23, 28, 38, ____
There is a difference of 5 between every number, I got 38, but answers are :
A. 28
B. 10
C. 6
D. 32

Click here to see answer by solver91311(24713)

Question 639176: What is the sum of a 30�term arithmetic sequence where the first term is 73 and the last term is �101?
Click here to see answer by jim_thompson5910(35256)

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