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 972576: the number of sequence 17, if the second is 3. what is the first number?
Click here to see answer by josgarithmetic(39618)

Question 972585: ....,3,17 what's the first number in the sequence
Click here to see answer by josgarithmetic(39618)

Question 972722: 1. Find the coefficient a of the term in the expansion of the binomial.
Binomial:
Term:

Click here to see answer by stanbon(75887)

Question 972723: Find the specified nth term in the expansion of the binomial. (Write the expansion in descending powers of x.)
, n=4
Click here to see answer by amarjeeth123(569)

Question 972740: Show that a1,a2,a3....an form an AP where an is defined as
an= 3+4n
Click here to see answer by amarjeeth123(569)

Question 972742: If the sum of the first n terms of an AP is 4n-n square,what is the first term. What is the first two terms,second term.
Click here to see answer by amarjeeth123(569)

Question 972828: the value of the sum in the 50th bracket of (1)+(2+3+4)+(5+6+7+8+9)+��is
Click here to see answer by anand429(138)

Question 973104: Please Help
Find the following sum: 1+2+4+8+...+2^k-1
I tried to set it out the following way
1+2+4+8...+2^k-1,?,?,?
2^k-1+?+?+?...+8+4+2+1
Click here to see answer by stanbon(75887)

Question 973175: The number of the sequence is 17, if the second is 3, what is the first number??
Click here to see answer by josgarithmetic(39618)

Question 973177: What is thefirst number ina sequence where 3 is the second number and 17 is thenext number?
Click here to see answer by josgarithmetic(39618)

Question 973176: The sequence of a number is 17 if the second is 3 what is the first number?

Click here to see answer by Alan3354(69443)

Question 973208: Indicate whether each of the following sequences,
(A) is geometric, arithmetic, or neither.
(B) If geometric, give the common ratio. If arithmetic, give the common difference.

1. ( 8,11,13,15,...)
2. (3,-6,12,-24,...)
3. (8,12,16,20,...)
Click here to see answer by Boreal(15235)

Question 973094: Insert two arithmetic means between -7 and 2.
Click here to see answer by Edwin McCravy(20056)

Question 973178: What is the first number in a sequence where 3 is the second number and 17 is the next number?
Click here to see answer by josgarithmetic(39618)

Question 973220: The number of sequency is17 , the second number is 3 , whats the first number ?
Click here to see answer by Alan3354(69443)

Question 973247: 27, -9, 3, -1 whats next
Click here to see answer by crystal5213(2)

Question 973330: My book says that the sum of the first 10 terms of the sequence {300,150,75,...} is
Why is this? Using the formula I got
Am I wrong? Or is my answer simply in a different form? If so, please explain how I can arrive at the answer similar to the one found in my book.
Much Thanks.
Click here to see answer by jim_thompson5910(35256)

Question 973329: My book says that the sum of the first 10 terms of the sequence {300,150,75,...} is
Why is this? Using the formula I got
Am I wrong? Or is my answer simply in a different form? If so, please explain how I can arrive at the answer similar to the one found in my book.
Much Thanks.
Click here to see answer by josgarithmetic(39618)

Question 973403: 1. the sum of 1/3 of 60 and 1/2 of 50
2. one fourth of the product of (24x5)

Click here to see answer by macston(5194)

Question 973163: if arithmetic mean and geometric mean are inserted between a and b, such that arithmetic mean is double the geometric mean . show that ratio of a and b is [2+(3)^(1/2)]/[2-(3)^(1/2)]
Click here to see answer by Edwin McCravy(20056)

Question 973376: The sum of numbers in a sequence is 17, if the second is 3, what is the first number?

Click here to see answer by Finlay(2)

Question 973390: The number of the sequence is 17 and if the second number is 3 what is the first number
Click here to see answer by Alan3354(69443)

Question 973377: The number of a sequence is 17, if the second is 3, what is the first number?
Click here to see answer by Alan3354(69443)

Question 973365: the number of the sequence is 17, if the second is 3 what is the first number
Click here to see answer by Alan3354(69443)

Question 973359: what is the first number if the number of sequency is 17 and the second is 3The number of sequency is 17 if the second is three
Click here to see answer by Alan3354(69443)

Question 973367: number of the sequence is 17 if the second is 3 what is the third number
Click here to see answer by Alan3354(69443)

Question 973491: 1/2;4;1/4;7;1/8;10 how to find the sum of the sequence
Click here to see answer by Edwin McCravy(20056)

Question 973253: how to solve sequence a(n)=12-3(n)
Click here to see answer by Edwin McCravy(20056)

Question 973576: the number of the sequence is17 and the second number is 3 whats the first number ...... 17,3 whats the first one
Click here to see answer by Alan3354(69443)

Question 973694: Write a possible explicit rule for the nth term of the sequence. Then find the 20th term. (5, -10, 20, -40, 80, -60)
*I think the answer for the 20th term is -2,621,440 but i'm not sure
Click here to see answer by Edwin McCravy(20056)

Question 973875: Write the nth term of the geometric sequence as a function of n.
,
Click here to see answer by Edwin McCravy(20056)

Question 972588: Subset is (1,3,5,7,9,11,13,15)
()+()+()=30
Click here to see answer by Edwin McCravy(20056)

Question 973869: The Number Of The Senquence Is 17 If The Second Is 3 What Is The First Number?
Click here to see answer by JulietG(1812)

Question 972748: Find the specified nth term in the expansion of the binomial. (Write the expansion in descending powers of x.)
, n=4
Click here to see answer by Edwin McCravy(20056)

Question 972748: Find the specified nth term in the expansion of the binomial. (Write the expansion in descending powers of x.)
, n=4
Click here to see answer by MathTherapy(10552)

Question 973860: The firsr three terms of arithmetic sequence are 2x-4,x-3,8-x dertemine the value of x nd calculate the value of b and d.
Click here to see answer by josgarithmetic(39618)

Question 973949: Can you help me filling this sequence and tell me why..?
3 27 x 243 243
Thanks in advance.
Click here to see answer by rothauserc(4718)

Question 973866: Write the nth term of the geometric sequence as a function of n.
,
The underscore denotes a value in subscript, and thank you!!
Click here to see answer by rothauserc(4718)

Question 973939: For two numbers A.M=10 and G.M=8, then
H.M=?
a) 9 b) 8.9 c) 6.4 d) None
Click here to see answer by Alan3354(69443)

Question 974040: Is 310 a term of the sequence 3,8,13,.......?
Click here to see answer by josgarithmetic(39618)

Question 974064: What is the next letter.
OFFT
Click here to see answer by Alan3354(69443)

Question 974138: Glenn bought a car for 600,000. The yearly depreciation of his car is 10 percent of its value at the start of the year. what is its value after 4 years?
Click here to see answer by josgarithmetic(39618)

Question 974148: Given (x+iy)(3-i)=-i , where x and y are real numbers.Determine x and y .
Click here to see answer by josgarithmetic(39618)

Question 974209: Find the sum of the geometric series: 24+ 16+ 32/3+ ...
Click here to see answer by Boreal(15235)

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