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 1110010: The xth, yth, and zth terms of a sequence are X,Y,Z respectively. Show that if the sequence is arithmetic then X(y-z) + Y(z-x) + Z(x-y)=0.

Click here to see answer by Edwin McCravy(20056)

Question 1110008: The xth, yth, and zth terms of a sequence are X,Y,Z respectively. Show that if the sequence is arithmetic then X(y-z) + Y(z-x) + Z(x-y)=0.

Click here to see answer by KMST(5328)

Question 1110092: find the sum of even integers between 21 and 99
Click here to see answer by greenestamps(13200)

Question 1110108: I reserve those number :13 25 12 15 22 5 to 5 22 51 21 52 31
I forget the meaning of it..
Pls help me
Click here to see answer by math_helper(2461)

Question 1110108: I reserve those number :13 25 12 15 22 5 to 5 22 51 21 52 31
I forget the meaning of it..
Pls help me
Click here to see answer by ikleyn(52787)

Question 1110202: [24,3,9] , [38,8,11] , [40,13,7] , [?,1,3]
What is the missing number?
Click here to see answer by ikleyn(52787)

Question 1110215: Given the sequence 3;6;9;.....;60.
a)Determine the number of terms in the sequence
b)Determine the sum of the terms in the sequence
Click here to see answer by greenestamps(13200)

Question 1110216: Given the sequence 3;6;9;....;60.
a)Determine the sum of all the natural numbers from 1 to 60 which are not multiples of 3.

Click here to see answer by math_helper(2461)

Question 1110258: The second, fourth and eight terms of an A.p from the first three consecutive terms of a G.P. the sum of the third and fifth terms of the A.p is equal to 20. Find the (a) first 4 terms of the A.p
(b) sum of the first 10 terms of the A.p.
Click here to see answer by mananth(16946)

Question 1110286: [24,20,2] , [28,3,5] , [69,?,8] , [4,3,1]
24-20/2 = 2
28-3/5 = 5
69-?/8 =
4-3/1 = 1
Do you think the question is wrong? or I got the wrong common rule?
Click here to see answer by math_helper(2461)

Question 1110298: The second, fourth and eight terms of an A.p
form the first three consecutive terms of a G.P.
the sum of the third and fifth terms of the A.p is
equal to 20. Find the (a) first 4 terms of the A.p
(b) sum of the first 10 terms of the A.p.
Click here to see answer by greenestamps(13200)

Question 1110299:
Click here to see answer by Fombitz(32388)

Question 1110320: The sum of three consecutive terms of
an A.p is 6, while their product is -90, find the
common difference.
Click here to see answer by ikleyn(52787)

Question 1110308: The sum of three consecutive terms of an A.p is 6, while their product is -90, find the common difference.
Click here to see answer by ikleyn(52787)

Question 1110479: your sequence is as follows 1;5;14;30;55 and 8^th term is 204.
a)what type of sequence is this?
b)find the nth formula
Click here to see answer by rothauserc(4718)

Question 1110572: find the first five terms of the arithmetic progression whose seventh and twenty-third terms are -5 and -29
Click here to see answer by ikleyn(52787)

Question 1110572: find the first five terms of the arithmetic progression whose seventh and twenty-third terms are -5 and -29
Click here to see answer by josgarithmetic(39617)

Question 1110309:
Click here to see answer by Alan3354(69443)

Question 1110866: When the smaller of two consecutive integers is added to two times the larger the result is 23. Find the integers
Click here to see answer by ewatrrr(24785)

Question 1110915: the first three terms of an arithmetic projection are x,2x+1 and 5x+1.find x and the sum of the first 10 terms
Click here to see answer by ikleyn(52787)

Question 1110933: Type the missing number in this sequence:
36, 29,, 15,8,1
Please help me solve this equation!

Click here to see answer by KMST(5328)

Question 1110999: Number series
13 6 12 7 3 6 4
Click here to see answer by ikleyn(52787)

Question 1111116: 2,12,36,80,150,? Series comoletion

Click here to see answer by math_helper(2461)

Question 1111116: 2,12,36,80,150,? Series comoletion

Click here to see answer by ikleyn(52787)

Question 1111179: Hello Online Tutors! Here's my question:
If a5=100 and a11=10 are the two terms of an arithmetic sequence, then what is the value of a9?
Thanks to anyone who can help!
Amelia B
Click here to see answer by ikleyn(52787)

Question 1111176: 2, 7, 26, 101, 400, ?
Find the next number in the sequence
Click here to see answer by ikleyn(52787)

Question 1111176: 2, 7, 26, 101, 400, ?
Find the next number in the sequence
Click here to see answer by TeachMath(96)

Question 1111187: Hello again online tutors! Here's my question:
If x-5, 2x, and 4x+6 are the first three terms of an arithmetic sequence, find x and the value of the three terms.
Thank you to anyone who can help!
Amelia B
Click here to see answer by ikleyn(52787)

Question 1111225: in the jama's sequence each number after the second term is sum of the two terms before it plus (2:2:5:8:14:23:38)

Click here to see answer by ikleyn(52787)

Question 1111290: Can u please help me find the explicit formula for the series given the recursive formula ( a sub n= 3a sub (n-1)+1)
Click here to see answer by math_helper(2461)

Question 1111290: Can u please help me find the explicit formula for the series given the recursive formula ( a sub n= 3a sub (n-1)+1)
Click here to see answer by greenestamps(13200)

Question 1111388: What is the sequence generator for the terms -8.7, -5.4, -2.1, 1.2

Click here to see answer by ikleyn(52787)

Question 762427: 12 8 14 18 _____
whts d nxt numbr...????
Click here to see answer by portaminas(1)

Question 762427: 12 8 14 18 _____
whts d nxt numbr...????
Click here to see answer by ikleyn(52787)

Question 1111412: 9, 15, 28, 45...
Click here to see answer by Alan3354(69443)

Question 1111515: What is the general rule for the following terms{2,1,4,4,6,9,8}
Click here to see answer by Edwin McCravy(20056)

Question 1111662: 60, 30, 20, 15,
Click here to see answer by KMST(5328)

Question 1111661: please help me solve this question:a rubber ball is dropped from a height of 10 meters,suppose it rebounds half the distance after each fall,find the total distance the ball travels.
thank you
Click here to see answer by rothauserc(4718)

Question 1111732: the sum of second term and 3rd terms of geometric sequences is 280 and sum of fifth and sixth term is 4375 determine common ratio and 1st term
Click here to see answer by ikleyn(52787)

Question 1111826: 55 or 5 ,79 or 9=100

Click here to see answer by math_helper(2461)

Question 1111825:
Click here to see answer by Alan3354(69443)

Question 6529: Please help me solve

Click here to see answer by amalm06(224)

Question 6529: Please help me solve

Click here to see answer by TeachMath(96)

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