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 1065636: A.p=1,2,3,4........49
Find a number in a.p such that sum of numbers before it is equal to sum of numbers after it....
Please answer fast...
Click here to see answer by rothauserc(4718)

Question 1065937: Find The 12th In The Sequence a(n) = -5 + 6(n - 1)
Click here to see answer by ikleyn(52788)

Question 1065935: The sum of the first 4 terms of geometric series is 15 and sum of the next four terms is 240. Determine the positive constant ratio.
Click here to see answer by KMST(5328)

Question 1066050: using the proof of induction to prove
N
(summation symbol)E (i+1)i(i-1)=(N/N+1))/2^2 - N(N+1)/2
i=1
is valid for all integers N(>=0)
Click here to see answer by ikleyn(52788)

Question 1066079: Use the infinite geometric sum formula to write 0.757575... as a fraction in reduced form. Show all steps neatly.
Click here to see answer by math_helper(2461)

Question 1066077: Calculate S_35 for the arithmetic sequence in which a_5=19 and the common difference is d=-1.3.
Click here to see answer by rothauserc(4718)

Question 1066076: Find the missing terms of the arithmetic sequence...
27, ?, ?, ?, 53,...
Show each step of the process clearly.
Click here to see answer by rothauserc(4718)

Question 1066083: x c c o b _ _ _
Click here to see answer by ikleyn(52788)

Question 1066380: The sum of the fifth and seventh terms of an arithmetic series is 38,while the sum of the first fifteen terms is 375.
Determine the first term and the common difference

Click here to see answer by josgarithmetic(39618)

Question 1066404: Hi
Sequence therm for 7,7,9,13 .
Best regards, thanks
Francisco Cardoso
Click here to see answer by Fombitz(32388)

Question 1066420: what is the missing number in this sequence,
16,06,68,88,?,98
Click here to see answer by MathTherapy(10552)

Question 1066420: what is the missing number in this sequence,
16,06,68,88,?,98
Click here to see answer by ikleyn(52788)

Question 1066410: Hi
General formula resolution of the sequence : 7,7,9,13,19,... .
Best regards, thanks
Francisco Cardoso
Click here to see answer by ikleyn(52788)

Question 1066497: Find the arithmetic mean of second and third term of a geometric progression of real numbers such that the sum of its first four terms is equal to 30 and the sum of the squares of the first four terms is equal to 340.
Click here to see answer by ikleyn(52788)

Question 1066574: How i can show the series 1 5 14 30 55 into the pl/sql
Click here to see answer by stanbon(75887)

Question 1066760: The sum of the digits of a two-figured number is 9. If the digits are interchanged, the number obtained is only 3/8 as large as the original number. Find the number.
Click here to see answer by josgarithmetic(39618)

Question 1066688: Find the next 3 term in the sequence 2.5 0.5 -1
Click here to see answer by Edwin McCravy(20056)

Question 1059829: Find the infinite limit (sum) if it exists
36/7+24/7+16/7+32/21+...

Click here to see answer by Edwin McCravy(20056)

Question 1060039: Find the infinite limit (sum) if it exists
36/7,24/7,16/7,32/21,.....
Click here to see answer by tutoringMyWay(1)

Question 1066887: If the 5th and the 6th term of an AP are 2 and 12 respectivly, find d 16th term
Click here to see answer by ikleyn(52788)

Question 1066918: Write a recursive rule for the sequence : find the next two terms.
1,4,4,16,64......
I know they are multiplying a1xa2 then a2xa3 etc thus next two numbers are 1024 and 65536. But don't understand how to write the rule for this?
Click here to see answer by rothauserc(4718)

Question 1066973: The mean of a set of five numbers is 3k. When a sixth number is added to the set, the mean increases by k. What is the ratio of the sixth number to the sum of the first five numbers? Express your answer as a common fraction.
Click here to see answer by ankor@dixie-net.com(22740)

Question 1066982: Which of the following describes the sequence 20, 28, 36, 44,....?
A. t = n + 8
B. t = n - 8
C. t = 30n - 10
D. t = 8n + 12

Click here to see answer by josgarithmetic(39618)

Question 1067054: 7 + 11 + 15 + 19 + ..... + 55 = ?
Click here to see answer by Alan3354(69443)

Question 1067062: 4,16,37,58,89,...
Click here to see answer by rothauserc(4718)

Question 1067137: In Arithmetic series, the 3rd term is twice the 8th term. Find the sum of the first 25 terms
Click here to see answer by rothauserc(4718)

Question 1067203: 11^3 - 10^3 - 10^3 + 9^3 = ?
Is there an easier way to solve this?
Click here to see answer by Alan3354(69443)

Question 1067203: 11^3 - 10^3 - 10^3 + 9^3 = ?
Is there an easier way to solve this?
Click here to see answer by rothauserc(4718)

Question 1067235: 1 node has zero connections, 2 nodes has 1 connection, 3 nodes has 3 connections, and 4 nodes has 6 connections. how many connections exist with n nodes?
Click here to see answer by Boreal(15235)

Question 1067238: 16, 7, -2, -11 next 3 sequence nmbers
Click here to see answer by Boreal(15235)

Question 1067098: Ron attends a cocktail party (with his graphing calculator in his pocket). He wants to limit his food intake to 113 g protein, 103 g fat, and 132 g carbs. According to the health conscious hostees, the meatballs have 14g of protein, 7g fat, and 15g carbs. Mushrooms have 3g protein, 5g fat, and 9g carbs. The deviled eggs have 13g protein, 15g fat, 6g carbs. How many of each snack can he eat to obtain his goal. (Work if possible)
Click here to see answer by chen.aavaz(62)

Question 1067318: -10, -7,-4,-1
0,1.5,3,4.5
5,8,12,17
-29,-20.5,-21,-21.5
I really don't understand how to do these can you help me out please

Click here to see answer by josgarithmetic(39618)

Question 1067318: -10, -7,-4,-1
0,1.5,3,4.5
5,8,12,17
-29,-20.5,-21,-21.5
I really don't understand how to do these can you help me out please

Click here to see answer by MathTherapy(10552)

Question 1067317: -10, -7,-4,-1
Click here to see answer by ikleyn(52788)

Question 1067616: How do you get 60 out of (-2)(-6)(-5)(-1)
Click here to see answer by Alan3354(69443)

Question 1067633: please i need help with these questions.
1. given that(2-3k),(2k+3),(k+7), where k is a constant, are three consecutive terms of linear sequence(A.P),find its common difference.

Click here to see answer by rothauserc(4718)

Question 1067609: -3,2,7 what is the next two terms of this sequence
Click here to see answer by LinnW(1048)

Question 1067829: Prove that none of the terms of this sequence are perfect squares. :2;5;8;....
Click here to see answer by ikleyn(52788)

Question 1067899: Find the 4th and 8th term of the series 6,4,3,...
Click here to see answer by ikleyn(52788)

Question 1067905: insert the three means between 12 and 28,812
Click here to see answer by Alan3354(69443)

Question 1067945: make a conjecture about the number of squares in the nth sketch:
pattern1: 3 squares, pattern 2: 5 squares,pattern 3:7 squares and so fourth
MY ANSWER? I CAN CONJECTURE THAT IF THE PATTERN CONTINUES YOU CAN ADD 2 TO THE PREVIOUS COUNTING NUMBER TO GET THE NEXT TERM. is this right?
Click here to see answer by Theo(13342)

Question 1068010: Sum the following term of progression to the last term, logx, logx^2 logx^3.... logx^120
Click here to see answer by ikleyn(52788)

Question 1068073: 22;10;88;...?
Click here to see answer by ikleyn(52788)

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