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 758002: find possible missing terms for 6,_,96
Click here to see answer by Alan3354(69443)

Question 758009: find a recursive definition for 3,21,39...
Click here to see answer by oscargut(2103)

Question 758000: find the sumn of the infinite series
4,2,1,1/2...
Click here to see answer by oscargut(2103)

Question 758153: Find the sum of the first 4 terms of the geometric series where t3 = -81 and r = 3.

Click here to see answer by josgarithmetic(39618)

Question 758581: In a geometric series, t1=3 and s3=21. Find the common ratio and the sum of the first 7 terms.
Click here to see answer by reviewermath(1029)

Question 758750: What value of r makes -6r+2(r+2)-5=-20 true?

Click here to see answer by tommyt3rd(5050)

Question 758723: The sum of the first three terms of a geometric progression (GP) is 38; and the fourth term exceeds the first by 19. find the value of the first term and of the common ratio.

Click here to see answer by htmentor(1343)

Question 759139: What should be the next number in the following series? 1 2 8 48 384 _ ?_
Click here to see answer by jim_thompson5910(35256)

Question 759179: Use the explicit formula an=a1+(n-1)d to find the 1000th term of the sequence below.
24,31,38,45,52,..
Click here to see answer by stanbon(75887)

Question 756052: a1 = 2, a6 = 486, r = 3
Click here to see answer by tommyt3rd(5050)

Question 758998: find sum of infinite series 1/2^n
and series -1/2^n
Click here to see answer by htmentor(1343)

Question 759316: Please solve for x when:
11 = x% of 51
Click here to see answer by Cromlix(4381)

Question 759374: What is the next term of the following sequence?

20, 10, 5, 21/2, ...
Click here to see answer by jim_thompson5910(35256)

Question 759704: On a recent trip, Asha drove 204 miles on 31/5 gallons of gasoline. Calculate how many miles per gallon she gets in her vehicle
Click here to see answer by josmiceli(19441)

Question 759700: he first ten terms of a sequence whose first term is -10 and whose common difference is -2.
Click here to see answer by sachi(548)

Question 759843: Write a rule for the sequence. Then find the next three terms.
6, 8, 10, 12, . . .
Start with 2 and add 6 repeatedly; 20, 22, 24
Start with 6 and add 2 repeatedly; 14, 16, 18
Start with 6 and add 2 repeatedly; 20, 22, 24
Start with 2 and add 6 repeatedly; 14, 16, 18

Click here to see answer by josgarithmetic(39618)

Question 760039: how many code can be calculated of five digit from 0 to 9?
Click here to see answer by Alan3354(69443)

Question 760241: The 3rd term of a G.P is 360 and the 6th term is 1215.Find the 1st term and the common ratio
Click here to see answer by KMST(5328)

Question 760183: What is half of 5 1/8 in in inchs
Click here to see answer by Cromlix(4381)

Question 760560: Subtract the polynomials.
(8n^3-n^7-12)-(7n^3-n^7-8)
Can some one break this down for me step by step so I can see how it is done. Thank you for your time.
Click here to see answer by tommyt3rd(5050)

Question 760532: find three consecutive terms in AP such that their sum is 36 and the third term exceeds the first and the secnd term by two

Click here to see answer by malglu(63)

Question 760277: Find an A.p whose 6th term is 17 and the sum of the first 13th term is 0
Click here to see answer by malglu(63)

Question 760820: the sum of the first three terms of a geometric sequence is 21. the third term exceeds the second term by 6. find the common ratio if it is positive
Click here to see answer by MathTherapy(10552)

Question 761054: arith metic progression... please sir solve this question 9years and 4months =28/3 how?
Click here to see answer by josgarithmetic(39618)

Question 761137: what is the next number 12,15,18

Click here to see answer by MathLover1(20850)

Question 760501: not sure why i cant find a method to do this question. the answers are:-
first term =2 and r= 3/4
the question
a geometric series has s subscript 3 = 37/8 and s subscripts 6 = 3367/512. find the fisrt term and the common ratio.

Click here to see answer by malglu(63)

Question 761173: the sum of a number and 57 is 167. How do I wire this as an equation?
Click here to see answer by Cromlix(4381)

Question 761260: I need help!! I don't understand what to do!
Find k of the term that contains (a^(402)) of ((3b^3)-(2a^2))^303
I need to find the k value for this equation any help will be much appreciated!
Click here to see answer by solver91311(24713)

Question 761388: If (2^a)(2^b)=128 What is a+b equal to?
Click here to see answer by ramkikk66(644)

Question 761580: whats the number sequence of the following:
1. 1024, 512, 256, 128, 64
2. 90, 10, 80, 20, 70, 30
Click here to see answer by Alan3354(69443)

Question 761656: What number comes next 1 2 8 48 384
Click here to see answer by stanbon(75887)

Question 761656: What number comes next 1 2 8 48 384
Click here to see answer by rothauserc(4718)

Question 755909: What is the estimate quotient of 905 and 38 ?
Click here to see answer by tommyt3rd(5050)

Question 755909: What is the estimate quotient of 905 and 38 ?
Click here to see answer by lenny460(1073)

Question 759214: ax3+bx2+cx+d=0,where a=0,
Click here to see answer by tommyt3rd(5050)

Question 760755:
Click here to see answer by tommyt3rd(5050)

Question 760755:
Click here to see answer by lenny460(1073)

Question 761887: the odd numbers 1 to 45 which are exactly divisible by 3 are arranged in an ascending order. the number at 6th position is [a]18 [b]24 [c]33 [d]36 ?

Click here to see answer by ramkikk66(644)

Question 761932: Dear Tutor
Could you please help me with this question and can you please show me the solution.If the first 3 items of a geometric progression are a − 1, a + 3, and 3a + 1 for some positive number a, what is the numerical value of the fourth term?

Click here to see answer by mohits610@gmail.com(6)

Question 762125: Find the sum to infinity of the Geometric progression with first term 3 and common ratio 1/2
Click here to see answer by ramkikk66(644)

Question 762272: 1) Find the first five terms of the sequences with the nth term given as follows:
a) 5n + 5 ____, ____, ____, ____ , ____
b) n2 + 2n + 1 ____, ____, ____, ____ , ____
c) 2n ____, ____, ____, ____ , ____

Click here to see answer by solver91311(24713)

Question 762427: 12 8 14 18 _____
whts d nxt numbr...????
Click here to see answer by solver91311(24713)

Question 762542: determine the number of terms in finite arthmetic sequence.
-6,-3,0,...,222
Click here to see answer by josgarithmetic(39618)

Question 762546: For each of the following find all integer values of x, if they exist, that make the equations true.
a) �x � 3 = -8

Click here to see answer by solver91311(24713)

Question 762695: in the sequence (1),(2,3),(4,5,6)................. the sum of the elements of the 50 th element with solution
Click here to see answer by ramkikk66(644)

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