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 727805: How many terms of the progression 3, 6, 9, 12,....
must be taken at the least to have a sum not less than 2000?
Click here to see answer by josgarithmetic(39617)

Question 727850: The 6 term in geometric progression is 96 and the 9 term is 768.
Find the sum of the first 8 terms to 11 terms

Click here to see answer by josgarithmetic(39617)

Question 728445: what do you multiply with 6 to get 27

Click here to see answer by MathLover1(20850)

Question 729478:

what is 128 divided into 1/3 1/4 5/8 what is the fractions in numbers
Click here to see answer by checkley79(3341)

Question 729524: Abdul must choose a number between 49 and 95 that is a multiple of 3 , 6 , and 9 . Write all the numbers that he could choose. If there is more than one number, separate them with commas.

Click here to see answer by Alan3354(69443)

Question 729526: Hi how would you write the equation for the following question?
A 7kW, 240V generator is installed in a photovoltaic system designed with two days of battery storage at 50% depth of discharge(the load uses 50% of the battery storage over 2 days) and the system is sized for a charging rate of C/10.(C/10 = 100% charged over 10 hours C/20 would be 100% charged over 20 hours, etc) Approximately how much fuel will be required per day when the generator is the only power source? The generator burns about 1.6 gallons per hour.
I know the answer is 4 gal per hr.
I would like to see how to write the equation then solve it.
Thank You for your help
Bob
Click here to see answer by lynnlo(4176)

Question 729613: the garrison of 80 men had provision for 10 days . after 2 days some persons join the garrison and the provision lasted for 4 days how many persons join the garrison
?

Click here to see answer by mbmodak(32)

Question 729497: 1.) 17-(5j+3)=-21

2.) 23-(14-2p)+7p=-36

3.) -12=5(2m-1)-(7-2m)
Click here to see answer by lynnlo(4176)

Question 729764: what is the pattern of the numbers 3,5,7,4,6,8
Click here to see answer by fcabanski(1391)

Question 730121: write a rule for the nth term of the arithmetic sequence. -12,-5,2,9,...

Click here to see answer by josgarithmetic(39617)

Question 730193: The fifth term of a geometric sequence is 15 and the eighth term is -15/8. Find the first term, common ratio and the third term.
Click here to see answer by mananth(16946)

Question 730276: can you fill in the missing spaces to complete the pattern

n+6 ___ 7n+6
___ 4n+3 7n+3
n 4n ___
Click here to see answer by lynnlo(4176)

Question 730275: A ball is dropped vertically from a height of 80 meters. After each bounce, the ball reaches a maximum height equal to 60 percent of maximum height of the previous bounce
a. Write the first three terms of the sequence. Explain how you know what they are.
b. Find the height to the nearest tenth of a meter of the ball after the eighth bounce.
(Can you show the steps for future reference please, thank you.)
Click here to see answer by lynnlo(4176)

Question 730703: How would I find the sum of the infinite geometric series, if it exists with a1 = 18 and r = .6?
Click here to see answer by stanbon(75887)

Question 730737: In a sequence of positive integers, each term is larger than the previous term. Also, after the
first two terms, each term is the sum of the previous two terms.
The eighth term of the sequence is 390. What is the ninth term?

Click here to see answer by fcabanski(1391)

Question 731230: The median annual salary of 121 members of a department is $42,650. How many of the numbers have a salary that is higher than this salary?
Click here to see answer by rfer(16322)

Question 731195: What number comes next in the sequence 5,6,11,11,8,17

Click here to see answer by fcabanski(1391)

Question 731428: what is the missing number 4,9,[14],19,24
Click here to see answer by checkley79(3341)

Question 731557: What is the number which when multiplied by 2 and added to 8 gives the same result as when it is divided by 2 and has 32 added to it ?

Click here to see answer by fcabanski(1391)

Question 731432: What five different whole numbers add up to 18 multiply those same numbers and get 240?
Click here to see answer by KMST(5328)

Question 731852: pls help me solve 2x=2^x in exponential indices 2x=2^x and i am stuck
Click here to see answer by kijj95(5)

Question 732085:
Which sequence of numbers does 2n+3 describe ?
Click here to see answer by checkley79(3341)

Question 732085:
Which sequence of numbers does 2n+3 describe ?
Click here to see answer by Alan3354(69443)

Question 732150: a particle sliding down an inclined plane travels 2 feet the first second. In any second after the first it slides 4 feet farther than it did in the preceding second. how far will it slide in 7th second? how far will it slide in 7 seconds? how long will it take to slide 128 feet?
Click here to see answer by mananth(16946)

Question 732158: The tickets in a raffle are numbered 1, 2, 3, and so on. The price of a ticket is the number of cents equal to the number of the ticket. If the raffled article cost $100, what is the least number of tickets that must be sold so that those conducting the raffle will not lose money?
Click here to see answer by mananth(16946)

Question 732177: After touchdown, a landing aircraft travels 200 feet the first second, 160 feet the next second, 121 feet the third second, and so on. How many feet will the plane travel in 10 seconds?
Click here to see answer by lynnlo(4176)

Question 732128: a number and clubs has the same number 65 give me the answer also quick no I am Chance waiting for verbal statement in 2 Aquarius use an as the unknown number and create an equation from the problem
Click here to see answer by lynnlo(4176)

Question 732695: How many 108ths are equal to 9 36ths?
Click here to see answer by Alan3354(69443)

Question 732668: if the first, fifth and tenth terms of an arithmetic sequence are in geometric progression and the sun of the second and eight terms is 20, find the first term and the non zero common difference
Click here to see answer by KMST(5328)

Question 732805: The first term of a geometric series are 1,x,y, and the first three terms of an arithmetic series are 1,x,-y. prove that x^2 + 2x -1 = 0. and hence find y, given that x is positive
Click here to see answer by josgarithmetic(39617)

Question 732802: An arithmetic series has first term 1000 and common difference -1.4. calculate the value of the first negative term of the series, and the sum of all the positive terms
Click here to see answer by mananth(16946)

Question 732799: The sum of the first 100 terms of an arithmetic progression is 10000; the first, second and fifth terms of this progression are three consecutive terms of a geometric progression. Find the first term, a, and the non-zero common difference, d. of the arithmetic progression
Click here to see answer by mananth(16946)

Question 732897: Find the sum of n terms of the geometric series 1 + 5/4 + (5/4)^2 + �. Find the least number of terms of this series which must be taken so that the sum of these terms exceeds 20
Click here to see answer by lynnlo(4176)

Question 732891: The first tem of a geometric progression is 7, its last term is 448 and its sum is 889. Find the common ratio
Click here to see answer by KMST(5328)

Question 733216: why does the sum of an infinite geometric sequence not exist if the constant ratio is greater than or equal to one?
Click here to see answer by sachi(548)

Question 733279: what is r/7-3=-28
Click here to see answer by lynnlo(4176)

Question 733276: 10 = 1/5 a + 2 solve the equation for a?
Click here to see answer by lynnlo(4176)

Question 733498: The weather forecast stated that the chance of rain for Wednesday is 40%. Does this forecast mean that if is more likely to rain or not to rain? Why?
What is the probability of drawing a heart from a normal deck of 52 cards?
Click here to see answer by lynnlo(4176)

Question 733638: The product of 3 numbers in G.P. is 64. If second and third numbers be each incresed by 2, the numbers are in A.P. Find the numbers.
Click here to see answer by josgarithmetic(39617)

Question 733901: How do I figure the expression for this sequence: 8, 10, 12, 14...
Click here to see answer by jim_thompson5910(35256)

Question 734289: If 111 equals 13 and 112 equals 24 and 113 equals 35 and 114 equals 46 and 115 equals 57, then what does 117 equal?
Click here to see answer by lynnlo(4176)

Question 734371: If the 8th term of an arithmetic progression is double the 13th term.Prove that 2nd term is double the 10th term.
Click here to see answer by lynnlo(4176)

Question 734533: 7^(1/4) x 49^(-5/8)

Click here to see answer by Vladdroid(91)

Question 734773: determine whether the sequence is arithmetic if it is find the common difference 3,5/2,2,3/2,1,1/2

Click here to see answer by stanbon(75887)

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