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 594254: Please help"!!: Mrs.williams car gets an average of 26 miles per gallon of gas. she plans to drive 243 miles today and 225 miles tomorrow. how many gallons of gas should she expect to use in all?
Click here to see answer by rfer(16322)

Question 594600: suppose the length of a side of a cube is x^10 find the volume of a cube in terms of x
Click here to see answer by Alan3354(69443)

Question 594575: Milo was asked to find two numbers with the produt of 105 and the sum of 26.She gave the number 15and 7. why was her answer incorrect?
Click here to see answer by bucky(2189)

Question 595273: what is the formula for the nth term for this pattern: -1,2,-4,8,-16...
Click here to see answer by Alan3354(69443)

Question 595549: Which fraction is equal to 0.20%?
Click here to see answer by rfer(16322)

Question 595554: Shania is moving to a new apartment and wants to move her things in her own car. She has 20 boxes weighing at least 20 pounds each. Her car's trunk and backseat have space totaling 70 cubic feet. How many boxes can Shania move in one trip?
Click here to see answer by rfer(16322)

Question 595553: Between 4:00 A.M. and 10:00 A.M. Saturday morning, the temperature rose from -15 degrees Fahrenheit to 9 degrees Fahrenheit. On average, by how many degrees per hour did the temperature rise during this period?
Click here to see answer by rfer(16322)

Question 595995: If a stack of 20 is 1/8 inch, how much would a stack of 750 be?
Click here to see answer by nerdybill(7384)

Question 596165: Find the missing term:
729, -243, 81, -27, ________
Click here to see answer by jim_thompson5910(35256)

Question 596795: finish the sequence 0,1,5,14,30, _ ,_,_
Click here to see answer by solver91311(24713)

Question 597001: what is r for geometric sequence 64,96,144,216
Click here to see answer by stanbon(75887)

Question 597021: Hi. Can someone please teach me how to solve this question? It's quite easy but I want to know how. It would mean a lot. Thanks!
How many integers between 197 and 303 are divisible by 4 or 10?
Click here to see answer by KMST(5328)

Question 597343: 1,-1,1,-1,1
find the expression for the sequence to find the nth term??
Click here to see answer by Alan3354(69443)

Question 597343: 1,-1,1,-1,1
find the expression for the sequence to find the nth term??
Click here to see answer by solver91311(24713)

Question 597375: 4
E i^2
i=0

find the sum
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Question 597854: 92 is 4 percent of what?
Click here to see answer by rfer(16322)

Question 597867: 6 is 4% of what number?
Click here to see answer by solver91311(24713)

Question 597871: -2(w+5)-(2-8w)=5w
Click here to see answer by rfer(16322)

Question 598247: Find the next six terms of the sequence an=n^3-8
Click here to see answer by solver91311(24713)

Question 598759: 3. The sequence 52,51,48,43,34,27,18 is wrong. Could you tell because of which number it is going wrong?
a 34 b 27 c 48 d 18

Click here to see answer by ojasvisunita(5)

Question 598796: In the geometric sequence find r and the 10th term.
a) 4, 12, 36,108...
b) 972, -324, 108, -36...
Not really sure what to do here. Thank you.
Click here to see answer by KMST(5328)

Question 599111: There were 126 people that ordered food. 87 ordered cold food and 92 ordered hot food. How many ordered both cold and hot?
Click here to see answer by flame8855(424)

Question 599525: A playground is being designed where children can interact with their friends in certain combinations.
If there is 1 child, there can be 0 interactions.
If there are 2 children, there can be 6 interactions.
If there are 3 children, there can be 15 interactions.
If there are 4 children, there can be 27 interactions.
How many interactions will there be for 7 children?

Click here to see answer by stanbon(75887)

Question 599642: Find the number of terms. Use the sum formula.
1+2+4+...+2048
2048=1*2^n-1
2048=2^n-1
I don't know where to go from here.
Click here to see answer by Alan3354(69443)

Question 599716: The sum of three consecutive odd integers is 345. Find the largest of these three numbers.
Click here to see answer by ankor@dixie-net.com(22740)

Question 600139: Karen tees up on the 9th hole at a golf course for a 200 yard hole. She makes an initial drive (first shot) directly toward the hole. Her second shot travels 50 yards. Karen's third shot travels 25 yards, her fourth 12.5 yards, and so on in this pattern. Assume that the first shot fits the pattern and that the ball continues directly toward the hole on each shot.

Find the first shot less than 10 yards from the hole and the first shot less than 5 yards from the hole? Find the distance covered by the ball. Will the ball travel 200 yards? Explain why or why not. Use two different methods to justify your reasoning.
Click here to see answer by htmentor(1343)

Question 600359: What is the missing numbers in the sequence 9 ? 29 39 ? 59
Click here to see answer by jim_thompson5910(35256)

Question 600375: what are the missing numbers 3/4 ? 27/64 81/256 ? 729/4096
Click here to see answer by dhartman0220(8)

Question 600581: Sum of Arithmetic sequence 1,-1,-3...-13

Find missing term in arithmetic sequence -17, a2, a3, 1

Find missing term in arithmetic sequence 1, a2, a3, a4, -35
Click here to see answer by Nihal@SriLanka(22)

Question 600645: Which number is prime?

A.
91

B.
53

C.
27

D.
14
Click here to see answer by jim_thompson5910(35256)

Question 600666: Please help me find the next term in the sequence: 1, -3, 9, -27...
Click here to see answer by jim_thompson5910(35256)

Question 601530: For the sequence a(subscript n)=(n+1)
its first term is=
its second term is=
its third term is=
its fourth term is=
its 100th term is=
Click here to see answer by flame8855(424)

Question 601673: Sigma notation/Integers
Find the value of 82
E (6+4i) (the "E" is meant to represent sigma and the 82 is supposed to be above it)
i=17
I have got the sequence worked out i.e. 6+4x17= 74
6+4x18= 78 etc.
However not sure where to go or whether I am going in the right direction!
Click here to see answer by Edwin McCravy(20056)

Question 601949: find the thirteenth term of the following sequence -6, -4, -2, 0....
Click here to see answer by flame8855(424)

Question 602056: 2,5,10,17
Click here to see answer by Alan3354(69443)

Question 601527: Insert 3 arithmetic means between -19 and 59.
Use a formula and show your work.
-19, _____, _____, _____, 59

Click here to see answer by richard1234(7193)

Question 602242: Could a tutor please help? Given f(x)= e^(2x), find the first three nonzero terms of the maclaurin series for the function. Thank you much!
Click here to see answer by richard1234(7193)

Question 602616: One sequence is 7,11,15,19,23... Second sequence is 1,10,19,28,37 - the number 19 is in both sequences. If both sequences continue, what is the next number that is in both sequences?
Click here to see answer by solver91311(24713)

Question 602994: complete the series 10, 18, 40, 78, 112,?
Click here to see answer by AnlytcPhil(1806)

Question 603123: What is the sum of an arithmetic series with Sigma (n on top, k=50 on the bottom, and the equation is just k.) This should be easy but I'm just having a major brain fart today...
Click here to see answer by KMST(5328)

Question 603294: I'm supposed to find the specific term of each arithmetic sequence. The problem is : t1=5, t3=20; and I need to find t subscript 12. I can use the equation tn=t1+(n-1)d if that helps you any? Thanks for the help.
Click here to see answer by htmentor(1343)

Question 603355: write a recursive definition for the sequence 4,10,16,22,.....
Click here to see answer by lynnlo(4176)

Question 603569: What is the sum of 2+4+6+8+10+12 using the formula for the partial sum of arithmetic series?
Click here to see answer by jim_thompson5910(35256)

Question 603677: The first number is 1 and the 58th number is 3. what are the numbers in between 1 & 3 (from 2nd to 57th)? thank you very much for the answer..
Click here to see answer by Edwin McCravy(20056)

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