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 681602: "Arithmetic Mean(A.M)" of a series of 15 values is 20. By adding two more values, it becomes 18. Find out the values added, if the ratio between them is 1 to 2.

Click here to see answer by Edwin McCravy(20056)

Question 681641: The sum of two numbers is 43 . The smaller number is 23 less than the larger number. What are the numbers?

Thanks(:
Click here to see answer by ReadingBoosters(3246)

Question 682054: What are the next three terms to this sequence 1, 0.1, 0.01
Click here to see answer by ReadingBoosters(3246)

Question 683555: A ball takes 1 second to hit the ground when dropped.It then takes 90%of this time to rebound to its new height and this continues until the ball comes to rest.What is the geometric sequence?
Click here to see answer by mananth(16946)

Question 683557: 20, 24, 33, 49, 74, 110, ? What will be the next number?
Click here to see answer by tsewaitung(11)

Question 683591: 21^2+22^2+23^2+24^2+25^2+26^2+27^2+28^2+29^2+30^2
Click here to see answer by MathLover1(20850)

Question 683714: Two angle in a triangle equal 120°. What is the measure of the third angle?
Click here to see answer by ReadingBoosters(3246)

Question 683948: how can i find rule for sequances 100,99,95,86
Click here to see answer by Edwin McCravy(20056)

Question 683947: the first two terms of a sequence are 4 and 5, and each subsequent term is the sum of the two preceding terms. how many of the first 1000 terms are odd?

Click here to see answer by Edwin McCravy(20056)

Question 684177: if 5th term of an AP is equal to 19 times the 19th term show that the 24th term of an AP is zero
Click here to see answer by mananth(16946)

Question 685061: There are 66 days food available in camp
of 5700 soldiers.If 20 soldiers are killed in
each day,the food will be sufficient
for how many days.
Click here to see answer by ankor@dixie-net.com(22740)

Question 685753: simply
3 sqrt(8x^3)+ 2 sqrt(50x^3) - sqrt(2x^2)
Click here to see answer by MathLover1(20850)

Question 685887: Find a number whose product with 9 is the same as its sum with 56.
Click here to see answer by stanbon(75887)

Question 686986: Is the answer to this problem 1 or 0? r(4+56)=60
Click here to see answer by stanbon(75887)

Question 687674: Solve the equation 6^x-2= 200 algebraically and check with the graph of
y = 6^x-2- 200 . (Give both an exact answer and an
approximation to the nearest 0.0001.)

Click here to see answer by Alan3354(69443)

Question 688410: Two students are driving back to college after spring break. They plan to drive 120 miles on the first day. They would like to add the same amount to their driving distance each day and would like to complete the 1200-mile trip in 5 days. How many miles should they drive on each day?
Click here to see answer by teentutor(5)

Question 689184: 2,5,8,11,14,17,20,23 what algebric expresdion represents the following se quence

Click here to see answer by jim_thompson5910(35256)

Question 690803: What do these numbers have in common 135; 468; 24; 2468; 79 ?
Click here to see answer by Alan3354(69443)

Question 690870: How do I solve: Through: (0,-5), perpendicular to y=3/8x-3?
Click here to see answer by Alan3354(69443)

Question 690880: Find the sum of the first 196 terms of 2,7,12,17,.. I cant seem to figure this problem out
Click here to see answer by josmiceli(19441)

Question 690880: Find the sum of the first 196 terms of 2,7,12,17,.. I cant seem to figure this problem out
Click here to see answer by MathTherapy(10552)

Question 691422: Direction: In each of the following number series questions one number is wrong. You have to identify that number
35 58 87 119 155 196

Click here to see answer by Edwin McCravy(20056)

Question 691617: what is the sum of the first 334 natural numbers?
Click here to see answer by josmiceli(19441)

Question 691886: The answer to the question is 15 terms. But, I can't find the answer without knowing what to find, first. I tried the formulas and to no avail. Here is the question, "How many terms are in the sum of an arithmetic sequence if the first term is 21, the common difference is 9 and the sum is 1,260?"
I know that (a one) is 21, d=9 and n=1260
I first tried to see if 1,260 could be a term and calculated it with the An = A1 + (n-d)d and that didn't work. Then, I tried to plug in the numbers with the Sn=n(A1+An)/2, that further confused me. I have no idea what to do when provided the total first and how to work from that in order to find the terms. There are no examples in both my math books and I'm stuck. Help.
Click here to see answer by stanbon(75887)

Question 691008: three numbers whose sum is 24 are in A.P. if the first is decreased by 1 , the second is decreased by 2 and third is not changed, then the resulting numbers are in G.P. find them
Click here to see answer by KMST(5328)

Question 692218: WHAT WILL BE THE NUMBER IN PLACE OF (?).
2 16 112 672 3360 13440 (?).
Click here to see answer by rfer(16322)

Question 692570: An arithmetic series has a third term of 0. The sum of the first 15 terms is � 300. What is the first term?
Click here to see answer by mouk(232)

Question 692570: An arithmetic series has a third term of 0. The sum of the first 15 terms is � 300. What is the first term?
Click here to see answer by MathTherapy(10552)

Question 690876: Find the sum of the first 196 terms of 2,7,12,17,...
Click here to see answer by mouk(232)

Question 693175: Which numbers supplement this sequence? 20.02 18.04 16.06
Click here to see answer by stanbon(75887)

Question 690934: the total of the three consecutive numbers is 170. What are the numbers?
Click here to see answer by mouk(232)

Question 693435: What is the sum of the arithmetic series below?
2 + 5 + 8 + ... + 56
Click here to see answer by stanbon(75887)

Question 694140: 1,9,3,13,5,?,7,21
what will be the value of ?
Click here to see answer by mananth(16946)

Question 694272: How to find the general term of 0, 7/2, 13, 63/2, 62, 215/2, 171, ...
Click here to see answer by vleith(2983)

Question 694418: Hi i was wondering if you can help me solve a problem i am having trouble with.
Use the Binomial Theorem to find the term that contains b^22 in the expression (2b^3 + b^2)^10.
Im confused with which term I am looking for.
(10)(2b^3)^10-22 * (b^2)^22
(22)
Click here to see answer by Waleak(2)

Question 694425: which two of these numbers have a quotient of 6? 3, 4, 5, 24, 48, 93, 98, 112
Click here to see answer by stanbon(75887)

Question 694425: which two of these numbers have a quotient of 6? 3, 4, 5, 24, 48, 93, 98, 112
Click here to see answer by Ave(106)

Question 694434: Hello I had a question regarding arithmetic sequences.
Here we have 1+3+5+...+915.
How would I find the sum using a formula?
Thank You all for your time to help and teach.
Click here to see answer by MathTherapy(10552)

Question 694516: what is the nth term of 1/2, 2/3, 3/4, 4/5
can you please tell me how to find it? not only the answer
Click here to see answer by josmiceli(19441)

Question 694821: find the sum of the first 16 terms of the arithmetic progression, if the first term is -5 and the common difference is -6
find the first term and common difference for the sequence with the given nth term.
an=7.4+0.6n
find the sum: 12+15+18+ . . . +111
a)1887 b)4182 c)369 d)2091

Click here to see answer by stanbon(75887)

Question 694948: What are the next three terms in each sequence?
9,109,209,309,409
1/2, 1/2,3/8, 1/4, 5/32
Click here to see answer by Edwin McCravy(20056)

Question 694948: What are the next three terms in each sequence?
9,109,209,309,409
1/2, 1/2,3/8, 1/4, 5/32
Click here to see answer by MathLover1(20850)

Question 695269: what is the rule for this arithmetic sequence 56,42,28,14 using additon or multiplication?
Click here to see answer by solver91311(24713)

Question 695269: what is the rule for this arithmetic sequence 56,42,28,14 using additon or multiplication?
Click here to see answer by reviewermath(1029)

Question 695673: A total of $9,100 in prizes is awarded to the top 8 entries in a science project contest. The highest prize is $2,000. The differences between
successive prizes are equal. What is the amount, in dollars, of the lowest prize?
A. $200
B. $275
C. $425
D. $650

Click here to see answer by reviewermath(1029)

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