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 982268: Find the possible values of the common ration if the:
(a) First term is 11 and the sum of the first 12 terms is 2922920
(b) first term is 1 and the sum of the first 6 terms is 1.24994
Click here to see answer by AnlytcPhil(1806)

Question 982546: if s(t)=-16t^2 + 100t + 400 represents the position of a moving object, find the initial velocity
Click here to see answer by Fombitz(32388)

Question 982544: A point moves so that its displacement s is given by s=16+48t-t^3, when and where will it stop and reverse its direction of motion?
Click here to see answer by Alan3354(69443)

Question 982553: Given the Arithmetic sequence A1,A2,A3,A4
55, 64, 73, 82
What is the value of A39?

Click here to see answer by solver91311(24713)

Question 982553: Given the Arithmetic sequence A1,A2,A3,A4
55, 64, 73, 82
What is the value of A39?

Click here to see answer by josmiceli(19441)

Question 982089: Which expression gives the remainder when P(x) = 4x2 + 2x � 5 is
divided by x � 2?
Click here to see answer by Fombitz(32388)

Question 982545: A point moves in a straight line so that its distance s from the origin at time t is given by the equation s=5+4sin2t + 3cos 2t. prove that
its acceleration varies as its distance from a fixed point in the line of motion
its motion is oscillatory
the origin is at one extremity of its path
Click here to see answer by Alan3354(69443)

Question 982609: There are two tangent line to the curve y=4x-x^2 that pass through the point (2,5). find the equations of these two lines and make a sketch to verify your results
Click here to see answer by josgarithmetic(39617)

Question 982613: y=x^3+1 at (-1,0)
Click here to see answer by Fombitz(32388)

Question 982612: y=3x^2+1 at (1,4)

Click here to see answer by Alan3354(69443)

Question 982608: If the distance traveled varies as the square root of the time, prove that the acceleration varies as the cube of the velocity.
Click here to see answer by Fombitz(32388)

Question 982761: Complete The Series
1 2 6 30 68
Click here to see answer by Edwin McCravy(20056)

Question 982792: 1, 3, 15, 51, 131, ?
what the next in this and the logic please?
Click here to see answer by Edwin McCravy(20056)

Question 982843: What is the sum of 12+11?
Click here to see answer by Fombitz(32388)

Question 982823: using mathematicsl induction prove that 3^n+7^n-2 is divisible by 8
Click here to see answer by Edwin McCravy(20056)

Question 982844: An infinite geometric series has first term 70 and common ratio -0.23.
To 2 decimal places, what is the sum to infinity of this series?
Click here to see answer by Fombitz(32388)

Question 982883: The position of a projectile P shot directly upwards from the surface of the earth is a=117t-9.8t^2
What is the initial velocity of the projectile?
Find the average velocity over the interval from t=5 to t=10 seconds?
Find the instantaneous velocity at t=5 and t=10 secs?
Find the maximum height reach by the projectile?

Click here to see answer by stanbon(75887)

Question 982791: Find p so that p+7,3p+9,p+3,form an arithmetic sequence
Click here to see answer by josgarithmetic(39617)

Question 982910: An arithmetic sequence has 1st term 6 and common difference 624. A geometric sequence has 1st term 2 and common ratio 3. Determine an n so the nth term of the arithmetic sequence is the same as the nth term of the geometric sequence.
I set this up as:
a(n) = 6 + (n-1)*624
a(n) = 2*3^(n-1)
I set these equal to each other and basically guess and check. When I do this I get a value of 8.
However, I have seen this done a different way that looks like this:
a(n) = 6 + 624n
a(n) = 2*3^n
3 + 312n = 3^n
For this I get a value of 7.
Is the general equation to find a value of n only supposed to be n and not the n-1 that I was using?

Click here to see answer by solver91311(24713)

Question 982923: the sequence of a number is 17, if the second is 3,what is the first number?

Click here to see answer by Alan3354(69443)

Question 982916: The number of sequence is 17 the second is 3 what is the first number?
Click here to see answer by Alan3354(69443)

Question 982957: I need to solve this problem: What is the next number in this sequence:
1,2,8,48,384. I have tried to identify a pattern and have not been able to.
It is multiple choice here are the choices:a. 786 b.1536 c. 700, d. 580, e. 3,840
I don't know how to solve this. I tried to look at division/multiplication, subtaction/addition to identify a pattern. Thank you.
Click here to see answer by Cromlix(4381)

Question 983042: The number of the sequence is 17,if the second number is 3,what is the first number?

Click here to see answer by josgarithmetic(39617)

Question 983043: the sum of the first and the last terms of a linear sequence (A.P) is 42. if the sum of all the terms is 420 and the second the is 4 . find the the number of terms,the common difference and the last term of the sequence.
Click here to see answer by josgarithmetic(39617)

Question 983065: Find the sum : 2 4 6 .... 200.
Click here to see answer by Boreal(15235)

Question 983064: How many terms are there in the A.P. -7,-4,-1,2...., 101?
Click here to see answer by htmentor(1343)

Question 983064: How many terms are there in the A.P. -7,-4,-1,2...., 101?
Click here to see answer by Boreal(15235)

Question 983064: How many terms are there in the A.P. -7,-4,-1,2...., 101?
Click here to see answer by ikleyn(52787)

Question 983093: The interior angles of a polygon are in A.P. if the smallest angle is 120� and common difference is 5� then the number of sides in polygon is ?
Click here to see answer by jim_thompson5910(35256)

Question 983175: 3,15,8,24,15,35,?48,35

Click here to see answer by Cromlix(4381)

Question 983176: Hello,
our topic is all about arithmetic sequence. There's a given question that I found difficulty, so please help me to answer this question:
Find the value of x and y so that (x + y), (3x - 2), (x + 7y), and (3x + 4y) are terms of an arithmetic sequence.
Thank you.
Click here to see answer by rothauserc(4718)

Question 983146: What would be the next number of this sequence 91,57,26,43 ?
Click here to see answer by Edwin McCravy(20056)

Question 983173: Find the 9th term of the harmonic sequence
3/2,1/2,3/10,3/14,... n=9
Click here to see answer by Edwin McCravy(20056)

Question 982197: what is the general term of series 12 +43/3 +50/2 + 19 + ... ... ... 15 terms.
write the series in sigma notation .

Click here to see answer by Edwin McCravy(20056)

Question 983168: Find the nth term of
1,2/3,1/2,2/5,... n=10
Click here to see answer by Edwin McCravy(20056)

Question 982081: A new square is formed by joining the midpoints of the consecutive
sides of a square 8 inches on a side. If the process is continued until
there are six squares, find the sum of the areas of all squares
in square inches.thank you
Click here to see answer by Edwin McCravy(20056)

Question 983194: What should be the next number in the following series? 1 2 8 48 384 _ ?
What should be the next letter in the following series? A Z E B I Y O _?
Click here to see answer by Edwin McCravy(20056)

Question 983221: Kindly solve this one for me:
The sum of all the terms of an infinite geometric series is 4 while the sum of the cubes of all the term is 192. What are the terms?
Click here to see answer by ikleyn(52787)

Question 983155: Two lines through the point (1,3) are tangent to the curve y=x^2. find the equations of these two lines and make a sketch to verify your result
Click here to see answer by josgarithmetic(39617)

Question 983219: Kindly solve and answer this one for me:
the sum of an infinite geometric series is 4 while the sum of all the terms is 192. What are the terms?
thanks
Click here to see answer by ikleyn(52787)

Question 983290: if 17 is the sequence number, and 3 is the second number, what is the first number?

Click here to see answer by Alan3354(69443)

Question 983316: how many terms are in the sequence -83, -66, -49, -32,...597
I think this is an arithmetic sequence, I am just not sure how to calculate how many terms are in this
Click here to see answer by ikleyn(52787)

Question 983312: Hi
I think I have a easy one for you.
Thats what I tought when I first saw it.
My highschool son gave me this simple series to figure out. And I was wondering what the posibilities are for this one.
Plain and simple ,999,997,998,.....,.....,.....,1002,1003 is the sequence and now I'm puzzled.
Can you please assist with posibilities for this.
Gershwin Fortuin
Click here to see answer by solver91311(24713)

Question 983363: Two lines through the point (1,3) are tangent to the curve y=x^2. find the equations of these two lines and make a sketch to verify your result
Click here to see answer by josgarithmetic(39617)

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