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 966380: if the total number of sequence is 17 and the second number in the sequence is 3, what is the first number in the sequence?
Click here to see answer by Fombitz(32388)

Question 965943: If the sum of the first 2n terms of 2, 5, 8, .... is equal to the sum of the first n terms of 57, 59, 61...., then n is equal to-

Click here to see answer by Edwin McCravy(20056)

Question 966363: Q.1, IF A AND B ARE SQUARE AND ARE COMMUTATIVE THEN AB IS EQUAL BA ? TRUE OR FALSE?
Q.2,IN HOW MANY WAYS LETTER LEARN CAN BE ARRANGED , IF VOWELS OCCUPY ODD PLACES? 12 OR 18 OR 26 OR NONE OF ABOVE ?
Q.3 ,GIVEN A STRAIT LINE Y=3X+2, FIND THE AREA UNDER THE LINE BETWEEN X=2 TO X=5? 75 OR 35 OR 75/2 or 35/2 ?
Appreciate if you could answer on above question. Thanks well in advance.
Regards- Raheeq
Click here to see answer by Edwin McCravy(20056)

Question 965502: The 1st,2nd and 3rd term of an arithmetic progression are 8-x,3x and 4x+1..find x

Click here to see answer by Edwin McCravy(20056)

Question 965510: what is the first number of a arithmetic sequence if the next two numbers are 3 and 17
Click here to see answer by Edwin McCravy(20056)

Question 965511: what is the first number of a geometric sequence if the next two numbers are 3 and 17
Click here to see answer by Edwin McCravy(20056)

Question 966760: write an equation for the Nth term of the arithmetic sequence 17,31,45,59... simplify your answer completely.
Click here to see answer by josgarithmetic(39618)

Question 966891: Find the fifth term in the expansion of (x+2)^9
Click here to see answer by amarjeeth123(569)

Question 966911: Find the 120th term of progression : 56, 53, 50, 47

Click here to see answer by ikleyn(52788)

Question 419106: 2,8,18,32,50 find the formula for the nth term
Click here to see answer by acubed1234(5)

Question 966916: If the number of a sequence is 17 and the last number is 3. What is the first number in the sequence?
Click here to see answer by Fombitz(32388)

Question 966919: The number of the sequence is 17. If the second number is 3, what is the first number?
Click here to see answer by Fombitz(32388)

Question 966984: determine the formula that generates each of the following sequences....
a) 0, -5, -10, -15, -20...
b) -18, -16, -14, -12, -10...
Click here to see answer by Fombitz(32388)

Question 967181: This is a problem from a past exam, used for studying, but I'm not able to answer it - which doesn't bode well for the upcoming exam :-(
.
Give a closed form expression of the summation
SIGMA n[on top]
i=1[on bottom] i
Click here to see answer by jim_thompson5910(35256)

Question 967248: On the legend of a map, 3 inches represent 20 miles. How many inches are needed to represent 260 miles
Click here to see answer by ikleyn(52788)

Question 967307: Help!! I'm so confused. Can someone pretty please help with these?
For the following sequence calculate the indicated term:
a1=1,an+1=2an+1,a4 (the first 1, the n+1 and 4 are subscript)
Click here to see answer by stanbon(75887)

Question 967293: solve the equation for the variable c.

a=1/2bc^3
Click here to see answer by Alan3354(69443)

Question 967305: I'm so confused. Can someone pretty please help with this?
For the following sequence calculate the indicated term:
an=(-1)^n(3n+2),a5 (first n and the 5 are subscript)
Click here to see answer by MathLover1(20850)

Question 967390: what are the first four terms of the geometric sequence t1=-2, tn=1/2tn-1
Click here to see answer by t0hierry(194)

Question 967387: f(x)=5x^2+10x+6
how do i solve to find the vertex?
Click here to see answer by t0hierry(194)

Question 967404: Please help me solve this:
Find a rule for a general term for the sequence -1, 1/2, -1/3, 1/4, -1/5,...
Click here to see answer by jim_thompson5910(35256)

Question 967450: Given the mathematical sequence -5,-3,-1..calculate its 41st term.
Click here to see answer by amarjeeth123(569)

Question 967501: If this is a geometric sequence X , 3 ,17 what is the value of X
Click here to see answer by Edwin McCravy(20056)

Question 967498: divergent sequence X , 3 ,17 what is the value of X
Click here to see answer by Edwin McCravy(20056)

Question 967249: I'm so confused. Can someone pretty please help with these?
For the following sequences calculate the indicated term:
a) an=(-1)^n(3n+2),a5 (first n and the 5 are subscript)
b) an=lne^n,a13 (first n and 13 are subscript)
c) a1=1,an+1=2an+1,a4 (the first 1, the n+1 and 4 are subscript)
I really appreciate help on this one!!
Click here to see answer by Edwin McCravy(20056)

Question 967674: The number of sequence are 17,2....what is the next no.?
Click here to see answer by Alan3354(69443)

Question 965723: In a potato race, 10 potatoes are placed in a straight line 5 meters apart, the first potato being placed 6 meters from the starting point. How many meters does a contestant travel in collecting the potatoes one at a time and placing them in a basket located at the starting point ?
Click here to see answer by Edwin McCravy(20056)

Question 967771: The sum of first 20 terms of the series 1,4,9,16.......
Click here to see answer by satyareddy22(84)

Question 967747: Suppose you have the following sequence of runtime for an operation: 3, 6, 11, 18, 27, 38,...
� List the next 2 elements in the sequence.
� Determine the general equation that yields results for any element of the sequence.
� What is the runtime for matrix multiplication operations in terms of big-O notation?
I am really lost on how to do this. Please send help. SOS. Thank You

Click here to see answer by rothauserc(4718)

Question 967979: If a person puts 1 cent in a piggy bank on the first day, 2 cents on the second day, 3 cents on the third day and so on, how much money will be in the bank after 40 days?
How should I set this up?
Click here to see answer by macston(5194)

Question 968004: Oh my goodness, I'm really struggling with this one. Can anyone help me?
Consider the following sequence:
3, 12, 48, 192...
a. Write a recursive formula for the nth term of the sequence
b. Write a general formula for the nth term of the sequence c. Calculate S10 for this sequence
Click here to see answer by stanbon(75887)

Question 967999: Hello,
Does anyone know how I would do this? I'd appreciate your help.
For the following equation of an ellipse determine the center, vertices, and foci:
9x2+4y2+54x−8y+49=0

Click here to see answer by lwsshak3(11628)

Question 967997: Good evening! Can someone walk me through this, please?
For the following equation of a parabola determine the vertex, focus, and directrix:
y2+2x−8y+7=1
Click here to see answer by lwsshak3(11628)

Question 967975: Find the general term of the arithmetic sequence:
1/2, 5/6, 7/6, 3/2, 11/6....
A little unsure how to work this one out. A little help please?
Click here to see answer by Murthy(22)

Question 968052: Write out the first four terms of the following sequences.
b1 = 8, bk + 1 = 2bk + 1, k ≥ 1
Click here to see answer by Edwin McCravy(20056)

Question 968002: Hello again,
Can someone please help me with this problem?
For the following system of non-linear equations sketch the graph, label the points of intersection of the two systems, and solve using substitution:
a) x^2 − y = 0
b) x + y = 2
Click here to see answer by Edwin McCravy(20056)

Question 968082: if the number in the sequence is 17 and the second number is 3, what is the first number.
Click here to see answer by 6(1)

Question 968110: how many ways there are to remove three elements from the sequence 1 4 2 5 7 3 8 9, so that the remaining from an increasing sequence

Click here to see answer by KMST(5328)

Question 968171: Find the sum of the series:
4
∑ k(k+8)
k=2
Click here to see answer by Fombitz(32388)

Question 968165: How many ways can 4 people be lined up?
Click here to see answer by Alan3354(69443)

Question 968163: Determine if the infinite geometric series converges or diverges. If the series converges, find its sum:
4- 4/3 + 4/9 - 4/27 +...
Click here to see answer by Fombitz(32388)

Question 968161: Determine the general term of the sequence 5, 20, 80, 320.....
Click here to see answer by Fombitz(32388)

Question 968153: Write the first four terms of the sequence:
a_n =4n+5 / 4n
Click here to see answer by Fombitz(32388)

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