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 1195996: Finish this sequence: 11 21 1112 3112 211213
Click here to see answer by ikleyn(52788)

Question 1195996: Finish this sequence: 11 21 1112 3112 211213
Click here to see answer by greenestamps(13200)

Question 1196046: What is formula of finite series 1/n² when n is some finite positive integer?
Using this formula find sum of series 1/n² when n takes value from 6 to 80?
Click here to see answer by ikleyn(52788)

Question 1196058: Find the general rule/formula of the sequence: 7, 5, 3, ...
Click here to see answer by math_tutor2020(3817)

Question 1196058: Find the general rule/formula of the sequence: 7, 5, 3, ...
Click here to see answer by ikleyn(52788)

Question 1196057: Find the general rule of the sequence: 32, -16, 8, -4, ...
Click here to see answer by math_tutor2020(3817)

Question 1196101: a³=10 d=12 Ba=
Click here to see answer by ikleyn(52788)

Question 1196100: a³ = 10 d = 12 Ba=
Click here to see answer by ikleyn(52788)

Question 1196135: After knee surgery, the trainer tells Sarah to return to her jogging program slowly. He
suggests jogging for 12 minutes each day for the first week. Each week thereafter, he
suggests that Sarah increases that time by 6 minutes per day. How many weeks will it
be before she is up to jogging 60 minutes per day?
Click here to see answer by ikleyn(52788)

Question 1196151: find the 100nth term for 80, 60, 140
Click here to see answer by ikleyn(52788)

Question 1196150: Please what is the formula for finding this sequence?
I need answer ASAP
1
3
7
8
21
49
76
224
467
514

Click here to see answer by ikleyn(52788)

Question 1196225: a gymnasium has 52 rows of seats. the last row contains 92 seats. if each row has 3 fewer seats tan the row behind it, how many seats are there in the first row?

Click here to see answer by Alan3354(69443)

Question 1196326: What are the next three terms for each pattern shown.
Pattern 1: one square
Pattern 2: three squares
Pattern 3: six squares
Click here to see answer by ikleyn(52788)

Question 1196326: What are the next three terms for each pattern shown.
Pattern 1: one square
Pattern 2: three squares
Pattern 3: six squares
Click here to see answer by greenestamps(13200)

Question 1196342: Find the sum of the 1st 20 terms of the arithmetic sequence
-2, -5, -8, -11

Click here to see answer by ikleyn(52788)

Question 1196342: Find the sum of the 1st 20 terms of the arithmetic sequence
-2, -5, -8, -11

Click here to see answer by greenestamps(13200)

Question 1196370: hello,
what is the term to term rule for this linear sequence and is it aarithmetic, geometric, or neither?
75, 66, 57, 48, 39...
be sure to give enough information to describe the sequence fully, thanks.
thank you

Click here to see answer by josgarithmetic(39618)

Question 1196372: What expression should be on the blank, fx + 3y, ____, 5v - x formed an arithmetic sequence? Show full solution.
Click here to see answer by ikleyn(52788)

Question 1196371: Which term of the arithmetic sequence -10,-6,-2,2,6.... i s 94?
Click here to see answer by ikleyn(52788)

Question 1196371: Which term of the arithmetic sequence -10,-6,-2,2,6.... i s 94?
Click here to see answer by greenestamps(13200)

Question 1196387: So i need to know basically what the following six numbers are according to the shown pattern.
Pattern 1: has 2 shaded squares and the other two aren’t
Pattern 2: has 4 shaded squares and the other 12 aren’t
Pattern 3: has 6 shaded squares and the other 30 aren’t
Click here to see answer by ikleyn(52788)

Question 1196388: Please help me determine the next number in this sequence
6,13,27,55…..
Also please tell me how you got that number
Click here to see answer by ikleyn(52788)

Question 1196438: On a highway a wreck occurred and caused a 12 mile traffic
jam on one side of the road. The average car is 13.5 feet in
length, the average truck is 20 feet in length, and the
average 18 wheeler tractor trailer is 75 feet in length. 65%
of the traffic jam consists of cars, 20% trucks, and 15% 18
wheeler tractor trailers. The average distance between
vehicles is 2.5 feet. How many cars are in the traffic jam ?
Click here to see answer by ikleyn(52788)

Question 1196564: Find the negative mean between, if possible, between -25 and 5. Show complete solution.
Click here to see answer by Alan3354(69443)

Question 1196563: Find the missing terms of the sequence -25/8, __, __, __, -32/25, show complete solution.
Click here to see answer by greenestamps(13200)

Question 1196576: Plese help me solve this geometric progression if 7,x,y,189 are in G.P Find x and y
Click here to see answer by greenestamps(13200)

Question 1196576: Plese help me solve this geometric progression if 7,x,y,189 are in G.P Find x and y
Click here to see answer by math_helper(2461)

Question 1196576: Plese help me solve this geometric progression if 7,x,y,189 are in G.P Find x and y
Click here to see answer by ewatrrr(24785)

Question 1196601: Resubmission of a question(In the previous question I made, I said only the length of the side of a square, rather than saying the length of the side of a square garden.)
The table below shows the length of a side of a square garden and the perimeter of the garden.
Length of side: 1| Perimeter: 4
Length of side: 2| Perimeter: 8
Length of side: 3| Perimeter: 12
Length of side: 4| Perimeter: 16
Length of side: 5| Perimeter: 20
Do the numbers in the perimeter row form an arithmetic sequence? If so, what is the common difference?
Click here to see answer by ewatrrr(24785)

Question 1196600: The data below shows the length of a side of a square and the perimeter of the garden.
Length of side: 1| Perimeter: 4
Length of side: 2| Perimeter: 8
Length of side: 3| Perimeter: 12
Length of side: 4| Perimeter: 16
Length of side: 5| Perimeter: 20
Do the numbers in the perimeter row form an arithmetic sequence? If so, what is the common difference?
Click here to see answer by ewatrrr(24785)

Question 1196632: Please help me solve this question. Insert 4 geometric mean between 1/8 and 128
Click here to see answer by math_helper(2461)

Question 1196635: The table below shows the length of a side of a square garden and the perimeter of the garden(I already posted this question, but I didn’t include the full question because I thought I could solve that piece myself(also, thank you evatrrr).
Length of side: 1| Perimeter: 4
Length of side: 2| Perimeter: 8
Length of side: 3| Perimeter: 12
Length of side: 4| Perimeter: 16
Length of side: 5| Perimeter: 20
What is the recursive formula for the perimeter of a square of side n(the nth perimeter) using the first number(perimeter) in the pattern?| I am not sure what the answer is, but the answer I got was: an = an(n - 1) + 4

Click here to see answer by ikleyn(52788)

Question 1196659: What is the missing term of the geometric sequence {-3,_,-108}?
Click here to see answer by math_helper(2461)

Question 1196659: What is the missing term of the geometric sequence {-3,_,-108}?
Click here to see answer by Alan3354(69443)

Question 1196659: What is the missing term of the geometric sequence {-3,_,-108}?
Click here to see answer by ikleyn(52788)

Question 1196659: What is the missing term of the geometric sequence {-3,_,-108}?
Click here to see answer by MathTherapy(10552)

Question 1196696: Insert the indicated number of harmonic means given the first and last terms.
5/2 and 5/27
Click here to see answer by greenestamps(13200)

Question 1196736: How is the sequence given below generate?
1,4,3,9,9,2,3,7,3,6,1,2,7,2,9,4,4,8,2,2,6,2,6,9,8,2,6,7,6,7...
How can I find the next number in given series?
Please help.
Click here to see answer by greenestamps(13200)

Question 1196746: As the track team manager, Nicole passes out water during practice. Each cup holds 4 ounces.
Nicole brought a water cooler with 128 ounces of cold water.
a) Identify the first term and the common difference. Write this sequence in recursive form and
list the first four terms._________________________________________________________
b) Write the function in explicit form that represents this sequence. _______________________
c) How much water is left after filling 16 cups of water? _______________________________
Click here to see answer by josgarithmetic(39618)

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