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 1153523: The first, third and ninth terms of a linear sequence (A.P) are equal to the first three terms of a exponential sequence (G.P). if the seventh term of the linear sequence is 14.
Calculate:
(a) the twentieth term of the linear sequence
(b) the sum of the first twelve term of the G.P.

Click here to see answer by jim_thompson5910(35256)

Question 1153625: Find a1, d, and the Explicit Rule for this arithmetic sequence: -3, 4, 11, 18, 25
Click here to see answer by MathLover1(20850)

Question 1153679: another caliper test question:
Section the option for "?" that continues to pattern of
7, 16, 8, 27, 9, ?
answers:
27
10
40
37
Click here to see answer by josgarithmetic(39617)

Question 1153679: another caliper test question:
Section the option for "?" that continues to pattern of
7, 16, 8, 27, 9, ?
answers:
27
10
40
37
Click here to see answer by MathLover1(20850)

Question 1153678: Select the option for "?" that continues the pattern in each question.
3, -6, 12, 4, 20, ?
13
14
6
16
it's for a caliper test at my office. I have no idea why nor do I have any idea how to solve this...
Click here to see answer by math_helper(2461)

Question 1153681: what is the next number for this pattern
7, 21, 8, 72, 9, ?
answer:
81
243
123
136

Click here to see answer by MathLover1(20850)

Question 1153680: complete the pattern (what is the ?)
2, 7, 26, 101, 400, ?
answer:
1595
800
695
1840
have no idea what they are asking..
Click here to see answer by ikleyn(52787)

Question 1153680: complete the pattern (what is the ?)
2, 7, 26, 101, 400, ?
answer:
1595
800
695
1840
have no idea what they are asking..
Click here to see answer by MathLover1(20850)

Question 1153863: 7,10,16,22,?,40,52
i have no idea about '?' number
Click here to see answer by ikleyn(52787)

Question 1153863: 7,10,16,22,?,40,52
i have no idea about '?' number
Click here to see answer by greenestamps(13200)

Question 1153863: 7,10,16,22,?,40,52
i have no idea about '?' number
Click here to see answer by josgarithmetic(39617)

Question 1154077: The second term of a GP is 4, the fifth term is 81. Find the seventh term
Click here to see answer by MathLover1(20850)

Question 1154147: There are
four numbers in an Arithmetic
Progression. The sum of the
two extremes is 8, and the
product of the middle two
numbers is 15. What are the
numbers?
Click here to see answer by ikleyn(52787)

Question 1154148: a^2+3ad+2d^2=15,
2a+ 3d=8
Two possible progressions
a = 1, d = 2
1,3,5,7
or
a = 7, d = -2
7,5,3,1.....how?
Click here to see answer by greenestamps(13200)

Question 1154201: Which number comes next 2, 7, 26, 101, 400, ?
Click here to see answer by ikleyn(52787)

Question 1154200: which number comes next?
Click here to see answer by ikleyn(52787)

Question 1154199: 3, -6, 12, 4, 20, ? which number comes next
Click here to see answer by ikleyn(52787)

Question 1154199: 3, -6, 12, 4, 20, ? which number comes next
Click here to see answer by Edwin McCravy(20056)

Question 1154353: write a linear function f with f(-2) = 6 and f(0) = -4
Click here to see answer by josgarithmetic(39617)

Question 1154353: write a linear function f with f(-2) = 6 and f(0) = -4
Click here to see answer by ikleyn(52787)

Question 1154461: If an= 27 , a1= -12 and d=3 find n
Click here to see answer by josgarithmetic(39617)

Question 1154461: If an= 27 , a1= -12 and d=3 find n
Click here to see answer by ikleyn(52787)

Question 1154458: If a1 = -27 and d = 3 find a24
Click here to see answer by ikleyn(52787)

Question 1154538: What is the ratio of the sequence?
-1, -2, -4, -8, ...

Click here to see answer by josgarithmetic(39617)

Question 1154591: This is actually an alpha sequence that I need to find the next alpha character.
A Z E B I Y O ?
Click here to see answer by greenestamps(13200)

Question 1154845: find a1 for the geometric sequence with the given terms a5=32 a7=128
Click here to see answer by mananth(16946)

Question 1154928: 12 divided by the difference of a number

Click here to see answer by Alan3354(69443)

Question 1154947: The first term is 0; the second term is 3. What is the eleventh term in the sequence
Click here to see answer by josgarithmetic(39617)

Question 1154947: The first term is 0; the second term is 3. What is the eleventh term in the sequence
Click here to see answer by MathLover1(20850)

Question 1154957: The first term is 0; the second term is 3. What is the eleventh term in the sequence.
The first term is 0; the second is 6; What is the twelfth term in sequence?
Fill in with a number. Each term in the second sequence is ___ times the value of the corresponding term in first sequence.
Click here to see answer by josgarithmetic(39617)

Question 1155004: Solve the equation 15x^3+14x^2-3x-2=0given that -1 is a zero of f(x)15x^3+14x^2-3x-2=0
where does the (x+1) come from?

what is the best way to solve
15x^3+14x^2-3x-2=0

Click here to see answer by ewatrrr(24785)

Question 1155106: if A1 =-5 and d=8 (a)write an equation for the nth term and (b) the first 3 terms
Click here to see answer by josgarithmetic(39617)

Question 1155106: if A1 =-5 and d=8 (a)write an equation for the nth term and (b) the first 3 terms
Click here to see answer by MathLover1(20850)

Question 1155269: A manufacturer of wooden articles produces tables and chairs which require two types of inputs mainly, the being wood and labour. The manufacturer knows that for a table 3 units of wood and 1 unit of labour are required while for a chair they are 2 units each. The profit from each table is 20 USD while it is 16 USD for each chair. The total available resources for the manufacture are 150 units of wood and 75 units of labour. The minimum demand for chairs is 10 and the minimum demand for tables is 8. The manufacturer wants to maximize his profit by distributing his resources for tables and chairs. Formulate the problem mathematically.
Click here to see answer by Theo(13342)

Question 1155268: A manufacturer of wooden articles produces tables and chairs which require two types of inputs mainly, the being wood and labour. The manufacturer knows that for a table 3 units of wood and 1 unit of labour are required while for a chair they are 2 units each. The profit from each table is 20 USD while it is 16 USD for each chair. The total available resources for the manufacture are 150 units of wood and 75 units of labour. The minimum demand for chairs is 10 and the minimum demand for tables is 8. The manufacturer wants to maximize his profit by distributing his resources for tables and chairs. Formulate the problem mathematically.
Click here to see answer by ikleyn(52787)

Question 1155510: What is the next number in the sequence...3, -6,12, 4, 20

Click here to see answer by greenestamps(13200)

Question 1155576: A baker Has 400kg of flour on the first day of the month and uses no flour that day. How much will he have at closing time on the 17th day of the month, if he uses 24kg each day ?
SHOW YOUR CALCULATIONS USING THE FORMULA an
Of an arithmetic sequence
Click here to see answer by josgarithmetic(39617)

Question 1155578: A baker Has 400kg of flour on the first day of the month and uses no flour that day. How much will he have at closing time on the 17th day of the month, if he uses 24kg each day ?
SHOW YOUR CALCULATIONS USING THE FORMULA an
Of an arithmetic sequence'
I need steps pleasee
Click here to see answer by ikleyn(52787)

Question 1155674: 188,282,530,695,1122,1399 what would be the next value? How can I generlize this seriies. Looking forward to positive feedback. Thank you
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