Questions on Algebra: Sequences of numbers, series and how to sum them answered by real tutors!

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Question 851570: I have 6 problems and need help. These are the following:
6) A clothes company decides to show its sales by country using a pie chart. If 40% of the clothes manufactured are sold in Italy, what is the corresponding angle on this pie chart.
Thank you for your help!

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Question 851565: In an a.p, the sum of first 11 terms is 44 and that of next 11 terms is 55 find the first term and common diffrence
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Question 850719: please help
Given the geometric sequence -2, 6, -18, ... find the next term
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Question 851614: What is the tenth term of the sequence
64, 16, 4, ...?

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Question 851614: What is the tenth term of the sequence
64, 16, 4, ...?

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Question 850703: For what value of n are hen nth terms of two APs: 53,55,57, ...and 4,11,18,...equal?
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Question 850701: if seventh term of geometric sequence is 64 and sum of first ten terms is 1023 then find the sum of fifteen terms of gs.

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Question 849065: Given the geometric sequence -2, 6, -18, ... find the next term
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Question 851679: What is the sum of the first 10 terms of the sequence an=4n-3
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Question 851718: the sum of the second and the fifth terms of an arithmetic sequence is 47,while the sum of the first eight terms is 116.Find the first two terms.thank you
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Question 851705: Robin bought a computer for $1250. It will depreciate, or decrease in value, by 10% each year that she owns it. Show all work.

a) Is the sequence formed by the value at the beginning of each year arithmetic, geometric, or neither? Explain
b) Write an explicit formula to represent the sequence.
c) Find the value of the computer at the beginning of the 6th year.
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Question 851995: Find the common difference and the 8th term of the arithmetic progression 7, 11, 15, 9
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Question 851962: 6. Identify the sequence {-2, 2, -2, 2 ...} as arithmetic or geometric. Then find the common difference or ratio as appropriate.
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Question 851700: The number of seats in the first 12 rows of a high school auditorium from an arithmetic sequence. The first row has 9 seats. The second row has 11 seats.
Show all work.

a) Write a recursive formula to represent the sequence.
b) Write an explicit formula to represent the sequence.
c) How many seats are in the 12th row?
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Question 851998: If the first term of the progression is -1 and the 10th term us 17, find the d and write the 10 terms of the progression. Thaank you!
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Question 852138: please help
Rewrite the following series in summation notation
7 + 12 + 17 + 22 + 27 + 32
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Question 852085: the fourth term in an arithmetic sequence is 18 and the 9th term is 43. write the sequence.
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Question 850575: find five numbers in A.P whose sum is 12/2 and their ratio of first to last is 2:3?
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Question 852197: Find a1 and d for an arithmetic sequence with these terms: a4=9 and a7=18
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Question 845647: A geometric sequence has first term 2 and common ratio 1. Find the 5th term

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Question 850361: The sum of the first 3 terms is 42 and the sum of the next 3 terms is 5 1/4. Determine the first 3 terms of geometric progression.
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Question 850133: if the 5th term & 8th term =30 & if the 25th term is 3 times the 9th term . Find the ap
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Question 852499: Three numbers are in the ratio 2:5:8 . If 10 is added to the middle number, the number form a G P. Find the numbers? Plz help me solve this problem.
Click here to see answer by dkppathak(439)

Question 852424: 1 4 9 18 68 what is the next no
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Question 850690: What number is needed to replace the question mark
(4,32,12) (18,52,8) (10,40,?)
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Question 852216: Given the functions f(n) = 500 and g(n) = ()n − 1, combine them to create a geometric sequence, an, and solve for the 11th term.
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Question 852544: asha got 85% marks in the annual examination. if she got 680 marks, find the total maximum marks of the examination
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Question 852544: asha got 85% marks in the annual examination. if she got 680 marks, find the total maximum marks of the examination
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Question 852546: In an election a candidate got 60% of the total valid votes. 15% of the total valid votes were declared invalid. if the total number of votes was 50000, find the number of valid votes polled in favour of the candidate
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Question 850851: 1
2 3 4
5 6 7 8 9
10 11 12 13 14 15 16
17 18 19 20 21 22 23 24 25
d. "Diagonals" are parallel to an edge. For example, 4, 7, 12, 19.....is a diagonal. What are its next two terms of this diagonal? What is its term in the nth row for this diagonal? Note: This is not the nth term of the diagonal.

e. Examine the sequence in the columns. For example, center column is 1, 3, 7, 13, 21,.... What are the nest two terms? What is the center term in the nth row?
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Question 848509: The sum to n terms of an arithmetic series is sn=n/2 +(7n+15).determine the 6th tern and how many terms of the series must be added to give a sum of 425
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Question 849060: Find the 31st term in the sequence whose general term is an = -3 + 4(n - 1).
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Question 852602: I am thinking of a number. When i add 55 to it and multiply by 2, I get 310. What is my number?
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Question 852680: the sum to n terms of a sequence of numbers is given as:
Sn=n/2(5n+9). or Sn=(n/2)(5n+9)
find the 20th term of this sequence
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Question 852612: find an arithmetic sequence of four terms whose sum is 10, if sum of their squares is 70
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Question 845783: what is the sum of the first six terms in the geometric sequence 1,4,16?
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Question 844386: What is the pattern and the recursion formula.for the sequence 16, 24, 32, 44, 60, 82, . . .?
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Question 851133: If x =-2, y=-4/5 and z =-1/2 show that x,y,z are 3 consecutive of a harmonic progression
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Question 849932: In the arithmetic sequence where the third term is 9, how many terms are added together to get a sum of 153.
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Question 849071: Given that the first term of a geometric sequence is -320 and seventh term is -3645, the common ratio to the nearest tenth is?
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Question 852712: If the 6th term is 18 and the 8th term is 32 what is the 7th term?
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Question 849061: What is the common ratio for the geometric sequence -1⁄3 , 1⁄6 , -1⁄12 ...
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Question 852718: How does this sequence work? And what is next number?
8,10,11,12,13,20,22,?
please email:jacruth1@hotmail.com
I thought it might be some kind of modular arithmetic ie remainders but it breaks down at 20
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Question 847803: The sum of the first 5 terms of 3+7+11+...is
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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