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 905201: Write the general term for this number sequence.
61, 52, 63, 94, 46, 18, ...
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Question 905437: what is the value of {t} in 1/3(t + 7) = 46?

Click here to see answer by ewatrrr(24785)

Question 905771: Find 37th term And 101st term of the sequence 2 5 8 11...
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Question 905166: The second difference of a sequence is a constant 5. The difference between the first term and the second term, 12 is 8. Find the first five terms.
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Question 905891: 7, 21, 8, 72, 9
What's the answer?
81
243
123
136

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Question 906281: Use the formula below to find the 6th term in the geometric sequence.
an=(5)(2/3)n-1

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Question 906569: What is the 10th term of a GP 5, 30, 180, .........
What is the sum of the first 5 terms?

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Question 906286: Identify which of the sequences below is a geometric sequence.
A.
2, 4, 6, 8, ...
B.
3, 6, 18, 54, ...
C.
2, 6, 18, 54, ...
D.
2, 6, 18, 36, ...
Click here to see answer by richwmiller(17219)

Question 906613: For the series 16, 24, 36, 54,... find S7.

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Question 906614: For the series 16, 24, 36,
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Question 907379: Please can you help me to understand the following.
Question. Copy & complete these number patterns by finding the values of the letters.
A) 1/4, 5/16, 3/8 a, b
B) 2/3, a , 5/6, b 1
c) 3/8, a, b,c, 1/2
Many thanks

Click here to see answer by ewatrrr(24785)

Question 907618: List the first five terms of the sequence.
f(n+1)=2f(n)+n. Where f(1)=1, for n > or = 1
Click here to see answer by jim_thompson5910(35256)

Question 907672: 1/2x(238/288)=
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Question 907727: The next number in the series
41 37 38 19 15 16 8 is

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Question 908136: Lynn has a starting salary of $30,000 per year. Her company offers her a raise of 5% each year.
a. Find a rule for Lynn's salary in her nth year. How much will she be earning in her fifth year?
b. Another company offers Lynn the same starting salary with a raise of $2,000 each year. Lynn plans to stay with the same company for 10 years. Which company has the better offer? Explain your answer.

Click here to see answer by richwmiller(17219)

Question 908146: From a length of rod 600cm in length, 25 pieces are cut off, each 1 cm longer than the preceding piece. If the rod is exactly used up find the length of the first piece cut off.
Click here to see answer by josgarithmetic(39618)

Question 908191: 400th term of the sequence 11, 15, 19, 23, . . .
Click here to see answer by Fombitz(32388)

Question 908316: please help me !!
A rectangular garden is fenced on all sides with 160 feet of fencing. The garden is 6 feet longer than it is wide. What is the area of the garden?
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Question 908582: Does anyone know what the next number is?
60 65 63 68 75 74
Possible answers: 76 73 96 99
Thanks in advance!
Click here to see answer by richard1234(7193)

Question 908859: 1, 2, 3, 5, 9, 12, 21 find the next pattern
can u explain why
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Question 908947: 6,14,16,42,68,?
Click here to see answer by Edwin McCravy(20056)

Question 909056: How
many
terms
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Question 909056: How
many
terms
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Question 909087: There are two whole numbers that have greatest common factor of 16. The sum of these two numbers is 384. what are these two numbers

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Question 909221: Derive an expression in the form p/q, where p and q are integers, for the recurring decimal 4.312121212......

Click here to see answer by rothauserc(4718)

Question 909311: The first term of an arithmetical progression is 11 and the sums of the first five and the first ten terms respectively are equal in magnitude but different in sign.Find the second term of the progression.
Click here to see answer by mananth(16946)

Question 909315: Prove by induction that 3^n ≥ 2n +1 for all positive integers.
Click here to see answer by josgarithmetic(39618)

Question 909341: find k given the consecutive arithmetic terms: 5, k, k^2-8
Click here to see answer by MathLover1(20850)

Question 909552: find the missing number from this sequence: 3941652563649
Click here to see answer by richwmiller(17219)

Question 909524: The goal is to buy exactly 100 farm animals with exactly 100 dollars. You must buy at least 1 of each animal. How many of each animal should you buy? Cows: $10 each Pigs: $3 each Chickens: $.50 each
Click here to see answer by richwmiller(17219)

Question 909567: Prove by mathematical induction that:

2^2n - 1 is divisible by 3 for all positive integers n
Click here to see answer by Edwin McCravy(20056)

Question 909300: How to derived an expression in the form p/q where p and q are integers for the recurring decimal 4.312121212
Click here to see answer by Fombitz(32388)

Question 909299: How to derived an expression in the form p/q where p and q are integers for the recurring decimal 4.312121212
Click here to see answer by Fombitz(32388)

Question 909853: Which one of the following is a geometric sequence?
A. 2,
�3, 9⁄2, −18⁄4
B. 0, 1, 2, 3, . . .
C. 8, 4, 2, 1, 1⁄2, 1⁄4, . . .
D.
�7, 10, 23, 36, . . .
Click here to see answer by stanbon(75887)

Question 909885: Write an explicit formula and find the 25th term of the sequence:
-0.6, -1.0, -1.4, -1.8, �

Click here to see answer by ewatrrr(24785)

Question 909241: a..bb..CCC..dddd..eeeee....289th term....
Click here to see answer by Fombitz(32388)

Question 909969: A company that manufactures bookcases finds that the average time it takes an employee to build a bookcase is 10 hours with a standard deviation of 3 hours. A random sample of 36 employees is taken. What is the likelihood that the sample mean will be more than 11 hours?
Click here to see answer by ewatrrr(24785)

Question 910100: 37th power a, = -3 d= 2.8
Click here to see answer by Alan3354(69443)

Question 910300: the numerator of a certain fraction exceeds its denominator by 2, and the fraction itself exceeds its reciprocal by 24/35. find the fraction
Click here to see answer by ewatrrr(24785)

Question 911164: 6) For each of the following sequences, write the next 3 terms. If arithmetic or
geometric, find t(n).
a) 4, 9, 14, 19, � b) 24, 12, 6, 3, �.
c) 91, 82, 73, 64, �.. d) 1, 4, 9, 16, �..
e) -9.5, -7, -4.5, -2, � f) -4, 8, -16, 32, �.
7) Find t(100) for all the arithmetic sequences from problem 6.
Click here to see answer by ewatrrr(24785)

Question 911236: Find the value of the series 11+13+15+...+61.
Click here to see answer by Fombitz(32388)

Question 911236: Find the value of the series 11+13+15+...+61.
Click here to see answer by MathLover1(20850)

Question 911605: how to find the values a and b in an quadratic equation ,when one student took the wrong value of a and got the roots as 6 and 2 ,while another student took the wrog value of b and got the roots as 6 and 1 . what are the correct values of a and b, respectively
Click here to see answer by richwmiller(17219)

Question 238404: 1. Which of the following values is NOT equal to 34(58+9)?

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Question 911938: Calculate the average rate of change for the graphed sequence from n = 2 to n = 6.
Click here to see answer by Alan3354(69443)

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