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 1197922: How many integer solutions (a,b,c) make the equation true?
Click here to see answer by math_tutor2020(3817)

Question 1198089: Show that the terms of the series ∑n r=1 log 5r are in AP. Hence, find the sum of the first twenty terms of the series and also the least value of n for which the sum to n terms exceeds 400.[ans: S20 = 146.78, n = 34]
Click here to see answer by greenestamps(13200)

Question 1198088: Find the difference between the sums to ten terms of the AP and GP whose first two terms are -2 and 4.
Click here to see answer by ewatrrr(24785)

Question 1198159: You can buy jars of the same jam In two sizes
454g for £1.59 or 340g for £1.25
Which jar is better for value

Click here to see answer by MathLover1(20850)

Question 1198475: Find the first three terms of the sequence, An=-2+(1-n)(-7).
The correct answer is one of the following. Which one?
A) A1=-2,A2=6,A3=14
B) A1=12,A2=19,A3=26
C) A1=-9, A2=-1,A3=7
D) A1=-1,A2=6,A3=13
E) A1=-2,A2=5,A3=12

Click here to see answer by greenestamps(13200)

Question 1198476: Find the 20th term of the arithmetic sequence in which A6=70 and A9=91.
One of the following is the correct answer. Which one?
A) 1061
B) 263
C) 175
D) 168
E) 133
Click here to see answer by greenestamps(13200)

Question 1198565: The first term of an AP is 7. And the last term is 77.and the sum is 380. Find the common difference in the series.
Click here to see answer by ikleyn(52787)

Question 1198571: Given that f(x)=(r+1)!/(r-1)!
Simplified f(x)
Evaluate the sum from 1to10of f(x)
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Question 1198570: A wood man stuck 8k+5log of wood in a pile such that the pile contain k layet .the top layer contain 8logs,each layer contain 1logs than the layer immediately above it . find the value of k .find the total number of logs

Click here to see answer by ankor@dixie-net.com(22740)

Question 1198588: Let f(x)=3x^2-4x+1. What is the average rate of change of f(x) over the interval [2,3]?
One of the following is the correct answer. Which one?
A) 21
B) 11/5
C) 11
D) 2
E) 2/5
Click here to see answer by greenestamps(13200)

Question 1198602: Find the sumΣ between n=1 and infinity for the expression 2(1/3)^n-1.
The correct answer is one of the following. Which one.
A) 3
B) 3/2
C) 6
D) 4/3
E) 4
F) does not exist
Click here to see answer by ikleyn(52787)

Question 1198601: What is the sum Σ from n=1 to infinity for the expression (-1)^n+1 (1/3n).
The correct answer is one of the following. Which one?
A) 13/180
B) 7/36
C) -13/180
D) 25/36
E) -7/36
Click here to see answer by greenestamps(13200)

Question 1198622: Is the following series, 5 -10/3 +20/9 -40/27.
Convergent, or divergent?One of the following is the correct answer. Which one?
A) divergent
B) convergent
Click here to see answer by math_tutor2020(3817)

Question 1198628: In the convergent series, 5 -10/3 +20/9 -40/27... what does the series converge to?
The answer is one of the following. Which one?
A) the series converges to 5
B) the series converges to 15
C) the series converges to 3
D) the series converges to 9
Click here to see answer by MathLover1(20850)

Question 1198812: Evaluate 1^2 + 1^3 + 2^2 + 2^3 + 3^2 + 3^3 + ... + 150^2 + 150^3
A. 128,384,358
B. 129,391,900
C. 135,391,800
D. 147,920,368
Click here to see answer by math_tutor2020(3817)

Question 1198862: Given the following elements of an arithmetic series, a1=3 and a5=-17, find a21.
The correct answer is one of the following. Which one is correct?
A) -51
B) -100
C) -97
D) -92
Click here to see answer by greenestamps(13200)

Question 1198760: 1- The probability of an integrated circuit failing a quality test performed by the quality
section in the factory is 0.0045 In a batch of 25 integrated circuits (assuming a binomial
distribution) calculate the probabilities that:
a) 10 will pass
b) 15 will fail
c) at least 20 will pass
d) Fewer than 3 will fail.
2- Fuses blowing current follow a normal distribution with a mean current of 2 amp and a
standard deviation of 0.12 amp. Calculate by using normal distribution the proportion of
fuses blowing with:
a) Currents between 1.75 amp and 2.13 amp.
b) Current less than 2.82 amp
c) Current greater than 1.24
Click here to see answer by ikleyn(52787)

Question 1198930: A man is able to save 50naira of his salary in a particular year. After every year he saved 20naira more the preceding year. How long does it take him to save 4370naira

Click here to see answer by ikleyn(52787)

Question 1199002: Compute the sum Σ from k=1 to infinity of (-7/6)^(k-1)
The correct answer is one of the following. Which one is correct?
A) 7/6
B) 7
C) 7/13
D) does not exist
Click here to see answer by mccravyedwin(407)

Question 1199246: The median price of a house in Orange County increases by about 6% per year. In 2002 the median price was $240,000. Let Pn be the median price n years after 2002.
(a) Find a formula for the sequence Pn
Click here to see answer by ikleyn(52787)

Question 1199272: Partial Sum of a Geometric Sequence Find the sum of the first ten terms of the sequence
a + b, a^2 + 2b, a^3 + 3b, a^4 + 4b,...
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Question 1199317: 29,16,--,18,17,--
fill in the spaces with a number
Click here to see answer by josgarithmetic(39617)

Question 1199317: 29,16,--,18,17,--
fill in the spaces with a number
Click here to see answer by ikleyn(52787)

Question 1199329: The increasing sequence T = 2 3 5 6 7 8 10 11 consists of all positive integers which are not perfect squares. What is the 2012th term of T?

Click here to see answer by greenestamps(13200)

Question 1199359: In a geometric sequence of real numbers, the sum of the first
two terms is 7 and the sum of the first six terms is 91. What is the sum of
the first four terms?
Click here to see answer by ikleyn(52787)

Question 1199366: I need to know what is the pattern to these numbers
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Question 1199475: The 7th term is 56 and the 12th term is -1792 of the geometric
sequence. Find the ratio and the first term. Assume the
ratios are equal.
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Question 1199498: 2.32,1.79,1.45,2.90,4.99,1.75,1.08,1.41,4.27,1.08 those numbers are in a secret sequence Try to find the next number. all informations you have is the minimum number is 1.00 and the chance of the next number exceeding 10+ is <1%.
Click here to see answer by ikleyn(52787)

Question 1199553: Once a month, Benfort put some money into the bamboo jar. Each month, he put 50 centavos more into the jar than the month before. On its 12th yr, he counted his money for his graduation; and he had Php 5, 436. How much money did he put in the jar in the last month?
Click here to see answer by greenestamps(13200)

Question 1199550: Find the geometric series of the first 10 terms if the geometric sequence is 2, 4, 8, 16,...
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Question 1199551: Determine the arithmetic series between 3 and 35 if n=9.
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Question 1199566: The numbers 2, b, c, d, 72 are listed in increasing order so that 2, b, c form an arithmetic sequence, b, c, d form a geometric sequence, and c, d, 72 form a harmonic sequence. What is the value of b + c?
Click here to see answer by greenestamps(13200)

Question 1199617: Resolve the following sum: ∑ (𝑘 + 𝑖^𝑘),from k=1 to n=4q where q is a natural number and 𝑖^2 = −1.
A) 𝑛(2𝑛 + 1) B) 2𝑛(4𝑛 + 1) C) 0 D) 𝑛(4𝑛 + 1) E) 2𝑛(4𝑛 − 1)
Click here to see answer by ikleyn(52787)

Question 1199651: The sum of the first four terms of a linear sequence A.p is 26 and that of the next four term is 74. find the value of the first term ,the common difference
Click here to see answer by ikleyn(52787)

Question 1199685: Find P if p-3,3p+5 and 18p-5 are three consecutive terms of a geometric progression
Click here to see answer by ikleyn(52787)

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