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

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Question 1122533: 1. The nth term of a sequence is given by the formula: n/2(3n^2+1), find the 6th terms.
2. The nth term of a sequence is denoted by 3n(2^n-1), find the sum of the first 5 terms
3. What is the value of X for which the expression is not defined: 2x+3/x2-16?

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Question 1122533: 1. The nth term of a sequence is given by the formula: n/2(3n^2+1), find the 6th terms.
2. The nth term of a sequence is denoted by 3n(2^n-1), find the sum of the first 5 terms
3. What is the value of X for which the expression is not defined: 2x+3/x2-16?

Click here to see answer by greenestamps(13200) About Me 
Question 1122533: 1. The nth term of a sequence is given by the formula: n/2(3n^2+1), find the 6th terms.
2. The nth term of a sequence is denoted by 3n(2^n-1), find the sum of the first 5 terms
3. What is the value of X for which the expression is not defined: 2x+3/x2-16?

Click here to see answer by Edwin McCravy(20056) About Me 

Question 1206849: t1=-3. tn=4-2t^n-1 find t4
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Question 1206849: t1=-3. tn=4-2t^n-1 find t4
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Question 1206849: t1=-3. tn=4-2t^n-1 find t4
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Question 1206905: A rubber ball is dropped on to a concrete driveway from a garage roof 10 feet above the ground. With each rebound, the ball loses 10% of its previous vertical height.
a)calculate, to the nearest hundredth of a foot, the total vertical distance(up and down) travelled by the ball when it contacts the ground for the fourth time.
b)calculate the total vertical distance travelled by the ball until it come to rest.

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Question 1206909: 5. a. Find the center and the radius of each circle
(𝑥 − 3)^2 + (𝑦 + 5)^2 = 49

b. For each ellipse, determine the coordinates of the centre, lengths of the major and minor axes.
(𝑥 − 4)^2/25 + (𝑦 + 6)^2/49 = 1

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Question 1206909: 5. a. Find the center and the radius of each circle
(𝑥 − 3)^2 + (𝑦 + 5)^2 = 49

b. For each ellipse, determine the coordinates of the centre, lengths of the major and minor axes.
(𝑥 − 4)^2/25 + (𝑦 + 6)^2/49 = 1

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Question 1207524:
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Question 1207525: In this sequence, what number would logically come next.
24846594

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Question 1207532: a photographer was set to reduce the dimensiopn of a drawing to 70% of their orginal size. If the reduction was repeated until the final dimension were about 6% of the original dimensions, then the number of reductions was?
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Question 1207532: a photographer was set to reduce the dimensiopn of a drawing to 70% of their orginal size. If the reduction was repeated until the final dimension were about 6% of the original dimensions, then the number of reductions was?
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Question 1207578: Cai writes down the list of positive integers, excluding squares and cubes. His sequence starts
2, 3, 4, 6, 7, 10, 11, ...
What is the 10000th term in Cai's list?

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Question 1207578: Cai writes down the list of positive integers, excluding squares and cubes. His sequence starts
2, 3, 4, 6, 7, 10, 11, ...
What is the 10000th term in Cai's list?

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Question 1207627: If a,b,c are in AP then prove that a^2(b+c),b^2(c+a),c^2(a+b) are in AP
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Question 1207587: The sum
6\left( 1\cdot1 + 2\cdot2 + \dots + n(n) \right)
is equal to a polynomial f(n) for all n \ge 1.
Write f(n) as a polynomial with terms in descending order of n.

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Question 1208027: Find the valee of k and the 17 term of each of the following arithmetic sequence
6)2k+1,5k-3, 7k-2
7) 7k+2,5k+4,4k-5

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Question 1208027: Find the valee of k and the 17 term of each of the following arithmetic sequence
6)2k+1,5k-3, 7k-2
7) 7k+2,5k+4,4k-5

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Question 1208111: what the Nth of sequence 1 2 8 48 384 3840
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Question 1208200: The 1st term of a g.p is x and the 3rd is y find an expression for the common ratio in terms of x and y


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Question 1208200: The 1st term of a g.p is x and the 3rd is y find an expression for the common ratio in terms of x and y


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Question 1208200: The 1st term of a g.p is x and the 3rd is y find an expression for the common ratio in terms of x and y


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Question 1208205: Find the last two digits of (1! + 2! + 3! + ... + 2024!)^2024
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Question 1208208: a fare for the first 4 km in the jeepney is 13 pesos and an additional is 1.6 pesos for the succeeding kilometer. how much will you pay if you travel 7 kilometer?
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Question 1208208: a fare for the first 4 km in the jeepney is 13 pesos and an additional is 1.6 pesos for the succeeding kilometer. how much will you pay if you travel 7 kilometer?
Click here to see answer by josgarithmetic(39618) About Me 

Question 1208222: 951,990,097,757,544,979,063,395,???
626,481,598,116,690,593,504,503,???,041,867,606,???

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Question 1208329: Identify the pattern by stating the rule 3, 12, 21, 30, 39

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Question 1208329: Identify the pattern by stating the rule 3, 12, 21, 30, 39

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Question 1208329: Identify the pattern by stating the rule 3, 12, 21, 30, 39

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Question 1208339: Find the next term 5, 14, 17, 30,
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Question 1208339: Find the next term 5, 14, 17, 30,
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Question 1208339: Find the next term 5, 14, 17, 30,
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Question 1208339: Find the next term 5, 14, 17, 30,
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Question 1208362: The math subtraction problem.
210,290
- 45,720
= 164,570 (I need to know why did the zero next to the 1
was changed to the number 9 in order to subtract
the number 5).

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Question 1208362: The math subtraction problem.
210,290
- 45,720
= 164,570 (I need to know why did the zero next to the 1
was changed to the number 9 in order to subtract
the number 5).

Click here to see answer by Edwin McCravy(20056) About Me 

Question 1208439: If 123y=83ten, find the value of y
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Question 1208439: If 123y=83ten, find the value of y
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Question 1208439: If 123y=83ten, find the value of y
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Question 1208439: If 123y=83ten, find the value of y
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Question 1208497: 1/2, 2/3, 6/5,?
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Question 1208497: 1/2, 2/3, 6/5,?
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Question 1208497: 1/2, 2/3, 6/5,?
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Question 1208496: १/२, २/३, ६/५,?
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Question 1208496: १/२, २/३, ६/५,?
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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