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

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Question 1138563: 1/2,2/5,1,
What's the sixth term of sequence?

Click here to see answer by greenestamps(13200) About Me 
Question 1138563: 1/2,2/5,1,
What's the sixth term of sequence?

Click here to see answer by ikleyn(52788) About Me 
Question 1138563: 1/2,2/5,1,
What's the sixth term of sequence?

Click here to see answer by MathLover1(20850) About Me 

Question 1138580: Find the sum of the series, if it converges. Otherwise, enter DNE.
sum from n to infinity of: 3/(n(n+2))

Click here to see answer by ikleyn(52788) About Me 

Question 1138660: A game involves earning points by rolling a special​ 6-sided die that says 13 on three​ faces, 23 on​ two, and 28 on the sixth face.​ What's the expected number of points a player will earn by rolling this​ die?
Click here to see answer by Boreal(15235) About Me 

Question 1138670: (144,108,81,60.75,...)
Is the sequence arithmetic, geometric, or neither?
-I said geometric
Write an expression for the nth term.
-I'm not sure what equation is supposed to be used. I'm pretty sure It's either:
-Sn=a1(1-r^n/1-r) or Sn=n(a1+an/2)
Calculate the first 10 terms. Express your answer to 5 places past the decimal.
-Would I used one of the formulas above and just plug in 1-10?
Does the sequence above have an infinite sum? If so, calculate the infinite sum. If not, tell why it does not have an infinite sum.
- Is infinite sum a different equation? I don't know what that is


Click here to see answer by josgarithmetic(39618) About Me 
Question 1138670: (144,108,81,60.75,...)
Is the sequence arithmetic, geometric, or neither?
-I said geometric
Write an expression for the nth term.
-I'm not sure what equation is supposed to be used. I'm pretty sure It's either:
-Sn=a1(1-r^n/1-r) or Sn=n(a1+an/2)
Calculate the first 10 terms. Express your answer to 5 places past the decimal.
-Would I used one of the formulas above and just plug in 1-10?
Does the sequence above have an infinite sum? If so, calculate the infinite sum. If not, tell why it does not have an infinite sum.
- Is infinite sum a different equation? I don't know what that is


Click here to see answer by jim_thompson5910(35256) About Me 

Question 1138736: sequence50,15,40,59
Click here to see answer by MathLover1(20850) About Me 

Question 1138996: which term of the G.P 1/2,3/4,9/8....is 3^9/2^10?
Click here to see answer by josgarithmetic(39618) About Me 

Question 1138997: please help me solve this equation : the A.M of two numbers is 15 and their G.M is 9 find the numbers?
Click here to see answer by greenestamps(13200) About Me 
Question 1138997: please help me solve this equation : the A.M of two numbers is 15 and their G.M is 9 find the numbers?
Click here to see answer by ikleyn(52788) About Me 

Question 1139019: the first term of an A.P and the last term is 69.if the sum of all the terms is 511.find the common difference and the number of term?
Click here to see answer by josgarithmetic(39618) About Me 
Question 1139019: the first term of an A.P and the last term is 69.if the sum of all the terms is 511.find the common difference and the number of term?
Click here to see answer by ikleyn(52788) About Me 

Question 1139111: find the two geometric means of 9,-,-,-243
Click here to see answer by ikleyn(52788) About Me 

Question 1139168: consider the progression 11,8,5,2,.......
Determine whether he number -150 is a term of this Progression? Justify by using mathematical rules

Click here to see answer by josgarithmetic(39618) About Me 
Question 1139168: consider the progression 11,8,5,2,.......
Determine whether he number -150 is a term of this Progression? Justify by using mathematical rules

Click here to see answer by ikleyn(52788) About Me 

Question 1139210: 3, -6, 12, 4, 20, ?
7, 16, 8, 27, 9, ?
2, 7, 26, 101, 400, ?
7, 21, 8, 72, 9, ?

Click here to see answer by ikleyn(52788) About Me 

Question 1139208: What is the next number please,
3, -6, 12, 4, 20

Click here to see answer by Boreal(15235) About Me 
Question 1139208: What is the next number please,
3, -6, 12, 4, 20

Click here to see answer by greenestamps(13200) About Me 

Question 1139262: 4.
a. The common difference in an arithmetic sequence is 8 and the sum of the first 14 terms is 966,
find the first term?
b. Solve 4x^2 − 9x ≤ 9.
c. Given that q is the number of ball pumps people are willing to buy per week from a manufacturer
at a price of 1200 − 60√q + 27 dollars .
i. Write an expression R, for total revenue.
ii. Find marginal revenue,dR/dq when q = 12.

Click here to see answer by josgarithmetic(39618) About Me 
Question 1139262: 4.
a. The common difference in an arithmetic sequence is 8 and the sum of the first 14 terms is 966,
find the first term?
b. Solve 4x^2 − 9x ≤ 9.
c. Given that q is the number of ball pumps people are willing to buy per week from a manufacturer
at a price of 1200 − 60√q + 27 dollars .
i. Write an expression R, for total revenue.
ii. Find marginal revenue,dR/dq when q = 12.

Click here to see answer by ikleyn(52788) About Me 

Question 1139413: pls help me out with this:the sum of n term of two A.P are in the ratio of 7n+1:4n+27.find the ratio of there 11th term?
Click here to see answer by ikleyn(52788) About Me 

Question 1139635: 14, 23, 32, 41,...
what is the 50th term

Click here to see answer by josgarithmetic(39618) About Me 
Question 1139635: 14, 23, 32, 41,...
what is the 50th term

Click here to see answer by greenestamps(13200) About Me 
Question 1139635: 14, 23, 32, 41,...
what is the 50th term

Click here to see answer by MathTherapy(10552) About Me 

Question 1139642: What number comes next 10, 9, 60, 90, 70 and 66?
Click here to see answer by ikleyn(52788) About Me 

Question 1139756: 3, -6, 12
Click here to see answer by Alan3354(69443) About Me 

Question 1139751: Determine whether the series converge or diverge using Leibnitz test
the nth term as n tends to infinity = (-1)^n-1 / n^2

Click here to see answer by MathLover1(20850) About Me 

Question 1139966: A spinner is divided into 4 sections. The spinner is spun 100 times.
The probability distribution shows the results.

What is P(2 ≤ x ≤ 4)?
Is my answer correct?
The question and my answer are in the link here: https://prnt.sc/nhi27m

Click here to see answer by rothauserc(4718) About Me 

Question 1139965: What is the value of P(X = 3 or X = 0)?
Enter your answer in the box.
Is my answer correct?
The question and my answer are in the link here: https://prnt.sc/nhi1pm

Click here to see answer by MathLover1(20850) About Me 

Question 1139962: Which probability distribution table reflects the data shown in the bar graph?
Is my answer correct?
The question and my answer are in the link here: https://prnt.sc/nhhxpy

Click here to see answer by MathLover1(20850) About Me 

Question 1139964: Which statements explain that the table does not represent a probability distribution?
Select EACH correct answer.
Is my answer correct?
The question and my answer are in the link here: https://prnt.sc/nhhyyw

Click here to see answer by MathLover1(20850) About Me 

Question 1139963: In a medical study, the heights of a group of men were measured to the nearest inch.
There were 120 men with heights of 60 - 64 inches, 280 men with heights of 65 - 69 inches, 312 men with heights of 70 - 74 inches, and 162 men with heights of 75 - 79 inches.
Which probability distribution table best reflects the data?
Is my answer correct?
The question and my answer are in the link here: https://prnt.sc/nhhyi2

Click here to see answer by MathLover1(20850) About Me 

Question 1140087: What is the next number in this sequence?
106, 63, 63, 55, 32, 98, 7, 8, 19, 38, 63, 66, 83, 55, 13, 35, 63, 59, 52, 108, 50, 71, 29, 3, 19

Click here to see answer by greenestamps(13200) About Me 
Question 1140087: What is the next number in this sequence?
106, 63, 63, 55, 32, 98, 7, 8, 19, 38, 63, 66, 83, 55, 13, 35, 63, 59, 52, 108, 50, 71, 29, 3, 19

Click here to see answer by ikleyn(52788) About Me 

Question 1140118: What is the nth term of this number sequence
7,10,13,16...

Click here to see answer by josgarithmetic(39618) About Me 

Question 1140146: What is the next fraction in this sequence? Simplify your answer.
1/84 , 1/42 , 1/21 , 2/21

Click here to see answer by math_helper(2461) About Me 

Question 1140158: the third term is 12 and the sum of the first two terms is 9. What is the common ratio and first term
Click here to see answer by josgarithmetic(39618) About Me 

Question 1140234: Sn is the sum of the first n terms of a series given by Sn=n^2-1. Find the nth term.
Click here to see answer by greenestamps(13200) About Me 

Question 1140351: Three numbers are in G. P. Their sum is 43 and their product is 216. Find the numbers in
proper order

Click here to see answer by ikleyn(52788) About Me 

Question 1140358: find the nth term of the sequence -2/3,-1/6,1/3,5/6,4/3
Click here to see answer by MathLover1(20850) About Me 
Question 1140358: find the nth term of the sequence -2/3,-1/6,1/3,5/6,4/3
Click here to see answer by greenestamps(13200) About Me 

Question 1140428: the first term of a geometric series is 3,the last term is 768 if the sum of the term is 1533 find the common ratio and the number of terms
Click here to see answer by ikleyn(52788) About Me 
Question 1140428: the first term of a geometric series is 3,the last term is 768 if the sum of the term is 1533 find the common ratio and the number of terms
Click here to see answer by greenestamps(13200) About Me 

Question 1140401: The price of petrol in Phnom Penh was x cents per liter in December 2016. In April 2017 the price
had increased by 12 cents per liter.
a) How many liters of petrol could be bought with $58 in December 2016?
b) How many liters of petrol could be bought with $58 in April 2017?
c) If the difference in the number of liters of petrol bought in December 2016 and April 2017 is 4 11, 16
form an equation in x and show that it reduces to 𝑥2 + 12𝑥 − 14848 = 0.
d) Solve the equation in (c) and use it to find the number of liters of petrol that could be bought with
$34 in December 2016, giving your answer correct to 1 decimal place.

Click here to see answer by greenestamps(13200) About Me 

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