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 1181767: What is the S12 for tn= 2(3) ^(n-1)
S12 means Sum of 12
I attempted this several times and I got, 1062882, another time I got 531440.
I appreciate any help.
Click here to see answer by ikleyn(52788)

Question 1181940: Determine the sum of the following series (hint: the answer will have the variable 𝑘):
4𝑘 + 11𝑘 + 18𝑘 + ⋯ + 74𝑘
I NEED HELP ASAP!! THANKS
Click here to see answer by ikleyn(52788)

Question 1181942: A ball is dropped from a height of 5m and bounces on the ground. At the top of each bounce, the ball reaches 80% of its previous height. Calculate the total distance travelled by the ball when it hits the ground for the fourth time, accurate to 1 decimal place.
I NEED HELP ASAP!! THANKS

Click here to see answer by greenestamps(13200)

Question 1182030: 2-3, 3-5,
Click here to see answer by ikleyn(52788)

Question 1182088: Identify a pattern in the given list of numbers. Then use this pattern to find the next number. 1/7, 1/13, 1/19, 1/25, 1/31,
Click here to see answer by josgarithmetic(39618)

Question 1182088: Identify a pattern in the given list of numbers. Then use this pattern to find the next number. 1/7, 1/13, 1/19, 1/25, 1/31,
Click here to see answer by ikleyn(52788)

Question 1182221: Which letter should come after the series Y, X, V, S _?
1) L
2) O
3) P
Click here to see answer by Edwin McCravy(20056)

Question 1182212: Given f(x) = 7x + 4 , determine the value of f⁻¹(−3)

-17

3

-1

1
Click here to see answer by Edwin McCravy(20056)

Question 1182206: How many terms are there in the following sequence?
6, 18, 54, ...., 4374
Click here to see answer by Edwin McCravy(20056)

Question 1182230: What is the nth term for the following sequence:
2, 8, 18, 32, 50, 72, ...
Click here to see answer by Edwin McCravy(20056)

Question 1182229: What is the nth term for the following sequence:
10, 30, 60, 100, 150, 210, ...
Click here to see answer by greenestamps(13200)

Question 1182229: What is the nth term for the following sequence:
10, 30, 60, 100, 150, 210, ...
Click here to see answer by MathLover1(20850)

Question 1182229: What is the nth term for the following sequence:
10, 30, 60, 100, 150, 210, ...
Click here to see answer by Edwin McCravy(20056)

Question 1182228: What is the nth term for the following sequence:
0.1, 0.01, 0.001, 0.0001, ...
Click here to see answer by greenestamps(13200)

Question 1182210: If csc θ = 5 , what is the measure of the angle θ?
Question 8 options:
11.31 degrees

78.46 degrees

11.54 degrees

75 degrees
Click here to see answer by mananth(16946)

Question 1182207: A theatre has 40 rows of seats. Each row has 5 more seats than the previous row. If the first rows has 50 seats, the manager wants to know how many seat are there in the theatre.
This is an example of ....
Arithmetic Sequence
Geometric Series
Arithmetic Series
Geometric Sequence
Click here to see answer by mananth(16946)

Question 1182209: If θ is in quadrant 2, what angle θ would satisfy the equation sinθ = 12?
30 degrees

150 degrees

135 degrees

45 degrees
Click here to see answer by Theo(13342)

Question 1182211: Write the function y = 3^2x in the form y = dx

y = (1/3)^x
y = 9^x
y = 6^x
y = 27^x

Click here to see answer by Boreal(15235)

Question 1182208: Which of the following statements is FALSE?

It is possible that for a parabola and a line to intersect exactly once.

The y-intercept of the quadratic function is always higher than the y-coordinate of the vertex.

If a quadratic function has no x-intercept, then its discriminant must be less than 0.

Assuming a parabola has 2 x-intercepts, then the vertex would be exactly halfway between them.
Click here to see answer by Boreal(15235)

Question 1182258: What number is X in this series: 101, 103, X, 115, 131?
Click here to see answer by Edwin McCravy(20056)

Question 1182541: If 7,m,n,189 are in gp, find m and n

Click here to see answer by ikleyn(52788)

Question 1182616: The first three terms of a GP are p-5,2p-6 and 4p-5.Determine:
1.The value of p.
2.The sum of the values.
Click here to see answer by greenestamps(13200)

Question 1182956: thee consecutive numbers add up to 2 5/6x.What are the least possible values that will make this true?

Click here to see answer by greenestamps(13200)

Question 1182985: What are the next three terms in the sequence 1,6,2,5,3.....
Click here to see answer by josgarithmetic(39618)

Question 1182985: What are the next three terms in the sequence 1,6,2,5,3.....
Click here to see answer by ikleyn(52788)

Question 1182985: What are the next three terms in the sequence 1,6,2,5,3.....
Click here to see answer by greenestamps(13200)

Question 1183013: You purchase 6 lbs bunch of celery and are able to fabricate 63 oz of diced celery from the bunch.
What yield percent did you achieve
Click here to see answer by josgarithmetic(39618)

Question 1183012: If 1000 grams of whole Kalamata olives yield 29.4 oz of pitted olives,
what is your yield percent?
Click here to see answer by josgarithmetic(39618)

Question 1183011: Ten large fryer chickens weigh 31 #’s. If you ended up with 14 #s and 2 oz. of clean meat
what is your yield percent?
Click here to see answer by josgarithmetic(39618)

Question 1183173: Hello this is a mathematical induction prove question I need help with.

1. Show that, for every positive integer n:
1 + 2 + 2^2 + 2^3 + … + 2^(n-1) = 2^n - 1
Click here to see answer by Edwin McCravy(20056)

Question 1183206: What is the next term in the sequence
44/36, 251/216, 1393/1296, 8051/7776
And why?
Click here to see answer by ikleyn(52788)

Question 1183221: Hello, this is a mathematical induction question i had a hard time to prove
Show that, for every positive integer n:
a 1^2 + 3^2 + 5^2 + … + (2n − 1)^2 = (n(4n^2 - 1))/3
Click here to see answer by math_helper(2461)

Question 1183248: 5th term of an A.P is 9 and the 8th term is 27 find the 6th term and common difference only
Click here to see answer by ikleyn(52788)

Question 1183496: Complete the series
2,7,22,67,202,_,_
Click here to see answer by ikleyn(52788)

Question 1183495: What comes next in series
5,13,11,16,16,20,20,25,23,_,_
Click here to see answer by ikleyn(52788)

Question 1183495: What comes next in series
5,13,11,16,16,20,20,25,23,_,_
Click here to see answer by greenestamps(13200)

Question 1183541: The Knave of Hearts stole some tarts. He ate half of them, and half a tart more.
The Knave of Diamonds ate half of what was left, and half a tart more.
Then the Knave of Clubs ate half of what remained, and half a tart more.
This left just one tart for the Knave of Spades.
How many tarts did the Knave of Hearts steal?
Click here to see answer by ikleyn(52788)

Question 1183540: I start at square "1", and have to finish at square "7", moving at each step to a higher numbered adjacent square. How many possible routes are there?
Click here to see answer by math_helper(2461)

Question 1183560: Does the series
(1/√(n^2+1^2) + 2/√(n^2+2^2) +...+(n-1)/√(n^2+(n-1)^2)+ n/√(n^2+n^2))/n
converge as n goes to infinity? If it does, what is the sum?
Click here to see answer by ikleyn(52788)

Question 1183578: A geometric progression has a third term equal to 48 and fifth term equal to 768.
a. Find the possible values of the common ratio.
b. Find the sum of the first seven terms of the geometric
progression, taking the positive value of the common ratio.

Click here to see answer by robertb(5830)

Question 1183577: , find the Domain and the Range of the following funcions.
a. f(x) = 2/(5x +6)
b. f(x) = 1/√(2x -3)
c. f (x) = 1/(x^2-2x -3)

Click here to see answer by MathLover1(20850)

Question 1183580: Let f\left(x\right)=\frac{5}{2}x^2-e^x . Find the value of x for which the second derivative f^{\:ii}\left(x\right) equals zero.
Click here to see answer by MathLover1(20850)

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