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 1184396: Find the sum of the infinite series (1 + 2 + 3 + 4 + .... + r-1) divided by r! where r is from ?
[Note: Here r! means factorial of r]
Click here to see answer by ikleyn(53763)

Question 1184390: Find the sum of the series ?
[Note: Here _ means subscript]
Click here to see answer by ikleyn(53763)

Question 1184371: Insert the indicated number of arithmetic means given the first and last terms.
-5 and 60
indicated number [6]
Click here to see answer by MathLover1(20855)

Question 1184375: Insert the indicated number of arithmetic means given the first and the last term. show the solution
-5 and 60
indicated [6]
Click here to see answer by MathLover1(20855)

Question 1184375: Insert the indicated number of arithmetic means given the first and the last term. show the solution
-5 and 60
indicated [6]
Click here to see answer by MathTherapy(10809)

Question 1184375: Insert the indicated number of arithmetic means given the first and the last term. show the solution
-5 and 60
indicated [6]
Click here to see answer by robertb(5830)

Question 1184399: If a, b, c, p, q, r are positive real numbers such that a, b, c are in the geometric sequence and the condition is satisfied then which of the following is true:
A- p, q, r are in Geometric Sequence
B- p, q, r are in Arithmetic Sequence
C- p, q, r are in Harmonic Sequence
D- p^2, q^2, r^2 are in Geometric Sequence
E- p^2, q^2, r^2 are in Arithmetic Sequence
...
[NOTE: Here ^2 means power 2]
Click here to see answer by Edwin McCravy(20081)

Question 1184407: Conjecture a formula for the nth term of {an} if the first ten terms of this sequence are as follows.
a) 3, 11, 19,27,35,43,51,59,67, 75 c) 1,0,0, 1,0,0,0,0, 1,0
b) 5, 7, 11, 19, 35,67, 131,259,515, 1027 d) 1, 3,4, 7, 11, 18,29,47, 76, 123
Click here to see answer by greenestamps(13334)

Question 1184412: Find the indicated partial sum for the given sequence. Dhow the solution.
4,7,10,13,...,S10 or Sum of the first 10 terms
Click here to see answer by josgarithmetic(39799)

Question 1184411: Insert the indicated number of arithmetic means given the first and last terms. Show the solution
3 and 36
indicated [7]
Click here to see answer by MathLover1(20855)

Question 1184411: Insert the indicated number of arithmetic means given the first and last terms. Show the solution
3 and 36
indicated [7]
Click here to see answer by ikleyn(53763)

Question 1184413: Insert the indicated number of arithmetic means given the first and the last term. show the solution
3 and 36 indicated term [7]
Click here to see answer by MathLover1(20855)

Question 1184466: Find the sum of the series 1 + 1/3 + 1.3/3.6 + 1.3.5/3.6.9 + 1.3.5.7/3.6.9.12 + .... ?
[Note: Here . means product and / means division]
Click here to see answer by ikleyn(53763)

Question 1184511: Find the number of terms in the following sequences.
a. 5, 11, 17, ..., 83
b. 4, 8, 12, …., 40
Click here to see answer by josgarithmetic(39799)

Question 1184292: Find the sum of the infinite series 1/3 + 1x3/3x6 + 1x3x5/3x6x9 + 1x3x5x7/3x6x9x12?
[Note: Here / means division and x means product]
Click here to see answer by Edwin McCravy(20081)

Question 1184569: I have 3 phone numbers and I need logical sequence to made 4th phone number.
Click here to see answer by josgarithmetic(39799)

Question 1184569: I have 3 phone numbers and I need logical sequence to made 4th phone number.
Click here to see answer by ikleyn(53763)

Question 1184673: Please help me solve this question
the fifth, ninth and sixteenth term of a linear sequence(a.p) are consecutive terms of an exponential sequence(g.p)
(i) find the common difference of the linear sequence in terms of the first terms
(ii) show that the twenty-first,thirty-seventh and sixty-fifth terms of the linear sequence are consecutive terms of an exponential sequence whose common ratio is 7/4
Click here to see answer by greenestamps(13334)

Question 1184769: In a geometric series with first term,
a
and common ratio,
r
(where
r
is real and
r 1
), the sum of
the first 7 terms is 4 times the sum of the following 7 terms. Find the ratio of the sum of the first 21
terms to the sum of the first 14 terms.
Click here to see answer by greenestamps(13334)

Question 1184851: Insert four arithmetic means between 19 and -16
Click here to see answer by greenestamps(13334)

Question 1184893: Given two specific terms of geometric sequence, find the common ratio and first term. Show your solution
a2=4 ; a5=32
Click here to see answer by greenestamps(13334)

Question 1184894: Solve the problem.

1. Find the value of x so that x+1, 4x, 3x+5 form a geometric sequence
Click here to see answer by josgarithmetic(39799)

Question 1184896: Solve the problem.

The 2nd term of a geometric sequence is 6, and the 5th term is 162. Find the 7th term.
Click here to see answer by josgarithmetic(39799)

Question 1184898: Given two specific terms of geometric sequence, find the common ratio and first term. Show the solution
a2=3 ; a5=27
Click here to see answer by josgarithmetic(39799)

Question 1184934: what is the next term of
Click here to see answer by ikleyn(53763)

Question 1184937: The 2nd term of a geometric sequence is 6, and the 5th term is 162. Find the 7th term.
please help me to solve this step by step, I need to calculate it please use an easy to understand method T-T
Click here to see answer by josgarithmetic(39799)

Question 1184936: Given two specific terms of geometric sequence. Find the common ratio and first term. Show the solution.

a(2)=4 ; a(5)=32
please can you teach me the step by step because I really can't understand T-T
Click here to see answer by josgarithmetic(39799)

Question 1184972: Find the geometric mean between x and 1/x
Click here to see answer by ikleyn(53763)

Question 1184977: Find the value of x so that x+1, 4x, 3x+5 form a geometric sequence
Click here to see answer by josgarithmetic(39799)

Question 1185019: The nth term of a sequence is denoted by 3n(2n-1) find the
Sum of the first five terms
Click here to see answer by greenestamps(13334)

Question 1185044: -1,1,-1,1,1 nth formula
Click here to see answer by greenestamps(13334)

Question 1185085: What would be the next number in the sequence: 0, 1, 2, 3, 5, 8, 13, 18
? Why?
____________________________________________________________________
Click here to see answer by greenestamps(13334)

Question 1185106: In a distribution, the median score is also the ______________ .

Click here to see answer by Boreal(15235)

Question 1185115: a rubber ball is shot vertically to a height of 20ft and allowed to drop. each bounce is 80% as high as the previous bounce. what is the total distance the ball travels
Click here to see answer by Edwin McCravy(20081)

Question 1185225: Suppose that you plan on taking a summer job selling magazine subscriptions. The magazine company will pay you $1.25 for selling the first subscription. For each additional subscription sold, the magazine company will pay you 15 cents more than what was paid for the previous subscription. How much will you earn by selling 150 magazine subscriptions?
Click here to see answer by greenestamps(13334)

Question 1185228: A virus reproduces by dividing into two, and after a certain growth period, it dividing into two again. As the virus continue to divine in two. How many viruses will be in system starting with a single virus AFTER 10 division?
Click here to see answer by ikleyn(53763)

Question 1185231: Emma earns a $39,000 dollar salary in the first year of her career. Each year, she gets a 5% raise. How much does Emma earn in total in the first 11 years of her career? Round off your final answer to the nearest thousand.
Click here to see answer by ikleyn(53763)

Question 1185229: Sam has purchased a $30,000 car for his business. The car depreciates 30% every year. Depreciate means the value of the car goes down by that percent each year. What will be the value of the car after the 5th year? Note: The car is 0 year old when purchased so the first year is the second entry in the sequence.
Click here to see answer by ikleyn(53763)

Question 1185230: Allen is on the football team this year but he has poor time management skills. His mother told him that he is off the team if he fails anything in school. On his first math quiz he earned 90, then he earned an 86 and an 82 on his two quizzes. If his grades continue at this rate, what will his quiz grade be the 8th quiz? will he still be on the team?
Click here to see answer by josgarithmetic(39799)

Question 1185387: During a freefall a skydiver jumps 16 ft, 48 ft, and 60ft on the first, second and third respectively. If he continues to jump at this rate, how many feet
Click here to see answer by ikleyn(53763)

Question 1185483: Given the following, solve for the unknown quantity.

1. Given:S4=120,r=3;find a1.
2. Given:S5=496,r=1/2;find a1.
sn=sum of the number
r=common ratio
a1=first term
Click here to see answer by ikleyn(53763)

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, 11791..11835