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 325534: Missy made her annual income of RM25,710 in the fourth year and RM38,560 in the ninth year working in SIMEC Ltd. Assuming that her annual income behave like an arithmethic sequence:
a. How much was her annual income in the first year
Click here to see answer by info@email-tutors.com(9)

Question 325896: How do you find the 200th term of the sequence

Click here to see answer by Edwin McCravy(20056)

Question 326093: Can you help me find the Nth term of this arihmetic sequence?
4, 4+s, 4+2s, 4+3s
Click here to see answer by vksarvepalli(154)

Question 326095: A partial sum of an arithmetic sequence is given. Can you please help me find the sum?
5+10+15+...+75
Click here to see answer by Fombitz(32388)

Question 326166: Could you help me express this repeating decimal as a fraction?
0.04040404...
Click here to see answer by stanbon(75887)

Question 326174: Please help me find the third term of this sequence
an- 6n+5
Click here to see answer by Fombitz(32388)

Question 326170: Please help me write the following sum without using sigma notation
3
E- sigma notation (3 cube root k)
k=1
Click here to see answer by Fombitz(32388)

Question 326180: Please help me with this problem:
The 15th term of an arithmetic sequence is 74, and the common difference is 5. Find a formual for the nth term
Click here to see answer by stanbon(75887)

Question 326179: Please help me find the 20th term of this arithmetic sequence
-t, -t+5, -t+10, -t+15
Click here to see answer by Fombitz(32388)

Question 326177: Please help me find the second term of the sesquence:
an= (-1)^n / n^2
Click here to see answer by stanbon(75887)

Question 326190: Please help me find this sum:
15
E-sigma notation {1+(-1)^i}
i = 1
Click here to see answer by solver91311(24713)

Question 326182: Please help me with this:
Telephone poles are stored ina pile with 20 poles in the first layer, 19 in the second and so on. If there are 12 layers how many telephone poles does the pile contain?
Click here to see answer by scott8148(6628)

Question 326184: Please help me determine the 7th term of the geometric sequence
2, 4/3, 8/9, 16/27...
Click here to see answer by rfer(16322)

Question 326189: Please help me find the first three terms in this expansion:
(x+3y)^20
Click here to see answer by stanbon(75887)

Question 326188: Please help me use the binomial theorem to expand this expression
I know how to get the answer from the calculator, but I dont know how to get this expression into the calculator form.
Click here to see answer by Edwin McCravy(20056)

Question 326187: Please help me use Pascal's triangle to expand the expression (a + n)^6
Click here to see answer by Fombitz(32388)

Question 326186: Please help me solve this...
The first term of a geometric sequence is 12, and the second term is 3, find the 5th term.
Click here to see answer by Fombitz(32388)

Question 326423: An=3n-1
Click here to see answer by Fombitz(32388)

Question 326512: the sum of the 1st and 2nd term of a geometric progression is 10 while its sum to infinity is 18. find the fourth term
Click here to see answer by galactus(183)

Question 326766: There is a very famous sequence of numbers called Fibonacci Numbers. Here are the first eight: 1 1 2 3 5 8 13 21. What is the tenth Fibonacci number?
A.55
B.89
C.123
D.113
E.144

Click here to see answer by mananth(16946)

Question 327097: list all the two-digit numbers which leave a remainder of 6 and when 171 is divided by them
Click here to see answer by Fombitz(32388)

Question 291148: Find the 100th term and the nth term for each of the following sequences.
a) 1, 3, 5, 7, 9
b) 0, 50, 100, 150, 200
c) 3, 6, 12, 24, 48
d) 10, 100, 1,000, 10,000, 100,000 (write in scientific notation or mention how many 0�s are in the number)
e) 9, 13, 17, 21, 25, 29
f) 1, 8, 27, 64, 125

Click here to see answer by brooks(2)

Question 328453: find the sum of the series 5/13 + 55/(13)^2 + 555/(13)^3 + ...
Click here to see answer by galactus(183)

Question 328502: In the expansion of (1 + 1/6x) to the power n, n belongs to N, n>8 the coeffient of x to the power 7 and x to the power 8 are equal find n.
I have tried n(n-1)....(n-6) (1) to the power n-7 all over 7!
and n(n-1)....(n-7)(1) to the power n-8 all over 8!
1 = n-7 over 8
8 = n-7
n=15

Click here to see answer by Fombitz(32388)

Question 328501: I need to find the sum of the first n terms of the g.p. 4,12,36... and find the least value of n for which the sum is greater than 500,000.
I know that
r = 3 and a = 4 but then I am stuck.
Click here to see answer by josmiceli(19441)

Question 328497: In an arithmetric progression the sum of the first 8 terms is 54 and the 6th term is 3 times the second term. I need to find the first term and the sum of the first 20 terms.
I have been over this question so many times any help would be gratefull thanks.
Click here to see answer by scott8148(6628)

Question 328689: I need to show that 11! has a remainder of 1 when divided by 13 without the use of a calculator any ideas please.
Click here to see answer by galactus(183)

Question 328651: r=1/3 A1=4
Click here to see answer by Fombitz(32388)

Question 328803: If n is any integer, then 2n is an even integer and 2n + 1 is an odd integer. Consecutive integers are one right after each other. If n is any integer, then n + 1 would be the next integer and n + 2 would be the next integer and so on.
a.) Find two consecutive odd integers such that the sum of their reciprocals is the fraction 12 over 35

Click here to see answer by Fombitz(32388)

Question 329452: If I adding odd numbers from -7 to 101. Can you show me how to get the sum the quickest way possible?
Click here to see answer by stanbon(75887)

Question 329961: $38,250 + $80,000+ $22,250-0.25($80,000 + $38,250) =
Click here to see answer by checkley77(12844)

Question 330097: The third term of a geometric sequence is 32 and the fifth term is 512. What is the eighth term of the sequence?
Click here to see answer by Fombitz(32388)

Question 330195: Find three consecutive multiples of 5 such that the sum of the squares of the first two is 125 greater than the square of the third.
This is what I did, but it's wrong.

25N + 25N + 25 - 125 = 25N + 100
25N - 100 = 100
25N = 200
N = 8
Click here to see answer by Alan3354(69443)

Question 331346: The third and fourth terms of a sequence are 26 and 40. If the second differences are a constant 4, what are the first five terms of the sequence?

Click here to see answer by Edwin McCravy(20056)

Question 331281: If a geometric sequence starts with a first term of 2 and grows exponentially by a factor of 3, what is the sum of the 4th and 5th terms?
(a) 216 (b) 162 (c) 108 (d) 54 (e) 27
Click here to see answer by Edwin McCravy(20056)

Question 331422: how do I solve this problem
"find the 8th term in the expansion of (2c-3d)^14
Click here to see answer by Edwin McCravy(20056)

Question 331661: the summation of -3 times 5/6 to i - 1 power as i goes from 1 to 5
Click here to see answer by solver91311(24713)

Question 331955: Scientific notation is most effective when used with a. very small numbers, b. Very large numbers, c. Imaginary numbers or d. very large and very small numbers.
Click here to see answer by Alan3354(69443)

Question 332819: infinity
E 6(.02)^i
i=1
Click here to see answer by galactus(183)

Question 332996: if interest is compounded annually, how long does it take $1,000 to double at 8% interest?
Click here to see answer by mananth(16946)

Question 334426: Can you show me how to write in decimal notation 2.34 x 10^6 Thank you
Click here to see answer by Alan3354(69443)

Question 334467: please provide the next number is sequence 4, 32, 2048
thank you in advance
Click here to see answer by Fombitz(32388)

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