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 1037415: What is the similarity between 85, 17, 19, 4, 2?
Click here to see answer by Edwin McCravy(20056)

Question 1037487: In a geometric sequence of real numbers, the sum of the first two terms is 11 and the sum of the first six terms is 77. The sum of the first four terms is:
Click here to see answer by ikleyn(52787)

Question 1037649: Paula used synthetic division to divide the polynomial f(x) by x + 1, as shown:

-1|-2 -5 4 2 3 |___________ -2 -3 7

What is the value of f(-1)?

Click here to see answer by Edwin McCravy(20056)

Question 1037692: Paula used synthetic division to divide the polynomial f(x) by x + 1, as shown:
-1| -2 -5 4
2 3
|___________
-2 -3 7
What is the value of f(-1)?

If anyone can help me again thanks! (The numbers and everything aren't lining up correctly hopefully you'll know what i'm talking about)
Click here to see answer by josgarithmetic(39617)

Question 1037700: Find the sum of the first 25 terms of an AP whose nth term is ...
Click here to see answer by stanbon(75887)

Question 1037738: 1, 5, 10, __, 50, 100
Click here to see answer by solver91311(24713)

Question 1037823: three numbers form a geometric progression if we double the middle number we get an arithematic progression the common ratio of the geomatric progression is ?

Click here to see answer by stanbon(75887)

Question 1037724: For the following arithmetic sequence, find the sum of the terms from a13
to a21 inclusive.
7,10,13,16
The sum of the terms from a13 to a21 inclusive is:

Click here to see answer by Edwin McCravy(20056)

Question 1037878: 1, 2, 8, 48, 384
what comes next?
Click here to see answer by Boreal(15235)

Question 1037774: First question:
A geometric sequence consisting of four terms in which ratio is positive, the sum of the first two terms is 8 and the sum of the last two terms is 72. Find the sequence
Second question:
Find three numbers in a geometric sequence whose sum is 42 and whose product is 512
Click here to see answer by robertb(5830)

Question 1037949: The sequence of the numbers are: -15, -11, -7, -3, what is the formula for this pattern? What would be the 25th number in this sequence?
Click here to see answer by josgarithmetic(39617)

Question 1037881: Write an explicit formula for the sequence determined by each recursion formula.
1)t₁ = 1; tn = tn-1 -4
2)t₁ = 20; tn = (-1/2)tn-1
Thank you.
Click here to see answer by KMST(5328)

Question 1038038: What is the next number in this pattern. 3 -6 12 4 20
Next number in this pattern 7 16 8 27 9
Next number in this pattern. 2 7 26 101 400
Next number in this pattern. 7 21 8 72 9
Click here to see answer by Edwin McCravy(20056)

Question 1038215: Please help me this equation
1.An=n +4
Click here to see answer by Alan3354(69443)

Question 1038474: What should be the next number in the following series? 1 2 8 48 384 _
Click here to see answer by addingup(3677)

Question 1038473: What should be the next number in the following series? 100 96 104 88 120 56 _
Click here to see answer by addingup(3677)

Question 1038527: 8, 14, 26, 54, 162 ????
Click here to see answer by Edwin McCravy(20056)

Question 1038575: 89250 17850 7140 1428 ? 114.24 what should come in ? Mark.pliz give me the answer with detail
Click here to see answer by robertb(5830)

Question 1038485: An=(2An-1-5)^2 / 3
find A8
Thank you ! :)
Click here to see answer by Fombitz(32388)

Question 1038712: What should be the next number in the following series? 100 96 104 88 120 56 _ ?_
Click here to see answer by Fombitz(32388)

Question 1038711: What should be the next number in the following series? 1 2 8 48 384 _ ?_
Click here to see answer by rothauserc(4718)

Question 1038745: The second and fifth terms of an arithmetic sequence are 17 and 19, respectively. What is the eighth term?

Click here to see answer by Theo(13342)

Question 1038698: Please help me with this
1, 4, 9, 16,
2, -6, 18, 54
8, 4, 2, 1,
X, x+y, x+ 2y
2, 5, 10, 17
Click here to see answer by ikleyn(52787)

Question 1038758: Find the sum of the first 50 terms of the arithmetic sequence -11, -4, 3, 10....
Click here to see answer by ikleyn(52787)

Question 1038756: Find the sum of the first 50 terms of the arithmetic sequence
-11, -4, 3, 10.....
Click here to see answer by ikleyn(52787)

Question 1038782: what is the similarity between 85,17,19,4 and 2?
Click here to see answer by Alan3354(69443)

Question 1038796: Please help me finding the arithmetic mean of this given numbers. �16 and �8 im finding 3 numbers between them to solve it. Thanks
Click here to see answer by solver91311(24713)

Question 1038755: 1,3,8,26,106,?
Click here to see answer by jorel555(1290)

Question 1038854: 10, -5, 25, -35, 85, -155,
Click here to see answer by ikleyn(52787)

Question 1038853: the first term of an arithmetic sequence (AS) is 7 and the common difference is 3 find the 20th term.
Click here to see answer by ikleyn(52787)

Question 1038899: Give the arithmetic sequence of 5 terms if the first term is 8 and the last term is 100.
Click here to see answer by josgarithmetic(39617)

Question 1038899: Give the arithmetic sequence of 5 terms if the first term is 8 and the last term is 100.
Click here to see answer by MathTherapy(10552)

Question 1038930: The sum of the first 10 terms of an arithmetic sequence is 530. What is the first term if the last term is 80? What is the common difference?

Click here to see answer by ikleyn(52787)

Question 1038974: Find the second term of an arithmetic sequence is 10 and the 5th term is 25. Find the first term and the common difference

Click here to see answer by ikleyn(52787)

Question 1038972: For a given geometric sequence, the 5th term, a5, is equal to 11/256, and the 10th term, a10, is equal to −44. Find the value of the 12th term, a12. If applicable, write your answer as a fraction.
Click here to see answer by ikleyn(52787)

Question 1039008: 1 2 5 29 31 33 ? 39 41 43 45

Click here to see answer by ikleyn(52787)

Question 1039011: 1 2 5 29 31 33 ? 39 41 43 45
Click here to see answer by ikleyn(52787)

Question 1039007: 2,1,1,3,11,5,41,?,353,725,2681,14201...
Click here to see answer by ikleyn(52787)

Question 1039006: 2,1,1,3,11,5,41,?,353,725,2681,14201...
Click here to see answer by ikleyn(52787)

Question 1039099: the percentage of sexual harassment charges filed by men has increased approximately linearly from 9.8% in 1995 to 16.5 percent in 2002. Let P be the percentage of Sexual Harassment charges filed by men at T years.
Find an equation of a linear model to describe the data.___
Click here to see answer by stanbon(75887)

Question 1039297: Hello! So I'm having a hard time on this problem. I know it involves some stuff from Algebra I, but my mind's not in the right place today. So here goes: Find 3 numbers that have a sum of 30 and a product of 910, and form an arithmetic sequence. Thanks!
Click here to see answer by josgarithmetic(39617)

Question 1039312: Find the value of k and 17th term of each of the following arithmetic sequence.
1. 7k+2, 4k+3, 2k+6
2. 2k+1, 5k-3, 7k-2
3. 7k+2, 5k+4, 4k-5
4. 3k+7, 2k-5, 6k-2
5. 2k-7, 6k-2, 8k+4
Please help me, i can't answer this and i feel awful about it.
Please teach me how to do one, explain the process. Advance thank you tutors.
Click here to see answer by rothauserc(4718)

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