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 1087239: What is the general term of the arithmetic sequence: -1,-1/4,-1/9,-1/16.......
Click here to see answer by MathLover1(20850)

Question 1087322: Find the first, fourth, and eighth terms of the sequence:
A(n)=-2*2^2-1
possible answers:
-8; -64;-1,024
-2; -16;-256
1;-64;-16,384
-4;-32;-512
Click here to see answer by MathLover1(20850)

Question 1087283: Find a 3 digit no. such that its digits are in geometric progression and digits of number obtained from it by subtracting 400 form an AP.?
Click here to see answer by ikleyn(52788)

Question 1087339: Solve for b.
2b + b + 5b � 7b = 15
Click here to see answer by josgarithmetic(39618)

Question 1087344: insert 2 arithmetic means between 3/5 and 5/3

Click here to see answer by MathLover1(20850)

Question 1087368: A national park has series of huts along one of its mountain trails. The first hut is 5km from the start of the trail, the second is 8km from the start and the third is 11km and so on...
A. How far from the start of the trail is the sixth hut?
B. How far is it from the sixth hut to the twelfth hut?
Click here to see answer by jim_thompson5910(35256)

Question 1087441: 63,9,27,3,16,14,84,12,36,...
What next?
Click here to see answer by Edwin McCravy(20056)

Question 1087534: what is the 8th term of 64,16,4,1
Click here to see answer by Tatiana_Stebko(1539)

Question 1087533: a1=15, a2=3, a7=?
Click here to see answer by Fombitz(32388)

Question 1087532: a1=5, r=3, a12=?
Click here to see answer by ikleyn(52788)

Question 1087532: a1=5, r=3, a12=?
Click here to see answer by MathLover1(20850)

Question 1087532: a1=5, r=3, a12=?
Click here to see answer by Fombitz(32388)

Question 1087575: Find the 3rd term of (7x+2y)^15
Click here to see answer by ikleyn(52788)

Question 1087576: Use the binomial theorem to expand (x+y)^6
Click here to see answer by ikleyn(52788)

Question 1087631: A man was habitual of wasting the money datewise for ex If date is 18 so he was spending $18 so what's the 5sequential dates whose total is 63 .find the dates
Click here to see answer by Edwin McCravy(20056)

Question 1087685: If the sum of the geometric sequence 2,6,18,54,162,... is 19682. In what terms are added to be needed?
Click here to see answer by ikleyn(52788)

Question 1087787: Let An be the n-th term of the following sequence
1/1, 1/4, 3/4, 1/9, 3/9, 5/9, 1/16, 3/16, 5/16, 7/16, 1/25...

Find the maximal n satisfying An >= 1/10.
I have no idea
The answer is 190

Click here to see answer by ikleyn(52788)

Question 1087797: A car depreciates in value at the rate of 5% every year. If a car costs 650,000 pesos now, what is its value on the 5th year?

Click here to see answer by jorel1380(3719)

Question 1087827: Select the option for ? that continues the pattern
7, 16, 8, 27, 9, ?
Click here to see answer by Edwin McCravy(20056)

Question 1087869: ab`c+ab+abc`d
Click here to see answer by Alan3354(69443)

Question 1087945: Find the first term & commmon difference if : 4th term is 11; 10th term is 29
Click here to see answer by ikleyn(52788)

Question 1087946: Find the first term & common difference if:
10th term is 35;15th terms is 55
2nd term is 56 ;12th term is 16
8th term is 4;18th term is -96
7th term is -25;2th term is -45
Click here to see answer by ikleyn(52788)

Question 1087972: Originally, Holly and Saoirse were the only employees in a firm. Holly ears 80,000 euros and the Saoirse earns 10,000 euros. As the firm expands two new positions are created with a pay scale between the two existing staff such that all four yearly salaries will be in geometric sequence. Find the monthly salaries of the two new employees. Show your calculations.
Click here to see answer by ikleyn(52788)

Question 1088003: Wants 7 th term and general expression for
4,19,58,133,256
Click here to see answer by rothauserc(4718)

Question 1088057: 1,1,2,3,5,8,?,21
What comes in the question mark space
Click here to see answer by josgarithmetic(39618)

Question 1088057: 1,1,2,3,5,8,?,21
What comes in the question mark space
Click here to see answer by ikleyn(52788)

Question 1088058: What comes in the question mark space?
2,9,30,93,?,849
Click here to see answer by ikleyn(52788)

Question 1088060: 3,3,6,18,?,360,2160
What comes in the question mark?
Click here to see answer by ikleyn(52788)

Question 1088059: 16,64,25,27,36,?,49,1
What comes in the question mark?
Click here to see answer by Edwin McCravy(20056)

Question 1088149: Dear Tutor, please help me.
Let A = {(1,2), (2,4), (3,6), (1,4), (2,8), (3,12), (1,3), (2,6), (3,4)}. Let r by the relation defined by (a,b)r(c,d) if and only if ad = bc.

(a) The relation r is reflexive. Give one example of two elements of r (not A ) that demonstrate the reflexive property. Show clearly that the elements you choose satisfy the reflexive property.
(b) The relation r is symmetric. Give one example of two elements of r (not A) that demonstrate the symmetric property. Show clearly that the elements you choose satisfy the symmetric property.
(c) The relation r is transitive. Give one example of three elements of r (not A) that demonstrate the transitive property. Show clearly that the elements you choose satisfy the transitive property.
(d) As r is reflexive, symmetric and transitive it follows that r is an equivalence relation. What are the equivalence classes of r ?
Thank you.
Click here to see answer by ikleyn(52788)

Question 1088206: 2k+1,5k-3,7k-2 find the value of k and 17th terms
Click here to see answer by rothauserc(4718)

Question 1088206: 2k+1,5k-3,7k-2 find the value of k and 17th terms
Click here to see answer by Edwin McCravy(20056)

Question 1088284: iF 21 = 42, 39 = 618, 17 = 214, 45 = ? PEOPLE ARE SAYING 810 BUT I DON'T GET HOW THEY ARRIVED AT IT. pLEASE HELP ME. tHANK YOU.
Click here to see answer by Tatiana_Stebko(1539)

Question 1088240: find the sum of all the integers between 100 and 500 and are divisble by 8
(B) the first 3terms in a G.P are 144,x and 64 where x is a positive find the sum of infinity of a progression
Click here to see answer by Edwin McCravy(20056)

Question 1088296: The 4th term of an AP is zero. Prove that the 25th term of the A.P. is three times the 11th term.
Click here to see answer by Fombitz(32388)

Question 1088365: __ + __ + __ = 30
Fill the blanks using (1,3,5,7,9,11,13,15)
Click here to see answer by ikleyn(52788)

Question 1088365: __ + __ + __ = 30
Fill the blanks using (1,3,5,7,9,11,13,15)
Click here to see answer by MathTherapy(10552)

Question 1088219: Select the option for "?" that continues the pattern in each question.
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)

Question 1088223: The sum of the first q term of an A.p. 162.the ratio of 6th term and it's 13 the term is 1:2.find the 1st and 15th term.of A.P. this mathematics why q assuming 9.please answer

Click here to see answer by Boreal(15235)

Question 1088473: a*b=62217, c*d=52983, b*c=56637, d*a=58203, b*d=72819, c*a=45269 solve this a+b+c+d=? , A*B*C*D=? , A=?, B=?, C=?,D=?
Click here to see answer by MathLover1(20850)

Question 1088473: a*b=62217, c*d=52983, b*c=56637, d*a=58203, b*d=72819, c*a=45269 solve this a+b+c+d=? , A*B*C*D=? , A=?, B=?, C=?,D=?
Click here to see answer by ikleyn(52788)

Question 1088442: 2,10,25,?,84,132
Click here to see answer by ikleyn(52788)

Question 1088543: Given an arithmetic sequence -11,2,15..., if T(m) is the first term that exceeds 200, find the value of m.
Click here to see answer by rothauserc(4718)

Question 1088538: 3,8,13,18,...,998

Click here to see answer by ikleyn(52788)

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