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 1085356: the first numbers p-1,2p-2 and 3p-1 are the first three terms of a Go where p>0 find
(i) the value of p
(ii)the first term
(iii) the sum to infinity
Click here to see answer by htmentor(1343)

Question 1085363: 1) Find the explicit formula that produces the given sequence. 2,-6,18,-54,...
A. an=2(-3)^n-1
B. an=-2(-3)^n-1
C. an=3(-2)^n
D. an=-3(-2)^n-1
2) For the missing term in the geometric sequence, find the possible values: 16,?, 1/9,...
A. � 4/3
B. � 1/3
C. � 145/18
D. � 2/3
3. What is the 22nd term in the arithmetic sequence in which a4 is 73 and a10 is -11?
4) Write a possible function rule for the following sequence. -26,-33,-40,-47,54,...
5) Find the 12th term of the Fibonacci sequence: 1,1,2,3,5,8,13,...
6) Use the explicit formula an=(-1)^n(13n-6), to find the first five terms of the sequence.
7) What is the 9th term in the geometric sequence in which a3 is 36 and a6 is 972?
8) Find the first five terms of the sequence given the following recursive formula: a1=-3, a2=-7, and an=an-2an-1 for n_> 3.
9) Find the next two terms of the following sequence: 14,38,74,122,182,254,...
10) �What is the 17th term in the arithmetic sequence in which a6 is 101 and a9 is 83?

Click here to see answer by Boreal(15235)

Question 1085372: the first numbers p-1,2p-2 and 3p-1 are the first three terms of a Gp where p>0 find
(i) the sum to infinity
Click here to see answer by jim_thompson5910(35256)

Question 1085362: the first numbers p-1, 2p-2 and 3p-1 are the first three terms of a GP where p>0 find
(i) the value of p
Click here to see answer by rothauserc(4718)

Question 1085377: 1) Find the 11th term of this sequence. -10,20,-40,80,...
2) Find the next two terms of the following sequence: 14,38,74,122,182,254,...
3) Find the next two terms of the following sequence: -21,-9,11,39,...
4) What is the 9th term in the geometric sequence in which a3 is 36 and a6 is 972?

Click here to see answer by jim_thompson5910(35256)

Question 1085370: 1) Use the explicit formula an=(-1)^n(13n-6), to find the first five terms of the sequence.
2) Find the first five terms of the sequence given the following recursive formula: a1=-3, a2=-7, and an=an-2an-1 for n_> 3.
3) Find the 34th term of this sequence: -35,-49,-63,-77,...
4)�What is the 17th term in the arithmetic sequence in which a6 is 101 and a9 is 83?

Click here to see answer by ikleyn(52788)

Question 1085392: What is the sequence of 6 7 7.5 7.75
Click here to see answer by ikleyn(52788)

Question 1085391: What is the sequence of 6 7 7.5 7.75
Click here to see answer by ikleyn(52788)

Question 1085431: If 7 times the 7th term of an Ap is equal to 11 times its 11th term 'show that its 18th term is 0
Click here to see answer by ikleyn(52788)

Question 1085414: How many terms of the sequence { } � , 18 , 13 , 8 must be taken for the series to be 426?
Click here to see answer by ikleyn(52788)

Question 1085415: 1) Find the next two terms of the following sequence: -21,-9,11,39,...
2) Use the explicit formula, An=(-1)^n(13n-6), to find the first five terms of the sequence.
Click here to see answer by math_helper(2461)

Question 1085453: What is the first four terms of a sequence concerning decreasing odd integers beginning with 101
Click here to see answer by KMST(5328)

Question 1085484: first 25 terms 4,9,14,19,24
Click here to see answer by Fombitz(32388)

Question 1085483: 1) What is a possible expression for the series
-6 -12 -24 -48 -96 -192
2) What is a possible expression for the series
-7 +12 -17 +22 -27
Click here to see answer by Edwin McCravy(20056)

Question 1085482: 1) Evaluate the series
7
Σ K
k=1
A. 19
B. 23
C. 28
D. 49
2) Evaluate the series
12
Σ k^2
k=1
A. 78
B. 213
C. 497
D. 650
Click here to see answer by Edwin McCravy(20056)

Question 1085497: 1) Evaluate the series
5
Σ (3)(1/2)^k
k=1
A. 93/32
B. 45/16
C. 23/8
D. 11/4
2) Evaluate the partial sum
20
Σ (26+4k)
k=5
A. 986
B. 1060
C. 1140
D. 1216
3) Find the partial sum of the first 8 termsof the series
8+16+32+...
A. 1024
B. 2040
C. 2048
D. 2464
4) Evaluate the partial sum
9+12+15+...+51+54+57
A. 504
B. 561
C. 621
D. 698
Click here to see answer by Boreal(15235)

Question 1085527: 1) Find the sum of the series.
9
Σ k^2
k=1
2) Find the sum of the series.
6
Σ k^2
k=1
3) Determine which expressions can be used to show the following series in summation notation.
- 1/2 + - 1/4 +(- 1/6) + 1/8 +(- 1/10)
4) Evaluate.
s5 for 2500+2000+1600+1280+...
5) Evaluate.
7
Σ 1/16(4)^k+1
k=1
enter only the sum.
6) Find the sum of the first six terms of the geometric series in which a3 is -18 and a6 is 486.
7) Evaluate.
9
Σ 3k+4
k+1
enter only the sum.
8) Enter the explicit formula for the given series.
-4+(-9)+(-14)+(-19)+(-24)+(-29)=6 ?
Σ
k=1
9) Find the sum of the series.
32
Σ k
k=1
10) Evaluate.
s21 for 23+20+17+14+...
enter only the sum.
Click here to see answer by ikleyn(52788)

Question 1085576: Suppose that you are offered a job with a 6,600 salary a month with guaranteed increase of 50 every 6 months for 5 years. What will your salary be at the end of this period of time?

Click here to see answer by Fombitz(32388)

Question 1085602: 1) Evaluate.
s21 for 23+20+17+14+...
enter only the sum.
2) Evaluate.
13
Σ 12k-62
k=3
3) Find the sum of the series.
13
Σ k
k=1
4) Find the sum of the series.
6
Σ k^2
k=1
5) Expand the series and evaluate.
7
Σ -3(2)^k-1
k=1
6) Expand the series and evaluate.
8
Σ (-1)^k(4k-5)
k=5
enter only the sum.
7) Evaluate.
s26 for -31+(-27)+(-23)+(-19)+...
enter only the sum.
8) Evaluate.
9
Σ 3k+4
k=1
enter only the sum.
9) Evaluate.
s5 for 2500+2000+1600+1280+...
10) Evaluate.
7
Σ 1/16(4)^k+1
k=1
enter only the sum.

Click here to see answer by ikleyn(52788)

Question 1085601: ) Find the sum of the series.
9
Σ k^2
k=1
2) Find the sum of the series.
6
Σ�k^2
k=1
3) Determine which expressions can be used to show the following series in summation notation.
- 1/2 + - 1/4 +(- 1/6) + 1/8 +(- 1/10)
4) Evaluate.�
s5 for 2500+2000+1600+1280+...
5) Evaluate.�
7
Σ 1/16(4)^k+1
k=1
enter only the sum.
6) Find the sum of the first six terms of the geometric series in which a3 is -18 and a6 is 486.
7) Evaluate.
9
Σ 3k+4
k+1
enter only the sum.
8) Enter the explicit formula for the given series.
-4+(-9)+(-14)+(-19)+(-24)+(-29)=6 ?
� � � � � � � � � � � � � � � � Σ �
� � � � � � � � � � � � � � �k=1
9) Find the sum of the series.
32
Σ k
k=1
10) Evaluate.�
s21 for 23+20+17+14+...
enter only the sum.
Click here to see answer by ikleyn(52788)

Question 1085662: the 3rd term of a linear sequence is twice the 1st term and the 8th term of the sequence is four more than the 6th term. find the first term of the arithmetic progression.
Click here to see answer by ikleyn(52788)

Question 1085661: the 3rd term of a linear sequence is twice the 1st term and the 8th term of the sequence is four more than the 6th term. find the first term of the arithmetic progression.
Click here to see answer by ikleyn(52788)

Question 1085711: -1,2,-4,8,-16
Click here to see answer by Fombitz(32388)

Question 1085728: If 2x+3y=11 and 2x-5y=3.what is the arithmetic mean of x and y?

Click here to see answer by Fombitz(32388)

Question 1085728: If 2x+3y=11 and 2x-5y=3.what is the arithmetic mean of x and y?

Click here to see answer by Alan3354(69443)

Question 1085751: Find the 7th term of the geomwtric progression if the 2nd term is -20 and the last term is 1,280
Click here to see answer by ikleyn(52788)

Question 1085358: 61st term of the sequence if a↓4=8 and a↓21=26?
73rd term of the sequence if a↓1=18 and a↓18=52?
Click here to see answer by Fombitz(32388)

Question 1085825: which term of the sequence 25,22,19,...is -14?

Click here to see answer by Cromlix(4381)

Question 1085884: What's the missing terms between 1/4 and -1/2. With a formula of
1
____________
An(n-1)d
While D=3/2
Click here to see answer by ikleyn(52788)

Question 1086007: find x so that x+2,4x and 6x+1 are terms of an arithmetic sequence
Click here to see answer by dkppathak(439)

Question 1085985: 6*11=66,89*101=8989,706*1001=706706 .. Next 2 series ??

Click here to see answer by Edwin McCravy(20056)

Question 1086032: The third term of a geometric sequence is 3 and the 6th term is 1/9? Find the first term.

Click here to see answer by Fombitz(32388)

Question 1086032: The third term of a geometric sequence is 3 and the 6th term is 1/9? Find the first term.

Click here to see answer by ikleyn(52788)

Question 1086032: The third term of a geometric sequence is 3 and the 6th term is 1/9? Find the first term.

Click here to see answer by MathTherapy(10552)

Question 1086081: What is missing number. You have 1, 4, 27, ?, 3125
Click here to see answer by Alan3354(69443)

Question 1086104: Identify the correct proof by induction or a counterexample to disprove the following statement. 1+3+5+...+(2n+1)=n(n+1)/2

Click here to see answer by Fombitz(32388)

Question 1086216: find the sum of the geometric sequence -1,4,-16,23

Click here to see answer by ikleyn(52788)

Question 1086266: In preparing for a marathon run in the spring, Joelle runs 5 miles in week 4 of training and 10 miles in week 14. Joelle's weekly increase in mileage follows an arithmetic sequence.
a) write the general term that relates the number of mile of the week number of training.
b) An official marathon is 26 mile long. In which week would Joelle run at least 26 miles?
c) What assumption is made in order to answer part b.? what are some reasons why this may not be a good assumption?
Click here to see answer by josmiceli(19441)

Question 1086346: How many times will a clock strike in one day if it strikes every hour, once at 1, twice at 2, thrice at 3,...?
Click here to see answer by Fombitz(32388)

Question 1086359: what is the summation notation of 1000,100,10,1,0.1,0.01

Click here to see answer by Edwin McCravy(20056)

Question 1086359: what is the summation notation of 1000,100,10,1,0.1,0.01

Click here to see answer by rothauserc(4718)

Question 1085710: 1) Expand the series and evaluate.
7
Σ -3(2)^k-1
k=1
enter only the sum.
2) Find the sum of the series.
13
Σ k
k=1
3) Expand the series and evaluate.
8
Σ (-1)^k(4k-5)
k=5
enter only the sum.
4) Find the sum of the first six terms of the geometric series in which a3 is -18 and a6 is 486.
5) Evaluate.�
s5 for 2500+2000+1600+1280+...
6) Evaluate.
13
Σ 12k-62
k=3
7) Evaluate.
8
Σ 6(-2)^k
k=1
enter only the sum.
8) Evaluate.
9
Σ �3k+4
k+1
enter only the sum.
9) Determine which expressions can be used to show the following series in summation notation.
- 1/2 + - 1/4 +(- 1/6) + 1/8 +(- 1/10)
10) Evaluate.�
s21 for 23+20+17+14+...
enter only the sum.
Click here to see answer by Alan3354(69443)

Question 1086447: the 3rd term of a Gp is 10 and the 6th term is 80.
find
1. the Gp
2. the nth term of the Gp hence
3. the 9th term

Click here to see answer by stanbon(75887)

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