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 1144875: What is the check digit (d) for the UPC bar code number 5-11320-36217-d?
A. 0
B. 7
C. 8
D. 9
Is D correct?
The question and the answer choices in the link here: https://prnt.sc/p48q0g
Click here to see answer by math_helper(2461)

Question 1144974: I need to find the next number in the following sequences:
7,16,8,27,9
And
2,7,26,101,400
And
7,21,8,72,9
Click here to see answer by Alan3354(69443)

Question 1145009: 2+3=10
8+4=96
7+2=63
6+5=66
9+5=
Click here to see answer by solver91311(24713)

Question 1144808: The M&M jar has a square base with a length and width of 7 cm and a height of 6.5 cm. What would be the most reasonable UPPER LIMIT for the number of M&M's in the jar of the choices below?
REMINDER: Rectangular Prism Volume = l · w · h
A. 100
B. 10,000
C. 100,000
D. 1,000,000

Is B correct?

The question and the answer choices in the link here: https://prnt.sc/p35p6h

Click here to see answer by solver91311(24713)

Question 1145059: I'm having trouble finding out what numbers come next in this sequence, (483052592)-(11204142566)-(6172453573)-( ? )
Click here to see answer by greenestamps(13330)

Question 1145059: I'm having trouble finding out what numbers come next in this sequence, (483052592)-(11204142566)-(6172453573)-( ? )
Click here to see answer by ikleyn(53751)

Question 1145059: I'm having trouble finding out what numbers come next in this sequence, (483052592)-(11204142566)-(6172453573)-( ? )
Click here to see answer by Alan3354(69443)

Question 1145132: a 10-quart container is filled with water.One quart of water is drained out and replaced with alcohol. After mixing a quart of the solution is drainec out and replaced with alcohol. This process is continued until 5 quarts of alvohol have been put into the container. The solution in the container is then what percent of alcohol.
Click here to see answer by greenestamps(13330)

Question 1145541: Suppose you drop a tennis ball from a height of 15ft. After the ball hits the floor, it rebounds to 85% of its previous height. How high will the ball rebound after its third bounce?
Click here to see answer by ikleyn(53751)

Question 1145696: The third term of an arithmetic sequence is -1 and the seventh term is -13; how would I find the explicit formula for this sequence, and what would a22 be?
Click here to see answer by math_helper(2461)

Question 1145763: hello
i have these sequence i need to find a missing number
5,5,20,13
3,4,6,12
20,4,4,16
7,5,11,8
what is the relation between them ?!
Click here to see answer by ikleyn(53751)

Question 1145804: -2, 3, -4, -5, -6, 7
Click here to see answer by ikleyn(53751)

Question 1146150: 3, -6, 12, 4, 20, ?
Click here to see answer by Boreal(15235)

Question 1146187: Give that
2/2,4/2,6/2--------
Fine the common difference and the 16th term of the arithmetic progression
Click here to see answer by richwmiller(17219)

Question 1146185: What is the missing number in this pattern 5, 6, _, 19, 44, 93, _?
Click here to see answer by Edwin McCravy(20077)

Question 1146195: The lengths of the sides of a right angles triangle form the terms of an
arithmetic sequence. If the hypotenuse is 15cm in length, what is the length of
the other two sides?
Click here to see answer by Edwin McCravy(20077)

Question 1146196: Find the sum of:
a) the first odd 'n' odd positive integers
b) the first 'n' even positive integers
c) the first 'n' positive integers and find 'n' if the sum is 210
Click here to see answer by Edwin McCravy(20077)

Question 1146198: The first term of an arithmetic sequence is 5. The ratio of the sum of the first four terms to the sum of the first ten terms is 8:35. Find the common difference.
Click here to see answer by Edwin McCravy(20077)

Question 1146197: For a potato race, a straight line is marked on the ground from a point A, and points B, C, D, ... are marked on the line so that AB=BC=CD=..=2m. A potato is placed at points B, C, D,...
A runner has to start from A and bring each potato back by a separate journey back to a basket at A. Find the number of potatoes so that the total distance run during the race will be 480m.
Click here to see answer by greenestamps(13330)

Question 1146193: The sum of the first nine terms of an arithmetic function is 81. if the sum of the first and third terms is zero, find the first term and the common difference.
It's an arithmetic sequence/ progress. Help?
Click here to see answer by greenestamps(13330)

Question 1146290: Find, without using tables of a calculator, the sum of 7 terms of log27 + log9 + log3 +...
Click here to see answer by greenestamps(13330)

Question 1146289: Find the sum of 10 terms of the series log3+log6+log12+... given that log3 = 0.47741 and log2+0.3010
Click here to see answer by greenestamps(13330)

Question 1146288: For the geometric sequence ,, ... (to infinity), show that the sequence , , ....(to infinity) is an arithmetic sequence.
Click here to see answer by greenestamps(13330)

Question 1146283: The sum of the first 8 terms of a geometrical series is 17 times the sum of its first 4 terms. Find the common ratio.
This is the equation I have come up with (a is first term, r is common ratio):

But I don't really know how to solve it.
Click here to see answer by greenestamps(13330)

Question 1146461: The number of different cars sold in some country rose from 204 in 1997 to 273 in 2007. Find the percent increase. Round to the nearest whole percent.
Click here to see answer by josgarithmetic(39792)

Question 1146477: Jenny puts aside $20 at the end of each month for 3 years. How much will she have then of the investment earns 8.2% p.a., paid monthly?
Click here to see answer by Theo(13342)

Question 1146551: According to the following sequence for first 997th terms, how many odd number(s) is / are there?
1, 2, 3, 6, 11, 20, 37, 68, …
Click here to see answer by greenestamps(13330)

Question 1146592: Please help me to solve this Find the 11th term of progression 4,8,16,..........
Click here to see answer by josgarithmetic(39792)

Question 1146635: A flight of stairs has 12 steps. David can go up for 2 step or 3 steps each time. How many way(s) is / are there for David to go up the stairs?
Click here to see answer by Edwin McCravy(20077)

Question 1146698: Find the missing number

3,____,7,_____,199,_____,14
Click here to see answer by richwmiller(17219)

Question 1146698: Find the missing number

3,____,7,_____,199,_____,14
Click here to see answer by greenestamps(13330)

Question 1146877: determine general rule of 36 18 12
Click here to see answer by ikleyn(53751)

Question 1146897: the nth term for -1,-4,-9,-16
the nth term for 16, 25, 36, 49

Click here to see answer by ikleyn(53751)

Question 1146981: The n^th term, tn of a series:5/6+19/36+65/216+....... is given by Tn=a(1/2)^n+b(1/3)^n: find the values of a and b

Click here to see answer by richwmiller(17219)

Question 1146981: The n^th term, tn of a series:5/6+19/36+65/216+....... is given by Tn=a(1/2)^n+b(1/3)^n: find the values of a and b

Click here to see answer by ikleyn(53751)

Question 1147115: 3, -6, 12, 4, 20
Click here to see answer by ikleyn(53751)

Question 1147115: 3, -6, 12, 4, 20
Click here to see answer by Alan3354(69443)

Question 1147208: 1, -4, 9, -16
Click here to see answer by Alan3354(69443)

Question 1147204: The sum of two numbers is 100 and their difference is 6.
What are the two numbers and what is the smaller number and larger number
Click here to see answer by Alan3354(69443)

Question 1147255: the 12th term of an A.P is -41. given that the first term is 3,find the 20th term
Click here to see answer by josgarithmetic(39792)

Question 1147255: the 12th term of an A.P is -41. given that the first term is 3,find the 20th term
Click here to see answer by ikleyn(53751)

Question 1147261: Find a formula that generates the following sequence 2,0,2,0,2,0
Click here to see answer by ikleyn(53751)

Question 1147331: 1,3,10,52,367, 4042
Find the next two numbers in the sequence
Click here to see answer by Edwin McCravy(20077)

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