Tutors Answer Your Questions about Sequences-and-series (FREE)
Question 1196746: As the track team manager, Nicole passes out water during practice. Each cup holds 4 ounces.
Nicole brought a water cooler with 128 ounces of cold water.
a) Identify the first term and the common difference. Write this sequence in recursive form and
list the first four terms._________________________________________________________
b) Write the function in explicit form that represents this sequence. _______________________
c) How much water is left after filling 16 cups of water? _______________________________
Click here to see answer by ikleyn(52787)   |
Question 1196812: A lab has a sample of ore containing 500 mg of radioactive material. The radioactive material has a half-life of one day, so it takes one day for half the atoms in the substance to decay.
A. Is this a geometric or arithmetic sequence?
B. Does it make a difference if you calculate the half-life at the beginning or end of the day? Explain.
C. What formula can you use to find the radioactive material in the sample at the beginning of the 7th day?
Click here to see answer by josgarithmetic(39617) |
Question 1196812: A lab has a sample of ore containing 500 mg of radioactive material. The radioactive material has a half-life of one day, so it takes one day for half the atoms in the substance to decay.
A. Is this a geometric or arithmetic sequence?
B. Does it make a difference if you calculate the half-life at the beginning or end of the day? Explain.
C. What formula can you use to find the radioactive material in the sample at the beginning of the 7th day?
Click here to see answer by ikleyn(52787) |
Question 1196812: A lab has a sample of ore containing 500 mg of radioactive material. The radioactive material has a half-life of one day, so it takes one day for half the atoms in the substance to decay.
A. Is this a geometric or arithmetic sequence?
B. Does it make a difference if you calculate the half-life at the beginning or end of the day? Explain.
C. What formula can you use to find the radioactive material in the sample at the beginning of the 7th day?
Click here to see answer by greenestamps(13200)  |
Question 1197121: Question: Use the 20 sequences below to derive general formulae for t4 through to t12 for any other sequence in the same pattern given t1, t2 and t3. All the 20 sequences follow the same pattern.
tn is defined as: 0 > tn ≤ 2048
t1 t2 t3 t4 t5 t6 t7 t8 t9 t10 t11 t12
Sequence 1 1188 861 1608 205 788 370 2040 1907 411 143 276 328
Sequence 2 302 1667 615 238 51 510 2044 40 205 293 533 1337
Sequence 3 197 1725 1866 1158 1536 1905 723 1336 412 1554 1463 924
Sequence 4 101 352 262 1683 22 644 346 1843 1838 577 1946 1635
Sequence 5 424 1586 1210 1469 563 610 1424 69 173 638 574 1217
Sequence 6 1263 1030 688 748 2005 1554 430 175 417 510 1747 1482
Sequence 7 1979 156 1338 1004 1433 672 555 1451 1703 452 1171 815
Sequence 8 1179 98 1279 601 1224 446 905 549 1972 651 1161 1261
Sequence 9 1157 1326 1655 380 529 1477 537 932 509 1511 1785 893
Sequence 10 1160 1152 813 1064 1171 48 1894 322 1926 1074 1857 755
Sequence 11 1130 1746 1009 1609 752 6 713 1277 1253 479 1006 308
Sequence 12 116 1647 1944 1156 2016 2028 853 1561 1967 760 1040 1712
Sequence 13 208 699 942 1171 360 1701 327 856 330 14 1844 686
Sequence 14 886 8 1928 748 1128 246 286 502 172 1825 1083 708
Sequence 15 1719 2005 419 1613 1095 1926 828 227 1757 1485 782 1488
Sequence 16 1482 1305 1068 893 1018 1732 1328 1246 1305 617 1178 1654
Sequence 17 1529 363 786 624 1476 1242 547 1453 41 56 1285 1633
Sequence 18 1832 892 541 972 1208 1287 1208 1825 1144 1213 704 1231
Sequence 19 1772 1434 1208 1829 556 1047 1205 173 1225 391 503 1209
Sequence 20 1273 376 1431 1545 36 1869 1255 386 865 472 154 36
Click here to see answer by greenestamps(13200) |
Question 1197635: 1st question:
If the sum of the first two terms of an arithmetic sequence equals the sum of the first three terms,find the sum of the first five terms.
2nd question:
the terms a,m,n,b form an arithmetic sequence.Express m and n in terms of a and b.(The terms m and n are arithmetic means of the terms a and b.)
Method I 've tried: d=(b-a)/3
3rd question:
Is y,x+2y,2x+3y....an arithmetic sequence?If it is,find the sum of the first 100 terma.
Method I 've tried:yes,because d=a2-a1=x+2y-y=x+y a3-a2=(2x+3y)-(x+2y)=x+y ,
but i do not know how to count the sum.
4th question:
A bank loan of $8000 is repaid in annual payments of $1000plus 10% interest on the unpaid balance.What is the total amount of interest paid?
5th question:
In preparing a bid for constructing a new building,a contractor determines that the foundation and basement will cost $605000 and the first floor will cost $360000.Each floor above the first will cost $15000 more than the one below it.How much will the building cost if it is to be 18 floors high?
Thank you.
Click here to see answer by greenestamps(13200) |
Question 1197651: The tangent of the proper banking angle θ of the road for a car
making a turn is directly proportional to the square of the car’s
velocity v and inversely proportional to the radius r of the turn.
7.75° is the proper banking angle for a car travelling at 20.0 m/s
around a turn of radius 300m.What is the proper banking angle
for a car travelling at 30.0 m/s around a turn of radius 250 m?
Thank you
Click here to see answer by Edwin McCravy(20056)  |
Question 1197648: In preparing a bid for constructing a new building,a contractor determines that the foundation and basement will cost $605000 and the first floor will cost $360000.Each floor above the first will cost $15000 more than the one below it.How much will the building cost if it is to be 18 floors high?
Thank you.
Click here to see answer by ewatrrr(24785)  |
Question 1197648: In preparing a bid for constructing a new building,a contractor determines that the foundation and basement will cost $605000 and the first floor will cost $360000.Each floor above the first will cost $15000 more than the one below it.How much will the building cost if it is to be 18 floors high?
Thank you.
Click here to see answer by MathTherapy(10552)  |
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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
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