Kann mir jemand den Ansatz zu dieser Aufgaben zum begrentzen Wachstum liefern?

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1 Antwort

Sequenz --> 500, 600, 690, 771

Differenzen -->

100

90

81

Was einem auffällt, ist, dass die Differenzänderung immer 10 % vom vorherigen Wert beträgt !

Das kann man fortsetzen -->

81 * 0.9 = 72.9

72.9 * 0.9 = 65.61

65.61 * 0.9 = 59.049

und so weiter

Als Daten ergeben sich dann -->

0 --> 500
5 --> 600
10 --> 690
15 --> 771
20 --> 843.9
25 --> 909.51
30 --> 968.559
35 --> 1021.7031
40 --> 1069.53279
45 --> 1112.579511
50 --> 1151.3215599
55 --> 1186.18940391
60 --> 1217.570463519
65 --> 1245.8134171671
70 --> 1271.23207545039
75 --> 1294.108867905351
80 --> 1314.697981114816
85 --> 1333.228183003334
90 --> 1349.905364703001
95 --> 1364.914828232701
100 --> 1378.423345409431
105 --> 1390.581010868488
110 --> 1401.52290978164
115 --> 1411.370618803475
120 --> 1420.233556923127
125 --> 1428.210201230815
130 --> 1435.389181107733
135 --> 1441.85026299696
140 --> 1447.665236697264
145 --> 1452.898713027537
150 --> 1457.608841724784
155 --> 1461.847957552305
160 --> 1465.663161797075
165 --> 1469.096845617368
170 --> 1472.187161055631
175 --> 1474.968444950068
180 --> 1477.471600455061
185 --> 1479.724440409555
190 --> 1481.7519963686
195 --> 1483.57679673174
200 --> 1485.219117058566
205 --> 1486.69720535271
210 --> 1488.027484817438
215 --> 1489.224736335695
220 --> 1490.302262702125
225 --> 1491.272036431913
230 --> 1492.144832788721
235 --> 1492.93034950985
240 --> 1493.637314558864
245 --> 1494.273583102978
250 --> 1494.84622479268
255 --> 1495.361602313412
260 --> 1495.825442082071
265 --> 1496.242897873864
270 --> 1496.618608086478
275 --> 1496.95674727783
280 --> 1497.261072550047
285 --> 1497.534965295042
290 --> 1497.781468765538
295 --> 1498.003321888984
300 --> 1498.202989700086
305 --> 1498.382690730077
310 --> 1498.54442165707
315 --> 1498.689979491362
320 --> 1498.820981542226
325 --> 1498.938883388004
330 --> 1499.044995049203
335 --> 1499.140495544283
340 --> 1499.226445989855
345 --> 1499.30380139087
350 --> 1499.373421251782
355 --> 1499.436079126604
360 --> 1499.492471213944
365 --> 1499.54322409255
370 --> 1499.588901683295
375 --> 1499.630011514965
380 --> 1499.66701036347
385 --> 1499.700309327122
390 --> 1499.73027839441
395 --> 1499.75725055497
400 --> 1499.781525499472
405 --> 1499.803372949525
410 --> 1499.823035654572
415 --> 1499.840732089115
420 --> 1499.856658880203
425 --> 1499.870992992183
430 --> 1499.883893692965
435 --> 1499.895504323668
440 --> 1499.905953891302
445 --> 1499.915358502171
450 --> 1499.923822651954
455 --> 1499.93144038676
460 --> 1499.938296348083
465 --> 1499.944466713275
470 --> 1499.950020041947
475 --> 1499.955018037753
480 --> 1499.959516233977
485 --> 1499.96356461058
490 --> 1499.967208149522
495 --> 1499.97048733457
500 --> 1499.973438601113
505 --> 1499.976094741001
510 --> 1499.978485266901
515 --> 1499.980636740211
520 --> 1499.98257306619
525 --> 1499.984315759571
530 --> 1499.985884183614
535 --> 1499.987295765253
540 --> 1499.988566188727
545 --> 1499.989709569855
550 --> 1499.99073861287
555 --> 1499.991664751582
560 --> 1499.992498276424
565 --> 1499.993248448782
570 --> 1499.993923603904
575 --> 1499.994531243513
580 --> 1499.995078119162
585 --> 1499.995570307246
590 --> 1499.996013276521
595 --> 1499.99641194887
600 --> 1499.996770753982
605 --> 1499.997093678584
610 --> 1499.997384310725
615 --> 1499.997645879653
620 --> 1499.997881291688
625 --> 1499.99809316252
630 --> 1499.998283846267
635 --> 1499.99845546164
640 --> 1499.998609915476
645 --> 1499.99874892393
650 --> 1499.998874031536
655 --> 1499.998986628382
660 --> 1499.999087965544
665 --> 1499.99917916899
670 --> 1499.999261252091
675 --> 1499.999335126882
680 --> 1499.999401614194
685 --> 1499.999461452774
690 --> 1499.999515307497
695 --> 1499.999563776747
700 --> 1499.999607399073
705 --> 1499.999646659165
710 --> 1499.99968199325
715 --> 1499.999713793924
720 --> 1499.999742414532
725 --> 1499.99976817308
730 --> 1499.999791355771
735 --> 1499.999812220194
740 --> 1499.999830998174
745 --> 1499.999847898357
750 --> 1499.999863108521
755 --> 1499.99987679767
760 --> 1499.999889117902
765 --> 1499.999900206112
770 --> 1499.999910185501
775 --> 1499.999919166951
780 --> 1499.999927250255
785 --> 1499.99993452523
790 --> 1499.999941072707
795 --> 1499.999946965436
800 --> 1499.999952268893
805 --> 1499.999957042003
810 --> 1499.999961337803
815 --> 1499.999965204023
820 --> 1499.999968683621
825 --> 1499.99997181526
830 --> 1499.999974633733
835 --> 1499.99997717036
840 --> 1499.999979453323
845 --> 1499.999981507991
850 --> 1499.999983357192
855 --> 1499.999985021473
860 --> 1499.999986519325
865 --> 1499.999987867393
870 --> 1499.999989080653
875 --> 1499.999990172588
880 --> 1499.99999115533
885 --> 1499.999992039796
890 --> 1499.999992835817
895 --> 1499.999993552235
900 --> 1499.999994197011
905 --> 1499.99999477731
910 --> 1499.99999529958
915 --> 1499.999995769621
920 --> 1499.99999619266
925 --> 1499.999996573393
930 --> 1499.999996916054
935 --> 1499.999997224448
940 --> 1499.999997502003
945 --> 1499.999997751803
950 --> 1499.999997976623
955 --> 1499.99999817896
960 --> 1499.999998361064
965 --> 1499.999998524958
970 --> 1499.999998672462
975 --> 1499.999998805216
980 --> 1499.999998924694
985 --> 1499.999999032224
990 --> 1499.999999129002
995 --> 1499.999999216102
1000 --> 1499.999999294492
1005 --> 1499.999999365042
1010 --> 1499.999999428538
1015 --> 1499.999999485684
1020 --> 1499.999999537116
1025 --> 1499.999999583404
1030 --> 1499.999999625064
1035 --> 1499.999999662557
1040 --> 1499.999999696302
1045 --> 1499.999999726671
1050 --> 1499.999999754004
1055 --> 1499.999999778604
1060 --> 1499.999999800743
1065 --> 1499.99999982067
1070 --> 1499.999999838602
1075 --> 1499.999999854742
1080 --> 1499.999999869267
1085 --> 1499.999999882341
1090 --> 1499.999999894107
1095 --> 1499.999999904696
1100 --> 1499.999999914226
1105 --> 1499.999999922803
1110 --> 1499.999999930523
1115 --> 1499.999999937471
1120 --> 1499.999999943723
1125 --> 1499.999999949351
1130 --> 1499.999999954416
1135 --> 1499.999999958974
1140 --> 1499.999999963077
1145 --> 1499.99999996677
1150 --> 1499.999999970092
1155 --> 1499.999999973083
1160 --> 1499.999999975774
1165 --> 1499.999999978197
1170 --> 1499.999999980377
1175 --> 1499.99999998234
1180 --> 1499.999999984105
1185 --> 1499.999999985695
1190 --> 1499.999999987125
1195 --> 1499.999999988412
1200 --> 1499.999999989571
1205 --> 1499.999999990614
1210 --> 1499.999999991552
1215 --> 1499.999999992397
1220 --> 1499.999999993157
1225 --> 1499.999999993841
1230 --> 1499.999999994457
1235 --> 1499.999999995011
1240 --> 1499.99999999551
1245 --> 1499.99999999596
1250 --> 1499.999999996363
1255 --> 1499.999999996727
1260 --> 1499.999999997054
1265 --> 1499.999999997348
1270 --> 1499.999999997613
1275 --> 1499.999999997852
1280 --> 1499.999999998066
1285 --> 1499.99999999826
1290 --> 1499.999999998434
1295 --> 1499.99999999859
1300 --> 1499.999999998731
1305 --> 1499.999999998858
1310 --> 1499.999999998972
1315 --> 1499.999999999075
1320 --> 1499.999999999167
1325 --> 1499.99999999925
1330 --> 1499.999999999325
1335 --> 1499.999999999392
1340 --> 1499.999999999453
1345 --> 1499.999999999508
1350 --> 1499.999999999557
1355 --> 1499.999999999601
1360 --> 1499.999999999641
1365 --> 1499.999999999676
1370 --> 1499.99999999971
1375 --> 1499.999999999738
1380 --> 1499.999999999764
1385 --> 1499.999999999787
1390 --> 1499.99999999981
1395 --> 1499.999999999828
1400 --> 1499.999999999845
1405 --> 1499.99999999986
1410 --> 1499.999999999874
1415 --> 1499.999999999887
1420 --> 1499.999999999898
1425 --> 1499.999999999908
1430 --> 1499.999999999917
1435 --> 1499.999999999925
1440 --> 1499.999999999932
1445 --> 1499.99999999994
1450 --> 1499.999999999945
1455 --> 1499.99999999995
1460 --> 1499.999999999955
1465 --> 1499.99999999996
1470 --> 1499.999999999963
1475 --> 1499.999999999967
1480 --> 1499.99999999997
1485 --> 1499.999999999973
1490 --> 1499.999999999975
1495 --> 1499.999999999978
1500 --> 1499.99999999998
1505 --> 1499.999999999982

Die Sättigungsgrenze beträgt also 1500

Wie das als geschlossene Formel aussieht weiß ich leider auf die Schnelle nicht, sorry.

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