- 小菜G的建站之路
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首先,我们需要找出这个数列的通项公式。
这个数列是从101开始,每隔2个数加一个数,所以可以列出通项公式:
an = 101 + (n-1)*2,其中an为第n个数。
然后,我们需要求出最后一个数的位置n,才能算出这个数列的总和。我们可以用这个公式来求出:
an = 101 + (n-1)*2 = 2021
解出n:
n = (2021-101)/2 + 1 = 961
所以,这个数列一共有961个数。
接下来,我们可以用数学公式来求出这个数列的总和。求和公式为:
S = n*(a1 + an)/2
其中,S为总和,n为数列中的项数,a1为第一个数,an为最后一个数。
代入数值,得到:
S = 961*(101 + 2021)/2 = 961*1061 = 1,020,421
所以,这个数列的总和为1,020,421。
- hi投
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101 + 103 = 204 204 + 105 = 309 309 + 107 = 416 416 + 109 = 525 525 + 111 = 636 636 + 113 = 749 749 + 115 = 864 864 + 117 = 981 981 + 119 = 1100 1100 + 121 = 1221 1221 + 123 = 1344 1344 + 125 = 1470 1470 + 127 = 1597 1597 + 129 = 1726 1726 + 131 = 1857 1857 + 133 = 1990 1990 + 135 = 2125 2125 + 137 = 2262 2262 + 139 = 2401 2401 + 141 = 2542 2542 + 143 = 2685 2685 + 145 = 2830 2830 + 147 = 2977 2977 + 149 = 3126 3126 + 151 = 3277 3277 + 153 = 3430 3430 + 155 = 3585 3585 + 157 = 3742 3742 + 159 = 3901 3901 + 161 = 4062 4062 + 163 = 4225 4225 + 165 = 4390 4390 + 167 = 4557 4557 + 169 = 4726 4726 + 171 = 4897 4897 + 173 = 5070 5070 + 175 = 5245 5245 + 177 = 5422 5422 + 179 = 5601 5601 + 181 = 5782 5782 + 183 = 5965 5965 + 185 = 6150 6150 + 187 = 6337 6337 + 189 = 6526 6526 + 191 = 6717 6717 + 193 = 6910 6910 + 195 = 7105 7105 + 197 = 7302 7302 + 199 = 7501 7501 + 201 = 7702 7702 + 203 = 7905 7905 + 205 = 8110 8110 + 207 = 8317 8317 + 209 = 8526 8526 + 211 = 8737 8737 + 213 = 8950 8950 + 215 = 9165 9165 + 217 = 9382 9382 + 219 = 9601 9601 + 221 = 9822 9822 + 223 = 10045 10045 + 225 = 10270 10270 + 227 = 10497 10497 + 229 = 10726 10726 + 231 = 10957 10957 + 233 = 11190 11190 + 235 = 11425 11425 + 237 = 11662 11662 + 239 = 11901 11901 + 241 = 12142 12142 + 243 = 12385 12385 + 245 = 12630 12630 + 247 = 12877 12877 + 249 = 13126 13126 + 251 = 13377 13377 + 253 = 13630 13630 + 255 = 13885 13885 + 257 = 14142 14142 + 259 = 14401 14401 + 261 = 14662 14662 + 263 = 14925 14925 + 265 = 15190 15190 + 267 = 15457 15457 + 269 = 15726 15726 + 271 = 15997 15997 + 273 = 16270 16270 + 275 = 16545 16545 + 277 = 16822 16822 + 279 = 17101 17101 + 281 = 17382 17382 + 283 = 17665 17665 + 285 = 17950 17950 + 287 = 18237 18237 + 289 = 18526 18526 + 291 = 18817 18817 + 293 = 19110 19110 + 295 = 19405 19405 + 297 = 19702 19702 + 299 = 20001 20001 + 301 = 20302 20302 + 303 = 20605 20605 + 305 = 20910 20910 + 307 = 21217 21217 + 309 = 21526 21526 + 311 = 21837 21837 + 313 = 22150 22150 + 315 = 22465 22465 + 317 = 22782 22782 + 319 = 23101 23101 + 321 = 23422 23422 + 323 = 23745 23745 + 325 = 24070 24070 + 327 = 24397 24397 + 329 = 24726 24726 + 331 = 25057 25057 + 333 = 25390 25390 + 335 = 25725 25725 + 337 = 26062 26062 + 339 = 26401 26401 + 341 = 26742 26742 + 343 = 27085 27085 + 345 = 27430 27430 + 347 = 27777 27777 + 349 = 28126 28126 + 351 = 28477 28477 + 353 = 28830 28830 + 355 = 29185 29185 + 357 = 29542 29542 + 359 = 29901 29901 + 361 = 30262 30262 + 363 = 30625 30625 + 365 = 30990 30990 + 367 = 31357 31357 + 369 = 31726 31726 + 371 = 32097 32097 + 373 = 32470 32470 + 375 = 32845 32845 + 377 = 33222 33222 + 379 = 33601 33601 + 381 = 33982 33982 + 383 = 34365 34365 + 385 = 34750 34750 + 387 = 35137 35137 + 389 = 35526 35526 + 391 = 35917 35917 + 393 = 36310 36310 + 395 = 36705 36705 + 397 = 37102 37102 + 399 = 37501 37501 + 401 = 37902 37902 + 403 = 38305 38305 + 405 = 38710 38710 + 407 = 39117 39117 + 409 = 39526 39526 + 411 = 39937 39937 + 413 = 40350 40350 + 415 = 40765 40765 + 417 = 41182 41182 + 419 = 41601 41601 + 421 = 42022 42022 + 423 = 42445 42445 + 425 = 42870 42870 + 427 = 43297 43297 + 429 = 43726 43726 + 431 = 44157 44157 + 433 = 44590 44590 + 435 = 45025 45025 + 437 = 45462 45462 + 439 = 45901 45901 + 441 = 46342 46342 + 443 = 46785 46785 + 445 = 47230 47230 + 447 = 47677 47677 + 449 = 48126 48126 + 451 = 48577 48577 + 453 = 49030 49030 + 455 = 49485 49485 + 457 = 49942 49942 + 459 = 50401 50401 + 461 = 50862 50862 + 463 = 51325 51325 + 465 = 51790 51790 + 467 = 52257 52257 + 469 = 52726 52726 + 471 = 53197 53197 + 473 = 53670 53670 + 475 = 54145 54145 + 477 = 54622 54622 + 479 = 55101 55101 + 481 = 55582 55582 + 483 = 56065 56065 + 485 = 56550 56550 + 487 = 57037 57037 + 489 = 57526 57526 + 491 = 58017 58017 + 493 = 58510 58510 + 495 = 59005 59005 + 497 = 59502 59502 + 499 = 60001 60001 + 501 = 60502 60502 + 503 = 61005 61005 + 505 = 61510 61510 + 507 = 62017 62017 + 509 = 62526 62526 + 511 = 63037 63037 + 513 = 63550 63550 + 515 = 64065 64065 + 517 = 64582 64582 + 519 = 65101 65101 + 521 = 65622 65622 + 523 = 66145 66145 + 525 = 66670 66670 + 527 = 67197 67197 + 529 = 67726 67726 + 531 = 68257 68257 + 533 = 68790 68790 + 535 = 69325 69325 + 537 = 69862 69862 + 539 = 70301 70301 + 541 = 70742 70742 + 543 = 71185 71185 + 545 = 71630 71630 + 547 = 72077 72077 + 549 = 72526 72526 + 551 = 72977 72977 + 553 = 73430 73430 + 555 = 73885 73885 + 557 = 74342 74342 + 559 = 74801 74801 + 561 = 75262 75262 + 563 = 75725 75725 + 565 = 76190 76190 + 567 = 76657 76657 + 569 = 77126 77126 + 571 = 77697 77697 + 573 = 78170 78170 + 575 = 78645 78645 + 577 = 79122 79122 + 579 = 79601 79601 + 581 = 80082 80082 + 583 = 80565 80565 + 585 = 81050 81050 + 587 = 81537 81537 + 589 = 82026 82026 + 591 = 82517 82517 + 593 = 83010 83010 + 595 = 83505 83505 + 597 = 84002 84002 + 599 = 84501 84501 + 601 = 85002 85002 + 603 = 85505 85505 + 605 = 86010 86010 + 607 = 86517 86517 + 609 = 87026 87026 + 611 = 87537 87537 + 613 = 88050 88050 + 615 = 88565 88565 + 617 = 89082 89082 + 619 = 89601 89601 + 621 = 90122 90122 + 623 = 90645 90645 + 625 = 91170 91170 + 627 = 91697 91697 + 629 = 92226 92226 + 631 = 92757 92757 + 633 = 93290 93290 + 635 = 93825 93825 + 637 = 94362 94362 + 639 = 94901 94901 + 641 = 95442 95442 + 643 = 95985 95985 + 645 = 96530 96530 + 647 = 97077 97077 + 649 = 97626 97626 + 651 = 98177 98177 + 653 = 98730 98730 + 655 = 99285 99285 + 657 = 99842 99842 + 659 = 100401 100401 + 661 = 100962 100962 + 663 = 101525 101525 + 665 = 102090 102090 + 667 = 102657 102657 + 669 = 103226 103226 + 671 = 103797 103797 + 673 = 104370 104370 + 675 = 104945 104945 + 677 = 105522 105522 + 679 = 106101 106101 + 681 = 106682 106682 + 683 = 107265 107265 + 685 = 107850 107850 + 687 = 108437 108437 + 689 = 109026 109026 + 691 = 109617 109617 + 693 = 110210 110210 + 695 = 110805 110805 + 697 = 111402 111402 + 699 = 112001 112001 + 701 = 112602 112602 + 703 = 113205 113205 + 705 = 113810 113810 + 707 = 114417 114417 + 709 = 115026 115026 + 711 = 115637 115637 + 713 = 116250 116250 + 715 = 116865 116865 + 717 = 117482 117482 + 719 = 118101 118101 + 721 = 118722 118722 + 723 = 119345 119345 + 725 = 119970 119970 + 727 = 120597 120597 + 729 = 121226 121226 + 731 = 121857 121857 + 733 = 122490 122490 + 735 = 123125 123125 + 737 = 123762 123762 + 739 = 124401 124401 + 741 = 125042 125042 + 743 = 125685 125685 + 745 = 126330 126330 + 747 = 126977 126977 + 749 = 127626 127626 + 751 = 128277 128277 + 753 = 128930 128930 + 755 = 129585 129585 + 757 = 130242 130242 + 759 = 130901 130901 + 761 = 131562 131562 + 763 = 132225 132225 + 765 = 132890 132890 + 767 = 133557 133557 + 769 = 134226 134226 + 771 = 134897 134897 + 773 = 135570 135570 + 775 = 136245 136245 + 777 = 136922 136922 + 779 = 137601 137601 + 781 = 138282 138282 + 783 = 138965 138965 + 785 = 139650 139650 + 787 = 140337 140337 + 789 = 141026 141026 + 791 = 141717 141717 + 793 = 142410 142410 + 795 = 143105 143105 + 797 = 143802 143802 + 799 = 144501 144501 + 801 = 145202 145202 + 803 = 145905 145905 + 805 = 146610 146610 + 807 = 147317 147317 + 809 = 148026 148026 + 811 = 148737 148737 + 813 = 149450 149450 + 815 = 150165 150165 + 817 = 150882 150882 + 819 = 151601 151601 + 821 = 152322 152322 + 823 = 153045 153045 + 825 = 153770 153770 + 827 = 154497 154497 + 829 = 155226 155226 + 831 = 155957 155957 + 833 = 156690 156690 + 835 = 157425 157425 + 837 = 158162 158162 + 839 = 158901 158901 + 841 = 159642 159642 + 843 = 160385 160385 + 845 = 161130 161130 + 847 = 161877 161877 + 849 = 162626 162626 + 851 = 163377 163377 + 853 = 164130 164130 + 855 = 164885 164885 + 857 = 165642 165642 + 859 = 166401 166401 + 861 = 167162 167162 + 863 = 167925 167925 + 865 = 168690 168690 + 867 = 169457 169457 + 869 = 170226 170226 + 871 = 170997 170997 + 873 = 171770 171770 + 875 = 172545 172545 + 877 = 173322 173322 + 879 = 174101 174101 + 881 = 174882 174882 + 883 = 175665 175665 + 885 = 176450 176450 + 887 = 177237 177237 + 889 = 178026 178026 + 891 = 178817 178817 + 893 = 179610 179610 + 895 = 180405 180405 + 897 = 181202 181202 + 899 = 182001 182001 + 901 = 182802 182802 + 903 = 183605 183605 + 905 = 184410 184410 + 907 = 185217 185217 + 909 = 186026 186026 + 911 = 186837 186837 + 913 = 187650 187650 + 915 = 188465 188465 + 917 = 189282 189282 + 919 = 190101
- tt白
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101+103+105+u2026+2021=uff08101+2021uff09+uff08103+2019uff09+uff08105+2017uff09+u2026+uff081059+1063uff09+1061=2122*480+1061=1018560+1061=1019621