The sum of all numbers between 0 and 10,000 which is exactly divisible by 77 is:
that answer is apparently 645645 but I only get either 634426 or 654350 when i solve, pls enlighten me how to get the correct answer.
Very poorly worded question !
I think what you want to say is:
What consecutive integers between 0 and 10,000 sum up to: 645,645 ?
The answer is: all integers between 19 (inclusive) and 1,136 (inclusive) =645,645
645,645 mod 77 =0 - the remainder.
There are actually 63 sequences of consecutive integers between 0 and 10,000 that sum up to: 645,645.
Sequences of consecutive integers:
1 - 322822 to 322823 = 645645
2 - 215214 to 215216 = 645645
3 - 129127 to 129131 = 645645
4 - 107605 to 107610 = 645645
5 - 92232 to 92238 = 645645
6 - 64560 to 64569 = 645645
7 - 58690 to 58700 = 645645
8 - 49659 to 49671 = 645645
9 - 46111 to 46124 = 645645
10 - 43036 to 43050 = 645645
11 - 30735 to 30755 = 645645
12 - 29337 to 29358 = 645645
13 - 24820 to 24845 = 645645
14 - 21507 to 21536 = 645645
15 - 19549 to 19581 = 645645
16 - 18430 to 18464 = 645645
17 - 16536 to 16574 = 645645
18 - 15352 to 15393 = 645645
19 - 14994 to 15036 = 645645
20 - 11712 to 11766 = 645645
21 - 9901 to 9965 = 645645
22 - 9750 to 9815 = 645645
23 - 9189 to 9258 = 645645
24 - 8347 to 8423 = 645645
25 - 8239 to 8316 = 645645
26 - 7465 to 7550 = 645645
27 - 7050 to 7140 = 645645
28 - 6097 to 6201 = 645645
29 - 5815 to 5924 = 645645
30 - 4941 to 5069 = 645645
31 - 4902 to 5031 = 645645
32 - 4444 to 4586 = 645645
33 - 4116 to 4269 = 645645
34 - 3831 to 3995 = 645645
35 - 3457 to 3638 = 645645
36 - 3214 to 3408 = 645645
37 - 2970 to 3179 = 645645
38 - 2896 to 3110 = 645645
39 - 2680 to 2910 = 645645
40 - 2374 to 2631 = 645645
41 - 2229 to 2501 = 645645
42 - 2115 to 2400 = 645645
43 - 1995 to 2295 = 645645
44 - 1792 to 2121 = 645645
45 - 1485 to 1869 = 645645
46 - 1461 to 1850 = 645645
47 - 1291 to 1719 = 645645
48 - 1287 to 1716 = 645645
49 - 1192 to 1646 = 645645
50 - 1167 to 1628 = 645645
51 - 1129 to 1601 = 645645
52 - 910 to 1455 = 645645
53 - 876 to 1434 = 645645
54 - 772 to 1373 = 645645
55 - 679 to 1323 = 645645
56 - 546 to 1260 = 645645
57 - 454 to 1223 = 645645
58 - 324 to 1181 = 645645
59 - 264 to 1166 = 645645
60 - 255 to 1164 = 645645
61 - 210 to 1155 = 645645
62 - 145 to 1145 = 645645
63 - 19 to 1136 = 645645