complete the pattern 121,133,146?
104047
yes id say 160 but itz hard to tell with only 3 numbers. it seems that you add 12 to the first, then 13 to the 2nd and then probably 14 to the 3rd number (which would be 160)
887265
Please double check the output because there is no pattern.  Also add the level of Math this is
565191
I think that the easiest way to do this is by enumeration. \n\nIf there are 3 red beads in a row the 3 blue beads have to be in a row. That's pattern 1.\n\nIf no red bead touches any other red bead, then the pattern has to be RBRBRB. That's patern 2.\n\nIf the red beads are split 2 and 1.\nThen the pattern has to be RRBBRB or RRBRBB.\nIf you flip the first pattern over (which you could do with a bracelet) they are the same, so that's only one pattern.\n\nSo 3 patterns total.
487838
1) Assuming an aritmetic sequence\n\nbn = b1 + (n-1)d \nletting b3=a1 = 20, then b7=a5 = 32, and b25 = b23\na5 = a1 + (5-1)d\n32 = 20 + (5-1)d\n32 = 20 + 4d\n12 = 4d\n3 = d\n\nb25 = a23 = 20 + (23-1)*3\nb25 = 20 + 22*3\nb25 = 20 + 66\nb25 = 86\n=====================================================\n2)\na75 = a1 + (75-1)d; d=-3\n\na75 = 5 + (75-1)*-3\na75 = 5 + 74*-3\na75 = 5 + -222\na75 = -217\n\nSn = n/2(a1+an)\nS75 = 75/2(5 + -217)\nS75 = 75/2(-212)\nS75 = -7950\n===================================================\n3) ????\n\na5 = 5*5 - 4 = 21\na15 = 5*15 - 4 = 71\na25 = 5*25 - 4 = 121\n\nOR MAYBE\n\na1 = 5*1 - 4\na1 = 5 - 4\na1 = 1\na30 = 5*30 - 4\na30 = 150 - 4\na30 = 146\n\nSn = n/2(a1+an)\nS30 = 30/2(1 + 146)\nS30 = 30/2(147)\nS30 = 2205\n================================================\n4)\n\nrth term is nCr-1m^n-(r-1)k^r-1\n\n5th term =\n4C4m^4-(5-1)k^5-1\n4C4 = 1\n\n5th term = k^4
342259
6! or 720 arrangements.\n\n2 * 4! or 48 with vowels at the ends, so it's a 1/15 chance.\n\nEdit: Yeah, I messed up.  Forgot the *2.
531502
12408 = (2^3)*3*11*47\n\nso just pick all the combinations:\n1, 2, 4, 6, 8, 22, 24, 33, 44, 66, 88, 94, 132, 141, 264, 282, 517, 1551, 3102, 6204, 12408...there are probably more
972447
8,6.12,18,10,1,4,21,8,12,7,15
376218
Not sure how many you need, but here are the first few:\n2,3,5,7,11,13,17,19,23,29,31, 37,41,43,47,53,59,61,67, 71,73,79,83,89,97,101
868097
-\naside from 1,\n2,3,4,6,12
331637
hahaha. do it yourself. ill start you off.\nfirst write out the 5 possibilities of the first letter. then for each letter, write out the 4 possibilities of the 2nd letter. then for each of those combinations, write out the 3 possibilities of the 3rd letter and for each of those write otu the 2 possibilities of the 4th letter and then theres only 1 possibility of the last letter for each of them.\n\nF L A S H\nF L A H S\nF L S A H\nF L S H A\nF L H A S\nF L H S A\nF A L S H\nF A L H S\nF A S L H\nF A S H L\nF A H L S\nF A H S L\nF S L A H\nF S L H A\nF S A L H\nF S A H L\nF S H L A\nF S H A L\nF H L A S\nF H L S A\nF H A L S\nF H A S L\nF H S L A\nF H S A L\n\nL F\n  A\n  S\n  H\n\nA F\n  L\n  S\n  H\n\nS F\n  L\n  A\n  H\n\nH F\n  L\n  A\n  S
1030368
(a1* ... *aN)^(1/N)\n\nAs soon as you find the geometric sequence\n\n(a1 * a2 * a3 * a4 * a5 * a6)^(1/6)\nwould be an example of geometric meant, assuming you know a1 through a6\n\nLets say you had\n\n1, 2, 4, 8, 16, 32\n\nThe pattern would be 2^(n - 1)\n\nThe geometric mean would be done like this\n\n(1 * 2 * 4 * 8 * 16 * 32)^(1/6) = 32768^(1/6) = 5.6568542...
249568
D.\n13 + 12=25\n25 + 12=37\n37 + 12=49\n49 + 12=61
679910
Knit one\nPurl two\nslip next stitch\nPurl single stitch over next two
889816
1/rt3 *1/rt2-1/rt3\n[1/rt3](1/rt2-1)\n[1/rt3](1-rt2/rt2)\nrationalising\n[(1-rt2)*rt6]/6
529117
Hold down the alt key while enterin the following numbers on your numpad: (EDIT: Make sure the numlock is on)\n\nà 133    \nÀ 0192 \nâ 131  \nÂ 0194 \nä 132  \nÄ 142 \næ 145  \nÆ 146 \nç 135  \nÇ 128 \né 130  \nÉ 144 \nè 138  \nÈ 0200 \nê 136  \nÊ 0202 \në 137  \nË 0203 \nî 140  \nÎ 0206 \nï 139  \nÏ 0207 \nñ 164\nô 147  \nÔ 0212 \nœ 0156 \nŒ 0140 \nù 151  \nÙ 0217 \nû 150  \nÛ 0219 \nü 129  \nÜ 154 \n« 174  \n» 175
645476
FINISHING MOVES....\n1:1\n2:1\n3:2\n4:1\n5:1\n6:2\n7:1\n8:2\n9:2\n10:1\n11:1\n12:1\n13:2\n14:3\n15:3\nSUBMISSIONS....\n1:1\n2:1\n3:3\n4:1\n5:2\n6:1\n7:2\n8:2
200692
15,21,25,28,29,5,1,3,99,31