9. 2 or 3 digits group series
1. Find next 3 numbers in the sequence `34,56,78,910,1112,1314`
Answer : `34,56,78,910,1112,1314,1516,1718,1920`
`:.` The next 3 number for given series `34,56,78,910,1112,1314` are `1516,1718,1920`
Solution-1
2. Find next 3 numbers in the sequence `1615,1413,1211,109,87`
Answer : `1615,1413,1211,109,87,65,43,21`
`:.` The next 3 number for given series `1615,1413,1211,109,87` are `65,43,21`
Solution-1
3. Find next 3 numbers in the sequence `345,567,789,91011,111213`
Answer : `345,567,789,91011,111213,131415,151617,171819`
`:.` The next 3 number for given series `345,567,789,91011,111213` are `131415,151617,171819`
Solution-1
4. Find next 3 numbers in the sequence `23,35,57,711`
Each number in the series is combination of 2 prime numbers
So required number are
Answer : `23,35,57,711,1113,1317,1719`
`:.` The next 3 number for given series `23,35,57,711` are `1113,1317,1719`
Solution-1
5. Find next 3 numbers in the sequence `1,4,9,1,6,2,5,3,6,4,9,6,4,8,1`
They are the first few square numbers, separated into sets of 1 digits,
ie. 1,4,9,16,25,36,49,64,81,100,121,144,169,196,225,256,289,324,361,400 ... becomes
1 4 9 1 6 2 5 3 6 4 9 6 4 8 1 1 0 0 ...
Answer : `1,0,0`
`:.` The next 3 number for given series `1,4,9,1,6,2,5,3,6,4,9,6,4,8,1` are `1,0,0`
Solution-1
6. Find next 3 numbers in the sequence `18,27,64,12,52,16,34`
They are the first few cube numbers, separated into sets of 2 digits,
ie. 1,8,27,64,125,216,343,512,729,1000,1331,1728,2197,2744,3375,4096,4913,5832,6859,8000
... becomes
18 27 64 12 52 16 34 35 12 72 ...
Answer : `35,12,72`
`:.` The next 3 number for given series `18,27,64,12,52,16,34` are `35,12,72`
Solution-1
7. Find next 3 numbers in the sequence `91,62,53,64,96`
They are the first few square numbers, separated into sets of 2 digits,
ie. 1,4,9,16,25,36,49,64,81,100,121,144,169,196,225,256,289,324,361,400 ... becomes
91 62 53 64 96 48 11 00 ...
Answer : `48,11,00`
`:.` The next 3 number for given series `91,62,53,64,96` are `48,11,0`
Solution-1
8. Find next 3 numbers in the sequence `135,791,113,151`
They are the first few odd numbers, separated into sets of 3 digits,
ie. 1,3,5,7,9,11,13,15,17,19,21,23,25,27,29,31,33,35,37,39,41,43,45,47,49,51 ...
becomes
135 791 113 151 719 212 325 ...
Answer : `719,212,325`
`:.` The next 3 number for given series `135,791,113,151` are `719,212,325`
Solution-1
9. Find next 3 numbers in the sequence `101,112,131,415`
They are the first few numbers numbers, separated into sets of 3 digits,
ie. 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,60,61,62,63,64
... becomes
101 112 131 415 161 718 192 ...
Answer : `161,718,192`
`:.` The next 3 number for given series `101,112,131,415` are `161,718,192`
Solution-1
10. Find next 3 numbers in the sequence `61,21,82,43,03`
They are the first few multiple of 6 numbers, separated into sets of 2 digits,
ie. 6,12,18,24,30,36,42,48,54,60,66,72,78,84,90,96,102,108,114,120 ... becomes
61 21 82 43 03 64 24 85 ...
Answer : `64,24,85`
`:.` The next 3 number for given series `61,21,82,43,3` are `64,24,85`
Solution-1
11. Find next 3 numbers in the sequence `18,27,64,12,52,16,34`
They are the first few cube numbers, separated into sets of 2 digits,
ie. 1,8,27,64,125,216,343,512,729,1000,1331,1728,2197,2744,3375,4096,4913,5832,6859,8000
... becomes
18 27 64 12 52 16 34 35 12 72 ...
Answer : `35,12,72`
`:.` The next 3 number for given series `18,27,64,12,52,16,34` are `35,12,72`
Solution-1
This material is intended as a summary. Use your textbook for detail explanation.
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