3. Mixed type series (*a+b)
1. Find next 3 numbers in the sequence `3,7,15,31,63`
3 |
|
7 |
|
15 |
|
31 |
|
63 |
|
127 |
|
255 |
|
511 |
|
`xx2 +1` |
|
`xx2 +1` |
|
`xx2 +1` |
|
`xx2 +1` |
|
`xx2 +1` |
|
`xx2 +1` |
|
`xx2 +1` |
`:.` The next 3 number for given series `3,7,15,31,63` are `127,255,511`
Solution-1
3 |
|
7 |
|
15 |
|
31 |
|
63 |
|
127 |
|
255 |
|
511 |
|
`+`4 |
|
`+`8 |
|
`+`16 |
|
`+`32 |
|
`+`64 |
|
`+`128 |
|
`+`256 |
|
|
`xx`2 |
|
`xx`2 |
|
`xx`2 |
|
`xx`2 |
|
`xx`2 |
|
`xx`2 |
`:.` The next 3 number for given series `3,7,15,31,63` are `127,255,511`
Solution-2
2. Find next 3 numbers in the sequence `4,10,28,82,244`
4 |
|
10 |
|
28 |
|
82 |
|
244 |
|
730 |
|
2188 |
|
6562 |
|
`xx3 -2` |
|
`xx3 -2` |
|
`xx3 -2` |
|
`xx3 -2` |
|
`xx3 -2` |
|
`xx3 -2` |
|
`xx3 -2` |
`:.` The next 3 number for given series `4,10,28,82,244` are `730,2188,6562`
Solution-1
4 |
|
10 |
|
28 |
|
82 |
|
244 |
|
730 |
|
2188 |
|
6562 |
|
`+`6 |
|
`+`18 |
|
`+`54 |
|
`+`162 |
|
`+`486 |
|
`+`1458 |
|
`+`4374 |
|
|
`xx`3 |
|
`xx`3 |
|
`xx`3 |
|
`xx`3 |
|
`xx`3 |
|
`xx`3 |
`:.` The next 3 number for given series `4,10,28,82,244` are `730,2188,6562`
Solution-2
3. Find next 3 numbers in the sequence `4,8,10,20,22,44`
4 |
|
8 |
|
10 |
|
20 |
|
22 |
|
44 |
|
46 |
|
92 |
|
94 |
|
`xx`2 |
|
`+`2 |
|
`xx`2 |
|
`+`2 |
|
`xx`2 |
|
`+`2 |
|
`xx`2 |
|
`+`2 |
`:.` The next 3 number for given series `4,8,10,20,22,44` are `46,92,94`
Solution-1
4. Find next 3 numbers in the sequence `4,6,14,44,178`
4 |
|
6 |
|
14 |
|
44 |
|
178 |
|
892 |
|
5354 |
|
37480 |
|
`xx1 +2` |
|
`xx2 +2` |
|
`xx3 +2` |
|
`xx4 +2` |
|
`xx5 +2` |
|
`xx6 +2` |
|
`xx7 +2` |
`:.` The next 3 number for given series `4,6,14,44,178` are `892,5354,37480`
Solution-1
5. Find next 3 numbers in the sequence `4,5,11,34,137`
4 |
|
5 |
|
11 |
|
34 |
|
137 |
|
686 |
|
4117 |
|
28820 |
|
`xx1 +1` |
|
`xx2 +1` |
|
`xx3 +1` |
|
`xx4 +1` |
|
`xx5 +1` |
|
`xx6 +1` |
|
`xx7 +1` |
`:.` The next 3 number for given series `4,5,11,34,137` are `686,4117,28820`
Solution-1
6. Find next 3 numbers in the sequence `8,28,116,584`
8 |
|
28 |
|
116 |
|
584 |
|
3508 |
|
24560 |
|
196484 |
|
`xx3 +4` |
|
`xx4 +4` |
|
`xx5 +4` |
|
`xx6 +4` |
|
`xx7 +4` |
|
`xx8 +4` |
`:.` The next 3 number for given series `8,28,116,584` are `3508,24560,196484`
Solution-1
This material is intended as a summary. Use your textbook for detail explanation. Any bug, improvement, feedback then
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