1. find the sum of first 12 multiple of 12Solution:First 12 Multiples of 12
12 | `xx` | 1 | = | 12 |
12 | `xx` | 2 | = | 24 |
12 | `xx` | 3 | = | 36 |
12 | `xx` | 4 | = | 48 |
12 | `xx` | 5 | = | 60 |
12 | `xx` | 6 | = | 72 |
12 | `xx` | 7 | = | 84 |
12 | `xx` | 8 | = | 96 |
12 | `xx` | 9 | = | 108 |
12 | `xx` | 10 | = | 120 |
12 | `xx` | 11 | = | 132 |
12 | `xx` | 12 | = | 144 |
Multiples of 12 are `12,24,36,48,60,72,84,96,108,120,132,144`
Adding the multiples, the Sum is `936`
2. find the sum of first 8 multiple of 3Solution:First 8 Multiples of 3
3 | `xx` | 1 | = | 3 |
3 | `xx` | 2 | = | 6 |
3 | `xx` | 3 | = | 9 |
3 | `xx` | 4 | = | 12 |
3 | `xx` | 5 | = | 15 |
3 | `xx` | 6 | = | 18 |
3 | `xx` | 7 | = | 21 |
3 | `xx` | 8 | = | 24 |
Multiples of 3 are `3,6,9,12,15,18,21,24`
Adding the multiples, the Sum is `108`
3. find the sum of first 15 multiples of 8Solution:First 15 Multiples of 8
8 | `xx` | 1 | = | 8 |
8 | `xx` | 2 | = | 16 |
8 | `xx` | 3 | = | 24 |
8 | `xx` | 4 | = | 32 |
8 | `xx` | 5 | = | 40 |
8 | `xx` | 6 | = | 48 |
8 | `xx` | 7 | = | 56 |
8 | `xx` | 8 | = | 64 |
8 | `xx` | 9 | = | 72 |
8 | `xx` | 10 | = | 80 |
8 | `xx` | 11 | = | 88 |
8 | `xx` | 12 | = | 96 |
8 | `xx` | 13 | = | 104 |
8 | `xx` | 14 | = | 112 |
8 | `xx` | 15 | = | 120 |
Multiples of 8 are `8,16,24,32,40,48,56,64,72,80,88,96,104,112,120`
Adding the multiples, the Sum is `960`
This material is intended as a summary. Use your textbook for detail explanation.
Any bug, improvement, feedback then