1. Example-1
1. find the sum of first 12 multiple of 12
Solution:
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 3
Solution:
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 8
Solution:
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
|
