Table summarizes calculation for series of values using proposed methodology_
| Value | LHS (Initial Value)(p2 p1)2 | LHS(Series Value) (a0 + nd) | LHS= Initial Value+Series Value | RHS (p1 p0)2 | Answer |
|---|---|---|---|---|---|
| 1402 | 10 * 142 = 196 | a0 = −42 = −16 | 19616 = 180 | 402 = 1600 | 180|1600 = 196|00 |
| 1412 | 10 * 142 = 196 | a0 + d = −42 + 2 = −14 | 196 − 14 = 182 | 412 = 1681 | 182|1681 = 198|81 |
| 1422 | 10 * 142 = 196 | a0 + 2d = −42 + 2 * 2 = −12 | 196 − 12 = 184 | 422 = 1764 | 184|1764 = 201|64 |
| 1432 | 10 * 142 = 196 | a0 + 3d = −42 + 3 * 2 = −10 | 196 − 10 = 186 | 432 = 1849 | 186|1849 = 204|49 |
| 1442 | 10 * 142 = 196 | a0 + 4d = −42 + 4 * 2 = −8 | 196 − 8 = 188 | 442 = 1936 | 188|1936 = 207|36 |
| 1452 | 10 * 142 = 196 | a0 + 5d = −42 + 5 * 2 = −6 | 196 − 6 = 190 | 452 = 2025 | 190|2025 = 210|25 |
| 1462 | 10 * 142 = 196 | a0 + 6d = −42 + 6 * 2 = −4 | 196 − 4 = 192 | 462 = 2116 | 192|2116 = 213|16 |
| 1472 | 10 * 142 = 196 | a0 + 7d = −42 + 7 * 2 = −2 | 196 − 2 = 194 | 472 = 2209 | 194|2209 = 216|09 |
| 1482 | 10 * 142 = 196 | a0 + 8d = −42 + 8 * 2 = 0 | 196 − 0 = 196 | 482 = 2304 | 196|2304 = 219|04 |
| 1492 | 10 * 142 = 196 | a0 + 9d = −42 + 9 * 2 = 2 | 196 + 2 = 198 | 492 = 2401 | 198|2401 = 222|01 |
| 1502 | 10 * 152 = 225 | a0 = −52 = −25 | 22525 = 200 | 502 = 2500 | 200|2500 = 225|00 |
| 1512 | 10 * 152 = 225 | a0 + d = −52 + 2 = −23 | 225 − 23 = 202 | 512 = 2601 | 202|2601 = 228|01 |
| 1522 | 10 * 152 = 225 | a0 + 2d = −52 + 2 * 2 = −21 | 225 − 21 = 204 | 522 = 2704 | 204|2704 = 231|04 |
| 1532 | 10 * 152 = 225 | a0 + 3d = −52 + 3 * 2 = −19 | 225 − 19 = 206 | 532 = 2809 | 206|2809 = 234|09 |
| 1542 | 10 * 152 = 225 | a0 + 4d = −52 + 5 * 2 = −17 | 225 − 17 = 208 | 542 = 2916 | 208|2916 = 237|16 |
| 1552 | 10 * 152 = 225 | a0 + 5d = −52 + 5 * 2 = −15 | 225 − 15 = 210 | 552 = 3025 | 210|3025 = 240|25 |
| 1562 | 10 * 152 = 225 | a0 + 6d = −52 + 6 * 2 = −13 | 225 − 13 = 212 | 562 = 3136 | 212|3136 = 243|36 |
| 1572 | 10 * 152 = 225 | a0 + 7d = −52 + 7 * 2 = −11 | 225 − 11 = 214 | 572 = 3249 | 214|3249 = 246|49 |
| 1582 | 10 * 152 = 225 | a0 + 8d = −52 + 8 * 2 = −9 | 225 − 9 = 216 | 582 = 3364 | 216|3364 = 249|64 |
| 1592 | 10 * 152 = 225 | a0 + 9d = −52 + 9 * 2 = −7 | 225 − 7 = 218 | 592 = 3481 | 218|3481 = 252|81 |
| 1602 | 162 = 256 | −62 = −36 | 256 − 36 = 220 | 602 = 3600 | 220|3600 = 256|00 |