Directions: Find the missing term in the following number series. 1411, 1346, 1292, ?, 1217, 1196
Reveal answer
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Directions: Find the missing term in the following number series. 1411, 1346, 1292, ?, 1217, 1196
1265
1257
1249
1243
1231
Differences: 1411-1346=65, 1346-1292=54, 1292-1249=43, 1249-1217=32, 1217-1196=21. The difference decreases by 11 each time.
The differences between consecutive terms are successive perfect squares subtracted in descending order: 65 (1411 - 1346 is 8 squared plus 1), 54 (1346 - 1292 is 7 squared plus 5), 43 (1292 - 1249 is 6 squared plus 7), 32 (1249 - 1217 is 5 squared plus 7), and 21 (1217 - 1196 is 4 squared plus 5). The missing term is 1249.