1,43,161,407... find the next number with explanation?
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Given : 5 ,43, 161, 407... ( Correction in Question )
To Find : next number
Solution:
1³ + 2² = 1 + 4 = 5
3³ + 4² = 27 + 16 = 43
5³ + 6² = 125 + 36 = 161
7³ + 8² = 343 + 64 = 407
9³ + 10² = 729 + 100 = 829
Hence next number = 829
Logic is
Tₙ = (2n-1)³ + (2n)²
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