3ⁿ⁺⁴ + 3ⁿ⁺³ + 3ⁿ⁺¹ = aaa
3ⁿ⁺¹(3³ + 3² + 1) = aaa
3ⁿ⁺¹(27 + 9 + 1) = aaa
3ⁿ⁺¹ₓ37 = aaa
aaa poate fi 111, 222, 333, 444, 555, 666, 777, 888, 999
1)
3ⁿ⁺¹ₓ37 = 111
3ⁿ⁺¹ = 111 : 37
3ⁿ⁺¹ = 3¹
n + 1 = 1 => n = 0
2)
3ⁿ⁺¹ₓ37 = 222
3ⁿ⁺¹ = 6 nu ne convine
3)
3ⁿ⁺¹ₓ37 = 333
3ⁿ⁺¹ = 9
3ⁿ⁺¹ = 3²
n + 1 = 2 => n = 1
4)
3ⁿ⁺¹ₓ37 = 444
3ⁿ⁺¹ = 12 nu ne convine
5)
3ⁿ⁺¹ₓ37 = 555
3ⁿ⁺¹ = 15 nu ne convine
6)
3ⁿ⁺¹ₓ37 = 666
3ⁿ⁺¹ = 18 nu ne convine
7)
3ⁿ⁺¹ₓ37 = 777
3ⁿ⁺¹ = 21 nu ne convine
8)
3ⁿ⁺¹ₓ37 = 888
3ⁿ⁺¹ = 24 nu ne convine
9)
3ⁿ⁺¹ₓ37 = 999
3ⁿ⁺¹ = 27
3ⁿ⁺¹ = 3³
n + 1 = 3 => n = 2
